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@casparvl
Created August 8, 2023 13:52
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Lapack tests results for OpenBLAS 0.3.21 with GCC 12.2.0 on ARM neoverse_v1
Tests of the Nonsymmetric Eigenvalue Problem routines
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 0 1 2 3 5 10 16
N: 0 1 2 3 5 10 16
NB: 1 3 3 3 20
NBMIN: 2 2 2 2 2
NX: 1 0 5 9 1
INMIN: 11 12 11 15 11
INWIN: 2 3 5 3 2
INIBL: 0 5 7 3 200
ISHFTS: 1 2 4 2 1
IACC22: 0 1 2 0 1
Relative machine underflow is taken to be 0.117549E-37
Relative machine overflow is taken to be 0.340282E+39
Relative machine precision is taken to be 0.596046E-07
Routines pass computational tests if test ratio is less than 20.00
SHS routines passed the tests of the error exits ( 66 tests done)
NEP: NB = 1, NBMIN = 2, NX = 1, INMIN= 11, INWIN = 2, INIBL = 0, ISHFTS = 1, IACC22 = 0
All tests for SHS passed the threshold ( 1764 tests run)
NEP: NB = 3, NBMIN = 2, NX = 0, INMIN= 12, INWIN = 3, INIBL = 5, ISHFTS = 2, IACC22 = 1
All tests for SHS passed the threshold ( 1764 tests run)
NEP: NB = 3, NBMIN = 2, NX = 5, INMIN= 11, INWIN = 5, INIBL = 7, ISHFTS = 4, IACC22 = 2
All tests for SHS passed the threshold ( 1764 tests run)
NEP: NB = 3, NBMIN = 2, NX = 9, INMIN= 15, INWIN = 3, INIBL = 3, ISHFTS = 2, IACC22 = 0
All tests for SHS passed the threshold ( 1764 tests run)
NEP: NB = 20, NBMIN = 2, NX = 1, INMIN= 11, INWIN = 2, INIBL = 200, ISHFTS = 1, IACC22 = 1
All tests for SHS passed the threshold ( 1764 tests run)
End of tests
Total time used = 0.40 seconds
Tests of the Symmetric Eigenvalue Problem routines
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 0 1 2 3 5 20
N: 0 1 2 3 5 20
NB: 1 3 3 3 10
NBMIN: 2 2 2 2 2
NX: 1 0 5 9 1
Relative machine underflow is taken to be 0.117549E-37
Relative machine overflow is taken to be 0.340282E+39
Relative machine precision is taken to be 0.596046E-07
Routines pass computational tests if test ratio is less than 50.00
SST routines passed the tests of the error exits (209 tests done)
SEP: NB = 1, NBMIN = 2, NX = 1
All tests for SST passed the threshold ( 4440 tests run)
All tests for SST drivers passed the threshold ( 13464 tests run)
SEP: NB = 3, NBMIN = 2, NX = 0
All tests for SST passed the threshold ( 4440 tests run)
All tests for SST drivers passed the threshold ( 13464 tests run)
SEP: NB = 3, NBMIN = 2, NX = 5
All tests for SST passed the threshold ( 4440 tests run)
All tests for SST drivers passed the threshold ( 13464 tests run)
SEP: NB = 3, NBMIN = 2, NX = 9
All tests for SST passed the threshold ( 4440 tests run)
All tests for SST drivers passed the threshold ( 13464 tests run)
SEP: NB = 10, NBMIN = 2, NX = 1
All tests for SST passed the threshold ( 4440 tests run)
All tests for SST drivers passed the threshold ( 13464 tests run)
routines were not tested
End of tests
Total time used = 5.17 seconds
Tests of the Symmetric Eigenvalue Problem routines
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 0 1 2 3 5 20
N: 0 1 2 3 5 20
NB: 1 3 3 3 10
NBMIN: 2 2 2 2 2
NX: 1 0 5 9 1
Relative machine underflow is taken to be 0.117549E-37
Relative machine overflow is taken to be 0.340282E+39
Relative machine precision is taken to be 0.596046E-07
Routines pass computational tests if test ratio is less than 50.00
SST routines passed the tests of the error exits (209 tests done)
SE2: NB = 1, NBMIN = 2, NX = 1
All tests for SST passed the threshold ( 4440 tests run)
All tests for SST drivers passed the threshold ( 13464 tests run)
SE2: NB = 3, NBMIN = 2, NX = 0
All tests for SST passed the threshold ( 4440 tests run)
All tests for SST drivers passed the threshold ( 13464 tests run)
SE2: NB = 3, NBMIN = 2, NX = 5
All tests for SST passed the threshold ( 4440 tests run)
All tests for SST drivers passed the threshold ( 13464 tests run)
SE2: NB = 3, NBMIN = 2, NX = 9
All tests for SST passed the threshold ( 4440 tests run)
All tests for SST drivers passed the threshold ( 13464 tests run)
SE2: NB = 10, NBMIN = 2, NX = 1
All tests for SST passed the threshold ( 4440 tests run)
All tests for SST drivers passed the threshold ( 13464 tests run)
routines were not tested
End of tests
Total time used = 19.90 seconds
Tests of the Singular Value Decomposition routines
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 0 0 0 1 1 1 2 2 3 3
3 10 10 16 16 30 30 40 40
N: 0 1 3 0 1 2 0 1 0 1
3 10 16 10 16 30 40 30 40
NB: 1 3 3 3 20
NBMIN: 2 2 2 2 2
NX: 1 0 5 9 1
NS: 2 0 2 2 2
Relative machine underflow is taken to be 0.117549E-37
Relative machine overflow is taken to be 0.340282E+39
Relative machine precision is taken to be 0.596046E-07
Routines pass computational tests if test ratio is less than 50.00
SBD routines passed the tests of the error exits ( 55 tests done)
SGESVD passed the tests of the error exits ( 8 tests done)
SGESDD passed the tests of the error exits ( 6 tests done)
SGEJSV passed the tests of the error exits ( 11 tests done)
SGESVDX passed the tests of the error exits ( 12 tests done)
SGESVDQ passed the tests of the error exits ( 11 tests done)
SVD: NB = 1, NBMIN = 2, NX = 1, NRHS = 2
All tests for SBD routines passed the threshold ( 10260 tests run)
All tests for SBD drivers passed the threshold ( 14820 tests run)
SVD: NB = 3, NBMIN = 2, NX = 0, NRHS = 0
All tests for SBD routines passed the threshold ( 10260 tests run)
All tests for SBD drivers passed the threshold ( 14820 tests run)
SVD: NB = 3, NBMIN = 2, NX = 5, NRHS = 2
All tests for SBD routines passed the threshold ( 10260 tests run)
All tests for SBD drivers passed the threshold ( 14820 tests run)
SVD: NB = 3, NBMIN = 2, NX = 9, NRHS = 2
All tests for SBD routines passed the threshold ( 10260 tests run)
All tests for SBD drivers passed the threshold ( 14820 tests run)
SVD: NB = 20, NBMIN = 2, NX = 1, NRHS = 2
All tests for SBD routines passed the threshold ( 10260 tests run)
All tests for SBD drivers passed the threshold ( 14820 tests run)
End of tests
Total time used = 21.02 seconds
Tests of the Nonsymmetric eigenproblem condition estimation routines
SLALN2, SLASY2, SLANV2, SLAEXC, STRSYL, STREXC, STRSNA, STRSEN, SLAQTR
Relative machine precision (EPS) = 0.119209E-06
Safe minimum (SFMIN) = 0.117549E-37
Routines pass computational tests if test ratio is less than 20.00
SEC routines passed the tests of the error exits ( 35 tests done)
All tests for SEC routines passed the threshold ( 501251 tests run)
End of tests
Total time used = 0.15 seconds
Tests of the Nonsymmetric Eigenvalue Problem Driver
SGEEV (eigenvalues and eigevectors)
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 0 1 2 3 5 10 20
N: 0 1 2 3 5 10 20
NB: 3
NBMIN: 3
NX: 1
INMIN: 11
INWIN: 4
INIBL: 8
ISHFTS: 2
IACC22: 0
Relative machine underflow is taken to be 0.117549E-37
Relative machine overflow is taken to be 0.340282E+39
Relative machine precision is taken to be 0.596046E-07
Routines pass computational tests if test ratio is less than 20.00
SGEEV passed the tests of the error exits ( 7 tests done)
All tests for SEV passed the threshold ( 1092 tests run)
-----------------------------------------------------------------------
Tests of the Nonsymmetric Eigenvalue Problem Driver
SGEES (Schur form)
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 0 1 2 3 5 10 20
N: 0 1 2 3 5 10 20
NB: 3
NBMIN: 3
NX: 1
INMIN: 11
INWIN: 4
INIBL: 8
ISHFTS: 2
IACC22: 0
Relative machine underflow is taken to be 0.117549E-37
Relative machine overflow is taken to be 0.340282E+39
Relative machine precision is taken to be 0.596046E-07
Routines pass computational tests if test ratio is less than 20.00
SGEES passed the tests of the error exits ( 6 tests done)
All tests for SES passed the threshold ( 3822 tests run)
-----------------------------------------------------------------------
Tests of the Nonsymmetric Eigenvalue Problem Expert Driver
SGEEVX (eigenvalues, eigenvectors and condition numbers)
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 0 1 2 3 5 10 20
N: 0 1 2 3 5 10 20
NB: 3
NBMIN: 3
NX: 1
INMIN: 11
INWIN: 4
INIBL: 8
ISHFTS: 2
IACC22: 0
Relative machine underflow is taken to be 0.117549E-37
Relative machine overflow is taken to be 0.340282E+39
Relative machine precision is taken to be 0.596046E-07
Routines pass computational tests if test ratio is less than 20.00
SGEEVX passed the tests of the error exits ( 11 tests done)
All tests for SVX passed the threshold ( 6282 tests run)
-----------------------------------------------------------------------
Tests of the Nonsymmetric Eigenvalue Problem Expert Driver
SGEESX (Schur form and condition numbers)
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 0 1 2 3 5 10
N: 0 1 2 3 5 10
NB: 3
NBMIN: 3
NX: 1
INMIN: 11
INWIN: 4
INIBL: 8
ISHFTS: 2
IACC22: 0
Relative machine underflow is taken to be 0.117549E-37
Relative machine overflow is taken to be 0.340282E+39
Relative machine precision is taken to be 0.596046E-07
Routines pass computational tests if test ratio is less than 20.00
SGEESX passed the tests of the error exits ( 7 tests done)
All tests for SSX passed the threshold ( 3508 tests run)
-----------------------------------------------------------------------
End of tests
Total time used = 2.66 seconds
Tests of the Generalized Nonsymmetric Eigenvalue Problem routines
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 0 1 2 3 5 10 16
N: 0 1 2 3 5 10 16
NB: 1 1 2 2
NBMIN: 40 40 2 2
NS: 2 4 2 4
MAXB: 40 40 2 2
IACC22: 1 2 1 2
NBCOL: 40 40 2 2
Relative machine underflow is taken to be 0.117549E-37
Relative machine overflow is taken to be 0.340282E+39
Relative machine precision is taken to be 0.596046E-07
Routines pass computational tests if test ratio is less than 20.00
SGG routines passed the tests of the error exits ( 36 tests done)
SGG: NB = 1, NBMIN = 40, NS = 2, MAXB = 40, IACC22 = 1, NBCOL = 40
All tests for SGG passed the threshold ( 2184 tests run)
SGG: NB = 1, NBMIN = 40, NS = 4, MAXB = 40, IACC22 = 2, NBCOL = 40
All tests for SGG passed the threshold ( 2184 tests run)
SGG: NB = 2, NBMIN = 2, NS = 2, MAXB = 2, IACC22 = 1, NBCOL = 2
All tests for SGG passed the threshold ( 2184 tests run)
SGG: NB = 2, NBMIN = 2, NS = 4, MAXB = 2, IACC22 = 2, NBCOL = 2
All tests for SGG passed the threshold ( 2184 tests run)
End of tests
Total time used = 0.02 seconds
Tests of the Generalized Nonsymmetric Eigenvalue Problem Driver SGGES
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 2 6 10 12 20
N: 2 6 10 12 20
NB: 1
NBMIN: 1
NX: 1
NS: 2
MAXB: 1
Relative machine underflow is taken to be 0.117549E-37
Relative machine overflow is taken to be 0.340282E+39
Relative machine precision is taken to be 0.596046E-07
Routines pass computational tests if test ratio is less than 10.00
SGS routines passed the tests of the error exits (108 tests done)
All tests for SGS drivers passed the threshold ( 1560 tests run)
All tests for SGS drivers passed the threshold ( 1560 tests run)
-----------------------------------------------------------------------
Tests of the Generalized Nonsymmetric Eigenvalue Problem Driver SGGEV
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 2 6 8 10 15 20
N: 2 6 8 10 15 20
NB: 1
NBMIN: 1
NX: 1
NS: 2
MAXB: 1
Relative machine underflow is taken to be 0.117549E-37
Relative machine overflow is taken to be 0.340282E+39
Relative machine precision is taken to be 0.596046E-07
Routines pass computational tests if test ratio is less than 10.00
SGV routines passed the tests of the error exits (108 tests done)
SGV -- Real Generalized eigenvalue problem driver
Matrix types (see SDRGEV for details):
Special Matrices: (J'=transposed Jordan block)
1=(0,0) 2=(I,0) 3=(0,I) 4=(I,I) 5=(J',J') 6=(diag(J',I), diag(I,J'))
Diagonal Matrices: ( D=diag(0,1,2,...) )
7=(D,I) 9=(large*D, small*I) 11=(large*I, small*D) 13=(large*D, large*I)
8=(I,D) 10=(small*D, large*I) 12=(small*I, large*D) 14=(small*D, small*I)
15=(D, reversed D)
Matrices Rotated by Random Orthogonal Matrices U, V:
16=Transposed Jordan Blocks 19=geometric alpha, beta=0,1
17=arithm. alpha&beta 20=arithmetic alpha, beta=0,1
18=clustered alpha, beta=0,1 21=random alpha, beta=0,1
Large & Small Matrices:
22=(large, small) 23=(small,large) 24=(small,small) 25=(large,large)
26=random O(1) matrices.
Tests performed:
1 = max | ( b A - a B )'*l | / const.,
2 = | |VR(i)| - 1 | / ulp,
3 = max | ( b A - a B )*r | / const.
4 = | |VL(i)| - 1 | / ulp,
5 = 0 if W same no matter if r or l computed,
6 = 0 if l same no matter if l computed,
7 = 0 if r same no matter if r computed,
Matrix order= 6, type= 7, seed= 749, 608,2536,2777, result 5 is 8.389E+06
Matrix order= 6, type=17, seed=2156,3982,1520, 609, result 5 is 8.389E+06
Matrix order= 6, type=18, seed=2220,1039,3152,3329, result 5 is 8.389E+06
Matrix order= 6, type=19, seed=1252,1538,2795,2113, result 5 is 8.389E+06
Matrix order= 6, type=20, seed=3973,1189,1391, 897, result 5 is 8.389E+06
Matrix order= 6, type=21, seed=3618, 381,2331,3777, result 5 is 8.389E+06
Matrix order= 6, type=22, seed=2087, 245,3121,3813, result 5 is 8.389E+06
Matrix order= 6, type=23, seed=1211,2645,2652,2837, result 5 is 8.389E+06
Matrix order= 6, type=24, seed= 296, 476, 852,3141, result 5 is 8.389E+06
Matrix order= 6, type=25, seed= 167,1691, 704,4017, result 5 is 8.389E+06
Matrix order= 6, type=26, seed= 560,2613,1779, 877, result 5 is 8.389E+06
Matrix order= 8, type= 8, seed= 396,3438,1623, 37, result 5 is 8.389E+06
Matrix order= 8, type=17, seed=2360, 136,2259,1517, result 5 is 8.389E+06
Matrix order= 8, type=18, seed= 321, 924,2569,1053, result 5 is 8.389E+06
Matrix order= 8, type=19, seed=2476,3695,4074, 421, result 5 is 8.389E+06
Matrix order= 8, type=20, seed= 538,1366,2691,1133, result 5 is 8.389E+06
Matrix order= 8, type=21, seed= 898, 954, 677,3701, result 5 is 8.389E+06
Matrix order= 8, type=22, seed=2191, 160, 405,2929, result 5 is 8.389E+06
Matrix order= 8, type=23, seed= 473,1902,1912,3061, result 5 is 8.389E+06
Matrix order= 8, type=24, seed=2849,1394, 833,2741, result 5 is 8.389E+06
Matrix order= 8, type=25, seed= 889,2561,1319, 841, result 5 is 8.389E+06
Matrix order= 8, type=26, seed= 210,3566,2379,1325, result 5 is 8.389E+06
Matrix order= 10, type= 8, seed=3861,2249,1005,3889, result 5 is 8.389E+06
Matrix order= 10, type=10, seed= 6,2013,2924, 937, result 5 is 8.389E+06
Matrix order= 10, type=13, seed=3188, 634,2599,3861, result 5 is 8.389E+06
Matrix order= 10, type=17, seed=1420,1879,1628, 85, result 5 is 8.389E+06
Matrix order= 10, type=18, seed=2850,2068,3221,2585, result 5 is 8.389E+06
Matrix order= 10, type=19, seed=1640,1402,1239,1545, result 5 is 8.389E+06
Matrix order= 10, type=20, seed= 713,3580,2883,2809, result 5 is 8.389E+06
Matrix order= 10, type=21, seed=2901,3525,3721,2281, result 5 is 8.389E+06
Matrix order= 10, type=22, seed=1241,1261, 327,2129, result 5 is 8.389E+06
Matrix order= 10, type=23, seed=2572,3083,2168,3969, result 5 is 8.389E+06
Matrix order= 10, type=24, seed=1210,3887,1474,2237, result 5 is 8.389E+06
Matrix order= 10, type=25, seed= 145,1015, 955,1069, result 5 is 8.389E+06
Matrix order= 10, type=26, seed=3592,3268,3086,1181, result 5 is 8.389E+06
Matrix order= 15, type= 7, seed= 968, 947,1257,2941, result 5 is 8.389E+06
Matrix order= 15, type= 8, seed=1885, 166, 800, 81, result 5 is 8.389E+06
Matrix order= 15, type=10, seed= 798,1691,2423, 745, result 5 is 8.389E+06
Matrix order= 15, type=11, seed= 931,1787, 557,2429, result 5 is 8.389E+06
Matrix order= 15, type=17, seed= 529,3615,1764,1221, result 5 is 8.389E+06
Matrix order= 15, type=18, seed=3991, 625,3539,2581, result 5 is 8.389E+06
Matrix order= 15, type=19, seed=2400,1821, 218,1365, result 5 is 8.389E+06
Matrix order= 15, type=20, seed=2155,2073,3686, 149, result 5 is 8.389E+06
Matrix order= 15, type=21, seed=3823,2194,3510,3029, result 5 is 8.389E+06
Matrix order= 15, type=22, seed=2951, 608,1256,3481, result 5 is 8.389E+06
Matrix order= 15, type=23, seed=1243,2927, 263, 357, result 5 is 8.389E+06
Matrix order= 15, type=24, seed=1487,3956,2976,3649, result 5 is 8.389E+06
Matrix order= 15, type=25, seed=2605,2211,3982,2721, result 5 is 8.389E+06
Matrix order= 15, type=26, seed= 8,1600,1726,2817, result 5 is 8.389E+06
Matrix order= 20, type= 8, seed= 624, 693,1681, 9, result 5 is 8.389E+06
Matrix order= 20, type=10, seed= 563,2705, 428, 633, result 5 is 8.389E+06
Matrix order= 20, type=12, seed= 112,1059,2403,2121, result 5 is 8.389E+06
Matrix order= 20, type=13, seed=3448,3524, 410,2697, result 5 is 8.389E+06
Matrix order= 20, type=14, seed= 248, 6,3354,3273, result 5 is 8.389E+06
Matrix order= 20, type=17, seed= 723,4024,2193,2265, result 5 is 8.389E+06
Matrix order= 20, type=18, seed= 828, 842,1787,3733, result 5 is 8.389E+06
Matrix order= 20, type=19, seed= 252,3327,3300,1389, result 5 is 8.389E+06
Matrix order= 20, type=20, seed=1904,2346,3199,2437, result 5 is 8.389E+06
Matrix order= 20, type=21, seed=4066, 26,1253, 221, result 5 is 8.389E+06
Matrix order= 20, type=22, seed=3234,3664,3237,3473, result 5 is 8.389E+06
Matrix order= 20, type=23, seed= 481, 957,3230,3689, result 5 is 8.389E+06
Matrix order= 20, type=24, seed=2871,2618,1987,2949, result 5 is 8.389E+06
Matrix order= 20, type=25, seed=2604,3233, 644,3529, result 5 is 8.389E+06
Matrix order= 20, type=26, seed=1465,2266,3976,3833, result 5 is 8.389E+06
SGV drivers: 64 out of 1092 tests failed to pass the threshold
SGV -- Real Generalized eigenvalue problem driver
Matrix types (see SDRGEV3 for details):
Special Matrices: (J'=transposed Jordan block)
1=(0,0) 2=(I,0) 3=(0,I) 4=(I,I) 5=(J',J') 6=(diag(J',I), diag(I,J'))
Diagonal Matrices: ( D=diag(0,1,2,...) )
7=(D,I) 9=(large*D, small*I) 11=(large*I, small*D) 13=(large*D, large*I)
8=(I,D) 10=(small*D, large*I) 12=(small*I, large*D) 14=(small*D, small*I)
15=(D, reversed D)
Matrices Rotated by Random Orthogonal Matrices U, V:
16=Transposed Jordan Blocks 19=geometric alpha, beta=0,1
17=arithm. alpha&beta 20=arithmetic alpha, beta=0,1
18=clustered alpha, beta=0,1 21=random alpha, beta=0,1
Large & Small Matrices:
22=(large, small) 23=(small,large) 24=(small,small) 25=(large,large)
26=random O(1) matrices.
Tests performed:
1 = max | ( b A - a B )'*l | / const.,
2 = | |VR(i)| - 1 | / ulp,
3 = max | ( b A - a B )*r | / const.
4 = | |VL(i)| - 1 | / ulp,
5 = 0 if W same no matter if r or l computed,
6 = 0 if l same no matter if l computed,
7 = 0 if r same no matter if r computed,
Matrix order= 6, type=13, seed= 297,1667,3948,1497, result 5 is 8.389E+06
Matrix order= 6, type=17, seed=2586,3313,3982,3865, result 5 is 8.389E+06
Matrix order= 6, type=18, seed= 48,1742,1112,2085, result 5 is 8.389E+06
Matrix order= 6, type=19, seed=3888,1841,2080,2149, result 5 is 8.389E+06
Matrix order= 6, type=20, seed=1077, 187, 917,2213, result 5 is 8.389E+06
Matrix order= 6, type=21, seed=3372,1295, 247,2277, result 5 is 8.389E+06
Matrix order= 6, type=22, seed=1046, 351, 124,3589, result 5 is 8.389E+06
Matrix order= 6, type=23, seed= 703,3627, 769,2101, result 5 is 8.389E+06
Matrix order= 6, type=24, seed=2354,1615, 240, 993, result 5 is 8.389E+06
Matrix order= 6, type=25, seed= 974,1529,1668,3805, result 5 is 8.389E+06
Matrix order= 6, type=26, seed=1043,2199,1531,1933, result 5 is 8.389E+06
Matrix order= 8, type= 7, seed=1356,1729,1678,2669, result 5 is 8.389E+06
Matrix order= 8, type= 8, seed= 388,3790,1870,1861, result 5 is 8.389E+06
Matrix order= 8, type= 9, seed=1538,3448, 132, 493, result 5 is 8.389E+06
Matrix order= 8, type=11, seed= 251,2900, 141,2413, result 5 is 8.389E+06
Matrix order= 8, type=14, seed= 81, 108,3617,3285, result 5 is 8.389E+06
Matrix order= 8, type=17, seed=3243, 294,1086,2365, result 5 is 8.389E+06
Matrix order= 8, type=18, seed=4055,2818, 910,1909, result 5 is 8.389E+06
Matrix order= 8, type=19, seed=2627,1732,1535, 701, result 5 is 8.389E+06
Matrix order= 8, type=20, seed= 202,3818,2830,2373, result 5 is 8.389E+06
Matrix order= 8, type=21, seed= 351,1543,3180,3341, result 5 is 8.389E+06
Matrix order= 8, type=22, seed= 283,1215, 332, 469, result 5 is 8.389E+06
Matrix order= 8, type=23, seed=2448,2937, 773,2197, result 5 is 8.389E+06
Matrix order= 8, type=24, seed= 285,2906,3235,3857, result 5 is 8.389E+06
Matrix order= 8, type=25, seed= 582,1680, 289,1745, result 5 is 8.389E+06
Matrix order= 8, type=26, seed= 636,3697,2572, 541, result 5 is 8.389E+06
Matrix order= 10, type= 7, seed= 224,3678, 876, 29, result 5 is 8.389E+06
Matrix order= 10, type= 8, seed= 573,2931,1057, 529, result 5 is 8.389E+06
Matrix order= 10, type= 9, seed=1022,3392, 187, 485, result 5 is 8.389E+06
Matrix order= 10, type=10, seed= 308, 212,3333, 73, result 5 is 8.389E+06
Matrix order= 10, type=12, seed= 942, 478,1998,2705, result 5 is 8.389E+06
Matrix order= 10, type=13, seed=3036,2372,2403,2421, result 5 is 8.389E+06
Matrix order= 10, type=15, seed=1449,1275, 808,1853, result 5 is 8.389E+06
Matrix order= 15, type= 9, seed=1073,3800, 892,3993, result 5 is 8.389E+06
Matrix order= 15, type=12, seed=2288,1863,3505, 805, result 5 is 8.389E+06
Matrix order= 15, type=20, seed=1385,3819,2346,3557, result 5 is 8.389E+06
Matrix order= 20, type= 7, seed=3170, 828, 38,2941, result 5 is 8.389E+06
Matrix order= 20, type= 8, seed= 636, 119, 47,2269, result 5 is 8.389E+06
Matrix order= 20, type= 9, seed=1007,2268,2913, 29, result 5 is 8.389E+06
Matrix order= 20, type=10, seed= 104,1378,2159,1485, result 5 is 8.389E+06
Matrix order= 20, type=11, seed= 927, 874,3720,2349, result 5 is 8.389E+06
Matrix order= 20, type=16, seed=3366,1285,3695, 789, result 5 is 8.389E+06
Matrix order= 20, type=20, seed=3805,1478,2838,2509, result 5 is 8.389E+06
SGV drivers: 43 out of 1092 tests failed to pass the threshold
-----------------------------------------------------------------------
Tests of the Generalized Nonsymmetric Eigenvalue Problem Expert Driver SGGESX
LAPACK VERSION 3.9.0
The following parameter values will be used:
N: 2
NB: 1
NBMIN: 1
NX: 1
NS: 2
MAXB: 1
Relative machine underflow is taken to be 0.117549E-37
Relative machine overflow is taken to be 0.340282E+39
Relative machine precision is taken to be 0.596046E-07
Routines pass computational tests if test ratio is less than 10.00
SGX routines passed the tests of the error exits (108 tests done)
All tests for SGX drivers passed the threshold ( 150 tests run)
-----------------------------------------------------------------------
Tests of the Generalized Nonsymmetric Eigenvalue Problem Expert Driver SGGESX
LAPACK VERSION 3.9.0
The following parameter values will be used:
N: 0
NB: 1
NBMIN: 1
NX: 1
NS: 2
MAXB: 1
Relative machine underflow is taken to be 0.117549E-37
Relative machine overflow is taken to be 0.340282E+39
Relative machine precision is taken to be 0.596046E-07
Routines pass computational tests if test ratio is less than 10.00
SGX routines passed the tests of the error exits (108 tests done)
All tests for SGX drivers passed the threshold ( 20 tests run)
-----------------------------------------------------------------------
Tests of the Generalized Nonsymmetric Eigenvalue Problem Expert Driver SGGEVX
LAPACK VERSION 3.9.0
The following parameter values will be used:
N: 5
NB: 1
NBMIN: 1
NX: 1
NS: 2
MAXB: 1
Relative machine underflow is taken to be 0.117549E-37
Relative machine overflow is taken to be 0.340282E+39
Relative machine precision is taken to be 0.596046E-07
Routines pass computational tests if test ratio is less than 10.00
SXV routines passed the tests of the error exits (108 tests done)
All tests for SXV drivers passed the threshold ( 5000 tests run)
-----------------------------------------------------------------------
Tests of the Generalized Nonsymmetric Eigenvalue Problem Expert Driver SGGEVX
LAPACK VERSION 3.9.0
The following parameter values will be used:
N: 0
NB: 1
NBMIN: 1
NX: 1
NS: 2
MAXB: 1
Relative machine underflow is taken to be 0.117549E-37
Relative machine overflow is taken to be 0.340282E+39
Relative machine precision is taken to be 0.596046E-07
Routines pass computational tests if test ratio is less than 10.00
SXV routines passed the tests of the error exits (108 tests done)
All tests for SXV drivers passed the threshold ( 8 tests run)
-----------------------------------------------------------------------
End of tests
Total time used = 3.01 seconds
Tests of SSBTRD
(reduction of a symmetric band matrix to tridiagonal form)
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 5 20
N: 5 20
K: 0 1 2 5 16
Relative machine underflow is taken to be 0.117549E-37
Relative machine overflow is taken to be 0.340282E+39
Relative machine precision is taken to be 0.596046E-07
Routines pass computational tests if test ratio is less than 20.00
SSB routines passed the tests of the error exits ( 75 tests done)
All tests for SSB passed the threshold ( 810 tests run)
End of tests
Total time used = 0.37 seconds
Tests of the Symmetric Eigenvalue Problem routines
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 0 1 2 3 5 10 16
N: 0 1 2 3 5 10 16
NB: 1 3 20
NBMIN: 2 2 2
NX: 1 1 1
Relative machine underflow is taken to be 0.117549E-37
Relative machine overflow is taken to be 0.340282E+39
Relative machine precision is taken to be 0.596046E-07
Routines pass computational tests if test ratio is less than 20.00
SSG: NB = 1, NBMIN = 2, NX = 1
All tests for SSG passed the threshold ( 11172 tests run)
SSG: NB = 3, NBMIN = 2, NX = 1
All tests for SSG passed the threshold ( 11172 tests run)
SSG: NB = 20, NBMIN = 2, NX = 1
All tests for SSG passed the threshold ( 11172 tests run)
End of tests
Total time used = 15.25 seconds
Tests of SGBBRD
(reduction of a general band matrix to real bidiagonal form)
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 0 0 0 0 1 1 1 1 2 2
2 2 3 3 3 3 10 10 16 16
N: 0 1 2 3 0 1 2 3 0 1
2 3 0 1 2 3 10 16 10 16
K: 0 1 2 3 16
NS: 1 2
Relative machine underflow is taken to be 0.117549E-37
Relative machine overflow is taken to be 0.340282E+39
Relative machine precision is taken to be 0.596046E-07
Routines pass computational tests if test ratio is less than 20.00
SBB: NRHS = 1
All tests for SBB passed the threshold ( 3000 tests run)
SBB: NRHS = 2
All tests for SBB passed the threshold ( 3000 tests run)
End of tests
Total time used = 0.01 seconds
Tests of the Generalized Linear Regression Model routines
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 0 5 8 15 20 40
P: 9 0 15 12 15 30
N: 5 5 10 25 30 40
Relative machine underflow is taken to be 0.117549E-37
Relative machine overflow is taken to be 0.340282E+39
Relative machine precision is taken to be 0.596046E-07
Routines pass computational tests if test ratio is less than 20.00
GLM routines passed the tests of the error exits ( 8 tests done)
All tests for GLM routines passed the threshold ( 48 tests run)
End of tests
Total time used = 0.00 seconds
Tests of the Generalized QR and RQ routines
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 0 3 10
P: 0 5 20
N: 0 3 30
Relative machine underflow is taken to be 0.117549E-37
Relative machine overflow is taken to be 0.340282E+39
Relative machine precision is taken to be 0.596046E-07
Routines pass computational tests if test ratio is less than 20.00
GQR routines passed the tests of the error exits ( 12 tests done)
All tests for GQR routines passed the threshold ( 1728 tests run)
End of tests
Total time used = 0.01 seconds
Tests of the Generalized Singular Value Decomposition routines
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 0 5 9 10 20 12 12 40
P: 4 0 12 14 10 10 20 15
N: 3 10 15 12 8 20 8 20
Relative machine underflow is taken to be 0.117549E-37
Relative machine overflow is taken to be 0.340282E+39
Relative machine precision is taken to be 0.596046E-07
Routines pass computational tests if test ratio is less than 20.00
GSV routines passed the tests of the error exits ( 33 tests done)
All tests for GSV routines passed the threshold ( 384 tests run)
End of tests
Total time used = 0.00 seconds
Tests of the CS Decomposition routines
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 0 10 10 10 10 21 24 30 22 32
P: 0 4 4 0 10 9 10 20 12 12
N: 0 0 10 4 4 15 12 8 20 8
Relative machine underflow is taken to be 0.117549E-37
Relative machine overflow is taken to be 0.340282E+39
Relative machine precision is taken to be 0.596046E-07
Routines pass computational tests if test ratio is less than 30.00
CSD routines passed the tests of the error exits ( 8 tests done)
All tests for CSD routines passed the threshold ( 600 tests run)
End of tests
Total time used = 0.00 seconds
Tests of the Linear Least Squares routines
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 6 0 5 8 10 30
P: 0 5 5 5 8 20
N: 5 5 6 8 12 40
Relative machine underflow is taken to be 0.117549E-37
Relative machine overflow is taken to be 0.340282E+39
Relative machine precision is taken to be 0.596046E-07
Routines pass computational tests if test ratio is less than 20.00
LSE routines passed the tests of the error exits ( 8 tests done)
All tests for LSE routines passed the threshold ( 96 tests run)
End of tests
Total time used = 0.03 seconds
Tests of the REAL LAPACK routines
LAPACK VERSION 3.9.0
The following parameter values will be used:
M : 0 1 2 3 5 10 50
N : 0 1 2 3 5 10 50
NRHS: 1 2 15
NB : 1 3 3 3 20
NX : 1 0 5 9 1
RANK: 30 50 90
Routines pass computational tests if test ratio is less than 30.00
Relative machine underflow is taken to be 0.117549E-37
Relative machine overflow is taken to be 0.340282E+39
Relative machine precision is taken to be 0.596046E-07
SGE routines passed the tests of the error exits
All tests for SGE routines passed the threshold ( 3653 tests run)
SGE drivers passed the tests of the error exits
All tests for SGE drivers passed the threshold ( 5748 tests run)
SGB routines passed the tests of the error exits
All tests for SGB routines passed the threshold ( 28938 tests run)
SGB drivers passed the tests of the error exits
All tests for SGB drivers passed the threshold ( 36567 tests run)
SGT routines passed the tests of the error exits
All tests for SGT routines passed the threshold ( 2694 tests run)
SGT drivers passed the tests of the error exits
All tests for SGT drivers passed the threshold ( 2033 tests run)
SPO routines passed the tests of the error exits
All tests for SPO routines passed the threshold ( 1628 tests run)
SPO drivers passed the tests of the error exits
All tests for SPO drivers passed the threshold ( 1910 tests run)
SPS routines passed the tests of the error exits
All tests for SPS routines passed the threshold ( 150 tests run)
SPP routines passed the tests of the error exits
All tests for SPP routines passed the threshold ( 1332 tests run)
SPP drivers passed the tests of the error exits
All tests for SPP drivers passed the threshold ( 1910 tests run)
SPB routines passed the tests of the error exits
All tests for SPB routines passed the threshold ( 3458 tests run)
SPB drivers passed the tests of the error exits
All tests for SPB drivers passed the threshold ( 4750 tests run)
SPT routines passed the tests of the error exits
All tests for SPT routines passed the threshold ( 953 tests run)
SPT drivers passed the tests of the error exits
All tests for SPT drivers passed the threshold ( 788 tests run)
SSY routines passed the tests of the error exits
All tests for SSY routines passed the threshold ( 1846 tests run)
SSY drivers passed the tests of the error exits
All tests for SSY drivers passed the threshold ( 1072 tests run)
SSR routines passed the tests of the error exits
All tests for SSR routines passed the threshold ( 1618 tests run)
SSR drivers passed the tests of the error exits
All tests for SSR drivers passed the threshold ( 222 tests run)
SSK routines passed the tests of the error exits
All tests for SSK routines passed the threshold ( 1618 tests run)
SSK drivers passed the tests of the error exits
All tests for SSK drivers passed the threshold ( 222 tests run)
SSA routines passed the tests of the error exits
All tests for SSA routines passed the threshold ( 1320 tests run)
SSA drivers passed the tests of the error exits
All tests for SSA drivers passed the threshold ( 148 tests run)
SS2 routines passed the tests of the error exits
All tests for SS2 routines passed the threshold ( 666 tests run)
SS2 drivers passed the tests of the error exits
All tests for SS2 drivers passed the threshold ( 74 tests run)
SSP routines passed the tests of the error exits
All tests for SSP routines passed the threshold ( 1404 tests run)
SSP drivers passed the tests of the error exits
All tests for SSP drivers passed the threshold ( 1072 tests run)
STR routines passed the tests of the error exits
All tests for STR routines passed the threshold ( 7672 tests run)
STP routines passed the tests of the error exits
All tests for STP routines passed the threshold ( 7392 tests run)
STB routines passed the tests of the error exits
All tests for STB routines passed the threshold ( 19888 tests run)
SQR routines passed the tests of the error exits
All tests for SQR routines passed the threshold ( 42840 tests run)
SRQ routines passed the tests of the error exits
All tests for SRQ routines passed the threshold ( 28784 tests run)
SLQ routines passed the tests of the error exits
All tests for SLQ routines passed the threshold ( 28784 tests run)
SQL routines passed the tests of the error exits
All tests for SQL routines passed the threshold ( 28784 tests run)
All tests for SQ3 routines passed the threshold ( 4410 tests run)
STZ routines passed the tests of the error exits
All tests for STZ routines passed the threshold ( 252 tests run)
SLS routines passed the tests of the error exits
All tests for SLS drivers passed the threshold ( 105840 tests run)
All tests for SEQ routines passed the threshold
SQT routines passed the tests of the error exits
All tests for SQT routines passed the threshold ( 510 tests run)
SQX routines passed the tests of the error exits
All tests for SQX routines passed the threshold ( 1482 tests run)
SXQ routines passed the tests of the error exits
All tests for SXQ routines passed the threshold ( 1482 tests run)
STQ routines passed the tests of the error exits
All tests for STQ routines passed the threshold ( 510 tests run)
STS routines passed the tests of the error exits
All tests for STS routines passed the threshold ( 10800 tests run)
SHH routines passed the tests of the error exits
All tests for SHH routines passed the threshold ( 15900 tests run)
End of tests
Total time used = 31.19 seconds
Tests of the REAL LAPACK RFP routines
LAPACK VERSION 3.9.0
The following parameter values will be used:
N : 0 1 2 3 5 6 10 11 50
NRHS: 1 2 15
TYPE: 1 2 3 4 5 6 7 8 9
Routines pass computational tests if test ratio is less than 42.00
Relative machine underflow is taken to be 0.117549D-37
Relative machine overflow is taken to be 0.340282D+39
Relative machine precision is taken to be 0.596046D-07
REAL RFP routines passed the tests of the error exits
All tests for SPF drivers passed the threshold ( 2304 tests run)
All tests for SLANSF auxiliary routine passed the threshold ( 384 tests run)
All tests for the RFP conversion routines passed ( 72 tests run)
All tests for STFSM auxiliary routine passed the threshold ( 7776 tests run)
All tests for SSFRK auxiliary routine passed the threshold ( 2592 tests run)
End of tests
Total time used = 1.19 seconds
Tests of the Nonsymmetric Eigenvalue Problem routines
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 0 1 2 3 5 10 16
N: 0 1 2 3 5 10 16
NB: 1 3 3 3 20
NBMIN: 2 2 2 2 2
NX: 1 0 5 9 1
INMIN: 11 12 11 15 11
INWIN: 2 3 5 3 2
INIBL: 0 5 7 3 200
ISHFTS: 1 2 4 2 1
IACC22: 0 1 2 0 1
Relative machine underflow is taken to be 0.222507-307
Relative machine overflow is taken to be 0.179769+309
Relative machine precision is taken to be 0.111022D-15
Routines pass computational tests if test ratio is less than 20.00
DHS routines passed the tests of the error exits ( 66 tests done)
NEP: NB = 1, NBMIN = 2, NX = 1, INMIN= 11, INWIN = 2, INIBL = 0, ISHFTS = 1, IACC22 = 0
All tests for DHS passed the threshold ( 1764 tests run)
NEP: NB = 3, NBMIN = 2, NX = 0, INMIN= 12, INWIN = 3, INIBL = 5, ISHFTS = 2, IACC22 = 1
All tests for DHS passed the threshold ( 1764 tests run)
NEP: NB = 3, NBMIN = 2, NX = 5, INMIN= 11, INWIN = 5, INIBL = 7, ISHFTS = 4, IACC22 = 2
All tests for DHS passed the threshold ( 1764 tests run)
NEP: NB = 3, NBMIN = 2, NX = 9, INMIN= 15, INWIN = 3, INIBL = 3, ISHFTS = 2, IACC22 = 0
All tests for DHS passed the threshold ( 1764 tests run)
NEP: NB = 20, NBMIN = 2, NX = 1, INMIN= 11, INWIN = 2, INIBL = 200, ISHFTS = 1, IACC22 = 1
All tests for DHS passed the threshold ( 1764 tests run)
End of tests
Total time used = 0.43 seconds
Tests of the Symmetric Eigenvalue Problem routines
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 0 1 2 3 5 20
N: 0 1 2 3 5 20
NB: 1 3 3 3 10
NBMIN: 2 2 2 2 2
NX: 1 0 5 9 1
Relative machine underflow is taken to be 0.222507-307
Relative machine overflow is taken to be 0.179769+309
Relative machine precision is taken to be 0.111022D-15
Routines pass computational tests if test ratio is less than 50.00
DST routines passed the tests of the error exits (209 tests done)
SEP: NB = 1, NBMIN = 2, NX = 1
All tests for DST passed the threshold ( 4440 tests run)
All tests for DST drivers passed the threshold ( 13464 tests run)
SEP: NB = 3, NBMIN = 2, NX = 0
All tests for DST passed the threshold ( 4440 tests run)
All tests for DST drivers passed the threshold ( 13464 tests run)
SEP: NB = 3, NBMIN = 2, NX = 5
All tests for DST passed the threshold ( 4440 tests run)
All tests for DST drivers passed the threshold ( 13464 tests run)
SEP: NB = 3, NBMIN = 2, NX = 9
All tests for DST passed the threshold ( 4440 tests run)
All tests for DST drivers passed the threshold ( 13464 tests run)
SEP: NB = 10, NBMIN = 2, NX = 1
All tests for DST passed the threshold ( 4440 tests run)
All tests for DST drivers passed the threshold ( 13464 tests run)
routines were not tested
End of tests
Total time used = 5.47 seconds
Tests of the Symmetric Eigenvalue Problem routines
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 0 1 2 3 5 20
N: 0 1 2 3 5 20
NB: 1 3 3 3 10
NBMIN: 2 2 2 2 2
NX: 1 0 5 9 1
Relative machine underflow is taken to be 0.222507-307
Relative machine overflow is taken to be 0.179769+309
Relative machine precision is taken to be 0.111022D-15
Routines pass computational tests if test ratio is less than 50.00
DST routines passed the tests of the error exits (209 tests done)
SE2: NB = 1, NBMIN = 2, NX = 1
All tests for DST passed the threshold ( 4440 tests run)
All tests for DST drivers passed the threshold ( 13464 tests run)
SE2: NB = 3, NBMIN = 2, NX = 0
All tests for DST passed the threshold ( 4440 tests run)
All tests for DST drivers passed the threshold ( 13464 tests run)
SE2: NB = 3, NBMIN = 2, NX = 5
All tests for DST passed the threshold ( 4440 tests run)
All tests for DST drivers passed the threshold ( 13464 tests run)
SE2: NB = 3, NBMIN = 2, NX = 9
All tests for DST passed the threshold ( 4440 tests run)
All tests for DST drivers passed the threshold ( 13464 tests run)
SE2: NB = 10, NBMIN = 2, NX = 1
All tests for DST passed the threshold ( 4440 tests run)
All tests for DST drivers passed the threshold ( 13464 tests run)
routines were not tested
End of tests
Total time used = 21.33 seconds
Tests of the Singular Value Decomposition routines
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 0 0 0 1 1 1 2 2 3 3
3 10 10 16 16 30 30 40 40
N: 0 1 3 0 1 2 0 1 0 1
3 10 16 10 16 30 40 30 40
NB: 1 3 3 3 20
NBMIN: 2 2 2 2 2
NX: 1 0 5 9 1
NS: 2 0 2 2 2
Relative machine underflow is taken to be 0.222507-307
Relative machine overflow is taken to be 0.179769+309
Relative machine precision is taken to be 0.111022D-15
Routines pass computational tests if test ratio is less than 50.00
DBD routines passed the tests of the error exits ( 55 tests done)
DGESVD passed the tests of the error exits ( 8 tests done)
DGESDD passed the tests of the error exits ( 6 tests done)
DGEJSV passed the tests of the error exits ( 11 tests done)
DGESVDX passed the tests of the error exits ( 12 tests done)
DGESVDQ passed the tests of the error exits ( 11 tests done)
SVD: NB = 1, NBMIN = 2, NX = 1, NRHS = 2
All tests for DBD routines passed the threshold ( 10260 tests run)
All tests for DBD drivers passed the threshold ( 14820 tests run)
SVD: NB = 3, NBMIN = 2, NX = 0, NRHS = 0
All tests for DBD routines passed the threshold ( 10260 tests run)
All tests for DBD drivers passed the threshold ( 14820 tests run)
SVD: NB = 3, NBMIN = 2, NX = 5, NRHS = 2
All tests for DBD routines passed the threshold ( 10260 tests run)
All tests for DBD drivers passed the threshold ( 14820 tests run)
SVD: NB = 3, NBMIN = 2, NX = 9, NRHS = 2
All tests for DBD routines passed the threshold ( 10260 tests run)
All tests for DBD drivers passed the threshold ( 14820 tests run)
SVD: NB = 20, NBMIN = 2, NX = 1, NRHS = 2
All tests for DBD routines passed the threshold ( 10260 tests run)
All tests for DBD drivers passed the threshold ( 14820 tests run)
End of tests
Total time used = 23.93 seconds
Tests of the Nonsymmetric eigenproblem condition estimation routines
DLALN2, DLASY2, DLANV2, DLAEXC, DTRSYL, DTREXC, DTRSNA, DTRSEN, DLAQTR, DTGEXC
Relative machine precision (EPS) = 0.222045D-15
Safe minimum (SFMIN) = 0.222507-307
Routines pass computational tests if test ratio is less than 20.00
DEC routines passed the tests of the error exits ( 35 tests done)
All tests for DEC routines passed the threshold ( 501261 tests run)
End of tests
Total time used = 0.16 seconds
Tests of the Nonsymmetric Eigenvalue Problem Driver
DGEEV (eigenvalues and eigevectors)
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 0 1 2 3 5 10 20
N: 0 1 2 3 5 10 20
NB: 3
NBMIN: 3
NX: 1
INMIN: 11
INWIN: 4
INIBL: 8
ISHFTS: 2
IACC22: 0
Relative machine underflow is taken to be 0.222507-307
Relative machine overflow is taken to be 0.179769+309
Relative machine precision is taken to be 0.111022D-15
Routines pass computational tests if test ratio is less than 20.00
DGEEV passed the tests of the error exits ( 7 tests done)
All tests for DEV passed the threshold ( 1092 tests run)
-----------------------------------------------------------------------
Tests of the Nonsymmetric Eigenvalue Problem Driver
DGEES (Schur form)
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 0 1 2 3 5 10 20
N: 0 1 2 3 5 10 20
NB: 3
NBMIN: 3
NX: 1
INMIN: 11
INWIN: 4
INIBL: 8
ISHFTS: 2
IACC22: 0
Relative machine underflow is taken to be 0.222507-307
Relative machine overflow is taken to be 0.179769+309
Relative machine precision is taken to be 0.111022D-15
Routines pass computational tests if test ratio is less than 20.00
DGEES passed the tests of the error exits ( 6 tests done)
All tests for DES passed the threshold ( 3822 tests run)
-----------------------------------------------------------------------
Tests of the Nonsymmetric Eigenvalue Problem Expert Driver
DGEEVX (eigenvalues, eigenvectors and condition numbers)
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 0 1 2 3 5 10 20
N: 0 1 2 3 5 10 20
NB: 3
NBMIN: 3
NX: 1
INMIN: 11
INWIN: 4
INIBL: 8
ISHFTS: 2
IACC22: 0
Relative machine underflow is taken to be 0.222507-307
Relative machine overflow is taken to be 0.179769+309
Relative machine precision is taken to be 0.111022D-15
Routines pass computational tests if test ratio is less than 20.00
DGEEVX passed the tests of the error exits ( 11 tests done)
All tests for DVX passed the threshold ( 6282 tests run)
-----------------------------------------------------------------------
Tests of the Nonsymmetric Eigenvalue Problem Expert Driver
DGEESX (Schur form and condition numbers)
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 0 1 2 3 5 10
N: 0 1 2 3 5 10
NB: 3
NBMIN: 3
NX: 1
INMIN: 11
INWIN: 4
INIBL: 8
ISHFTS: 2
IACC22: 0
Relative machine underflow is taken to be 0.222507-307
Relative machine overflow is taken to be 0.179769+309
Relative machine precision is taken to be 0.111022D-15
Routines pass computational tests if test ratio is less than 20.00
DGEESX passed the tests of the error exits ( 7 tests done)
All tests for DSX passed the threshold ( 3508 tests run)
-----------------------------------------------------------------------
End of tests
Total time used = 2.84 seconds
Tests of the Generalized Nonsymmetric Eigenvalue Problem routines
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 0 1 2 3 5 10 16
N: 0 1 2 3 5 10 16
NB: 1 1 2 2
NBMIN: 40 40 2 2
NS: 2 4 2 4
MAXB: 40 40 2 2
IACC22: 1 2 1 2
NBCOL: 40 40 2 2
Relative machine underflow is taken to be 0.222507-307
Relative machine overflow is taken to be 0.179769+309
Relative machine precision is taken to be 0.111022D-15
Routines pass computational tests if test ratio is less than 20.00
DGG routines passed the tests of the error exits ( 36 tests done)
DGG: NB = 1, NBMIN = 40, NS = 2, MAXB = 40, IACC22 = 1, NBCOL = 40
All tests for DGG passed the threshold ( 2184 tests run)
DGG: NB = 1, NBMIN = 40, NS = 4, MAXB = 40, IACC22 = 2, NBCOL = 40
All tests for DGG passed the threshold ( 2184 tests run)
DGG: NB = 2, NBMIN = 2, NS = 2, MAXB = 2, IACC22 = 1, NBCOL = 2
All tests for DGG passed the threshold ( 2184 tests run)
DGG: NB = 2, NBMIN = 2, NS = 4, MAXB = 2, IACC22 = 2, NBCOL = 2
All tests for DGG passed the threshold ( 2184 tests run)
End of tests
Total time used = 0.03 seconds
Tests of the Generalized Nonsymmetric Eigenvalue Problem Driver DGGES
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 2 6 10 12 20
N: 2 6 10 12 20
NB: 1
NBMIN: 1
NX: 1
NS: 2
MAXB: 1
Relative machine underflow is taken to be 0.222507-307
Relative machine overflow is taken to be 0.179769+309
Relative machine precision is taken to be 0.111022D-15
Routines pass computational tests if test ratio is less than 10.00
DGS routines passed the tests of the error exits (108 tests done)
All tests for DGS drivers passed the threshold ( 1560 tests run)
All tests for DGS drivers passed the threshold ( 1560 tests run)
-----------------------------------------------------------------------
Tests of the Generalized Nonsymmetric Eigenvalue Problem Driver DGGEV
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 2 6 8 10 15 20
N: 2 6 8 10 15 20
NB: 1
NBMIN: 1
NX: 1
NS: 2
MAXB: 1
Relative machine underflow is taken to be 0.222507-307
Relative machine overflow is taken to be 0.179769+309
Relative machine precision is taken to be 0.111022D-15
Routines pass computational tests if test ratio is less than 10.00
DGV routines passed the tests of the error exits (108 tests done)
DGV -- Real Generalized eigenvalue problem driver
Matrix types (see DDRGEV for details):
Special Matrices: (J'=transposed Jordan block)
1=(0,0) 2=(I,0) 3=(0,I) 4=(I,I) 5=(J',J') 6=(diag(J',I), diag(I,J'))
Diagonal Matrices: ( D=diag(0,1,2,...) )
7=(D,I) 9=(large*D, small*I) 11=(large*I, small*D) 13=(large*D, large*I)
8=(I,D) 10=(small*D, large*I) 12=(small*I, large*D) 14=(small*D, small*I)
15=(D, reversed D)
Matrices Rotated by Random Orthogonal Matrices U, V:
16=Transposed Jordan Blocks 19=geometric alpha, beta=0,1
17=arithm. alpha&beta 20=arithmetic alpha, beta=0,1
18=clustered alpha, beta=0,1 21=random alpha, beta=0,1
Large & Small Matrices:
22=(large, small) 23=(small,large) 24=(small,small) 25=(large,large)
26=random O(1) matrices.
Tests performed:
1 = max | ( b A - a B )'*l | / const.,
2 = | |VR(i)| - 1 | / ulp,
3 = max | ( b A - a B )*r | / const.
4 = | |VL(i)| - 1 | / ulp,
5 = 0 if W same no matter if r or l computed,
6 = 0 if l same no matter if l computed,
7 = 0 if r same no matter if r computed,
Matrix order= 8, type=20, seed= 538,1366,2691,1133, result 5 is 4.504D+15
Matrix order= 8, type=24, seed=2849,1394, 833,2741, result 5 is 4.504D+15
Matrix order= 8, type=25, seed= 889,2561,1319, 841, result 5 is 4.504D+15
Matrix order= 10, type=10, seed= 6,2013,2924, 937, result 5 is 4.504D+15
Matrix order= 10, type=11, seed=3545,1921,4077,3533, result 5 is 4.504D+15
Matrix order= 10, type=17, seed=1420,1879,1628, 85, result 5 is 4.504D+15
Matrix order= 10, type=24, seed=1210,3887,1474,2237, result 5 is 4.504D+15
Matrix order= 10, type=25, seed= 145,1015, 955,1069, result 5 is 4.504D+15
Matrix order= 10, type=26, seed=3592,3268,3086,1181, result 5 is 4.504D+15
Matrix order= 15, type= 8, seed=1885, 166, 800, 81, result 5 is 4.504D+15
Matrix order= 15, type=17, seed= 529,3615,1764,1221, result 5 is 4.504D+15
Matrix order= 15, type=18, seed=3991, 625,3539,2581, result 5 is 4.504D+15
Matrix order= 15, type=19, seed=2400,1821, 218,1365, result 5 is 4.504D+15
Matrix order= 15, type=20, seed=2155,2073,3686, 149, result 5 is 4.504D+15
Matrix order= 15, type=21, seed=3823,2194,3510,3029, result 5 is 4.504D+15
Matrix order= 15, type=22, seed=2951, 608,1256,3481, result 5 is 4.504D+15
Matrix order= 15, type=23, seed=1243,2927, 263, 357, result 5 is 4.504D+15
Matrix order= 15, type=24, seed=1487,3956,2976,3649, result 5 is 4.504D+15
Matrix order= 15, type=25, seed=2605,2211,3982,2721, result 5 is 4.504D+15
Matrix order= 15, type=26, seed= 8,1600,1726,2817, result 5 is 4.504D+15
Matrix order= 20, type= 8, seed= 624, 693,1681, 9, result 5 is 4.504D+15
Matrix order= 20, type=10, seed= 563,2705, 428, 633, result 5 is 4.504D+15
Matrix order= 20, type=12, seed= 112,1059,2403,2121, result 5 is 4.504D+15
Matrix order= 20, type=13, seed=3448,3524, 410,2697, result 5 is 4.504D+15
Matrix order= 20, type=17, seed= 723,4024,2193,2265, result 5 is 4.504D+15
Matrix order= 20, type=18, seed= 828, 842,1787,3733, result 5 is 4.504D+15
Matrix order= 20, type=19, seed= 252,3327,3300,1389, result 5 is 4.504D+15
Matrix order= 20, type=20, seed=1904,2346,3199,2437, result 5 is 4.504D+15
Matrix order= 20, type=21, seed=4066, 26,1253, 221, result 5 is 4.504D+15
Matrix order= 20, type=22, seed=3234,3664,3237,3473, result 5 is 4.504D+15
Matrix order= 20, type=23, seed= 481, 957,3230,3689, result 5 is 4.504D+15
Matrix order= 20, type=24, seed=2871,2618,1987,2949, result 5 is 4.504D+15
Matrix order= 20, type=25, seed=2604,3233, 644,3529, result 5 is 4.504D+15
Matrix order= 20, type=26, seed=1465,2266,3976,3833, result 5 is 4.504D+15
DGV drivers: 34 out of 1092 tests failed to pass the threshold
DGV -- Real Generalized eigenvalue problem driver
Matrix types (see DDRGEV3 for details):
Special Matrices: (J'=transposed Jordan block)
1=(0,0) 2=(I,0) 3=(0,I) 4=(I,I) 5=(J',J') 6=(diag(J',I), diag(I,J'))
Diagonal Matrices: ( D=diag(0,1,2,...) )
7=(D,I) 9=(large*D, small*I) 11=(large*I, small*D) 13=(large*D, large*I)
8=(I,D) 10=(small*D, large*I) 12=(small*I, large*D) 14=(small*D, small*I)
15=(D, reversed D)
Matrices Rotated by Random Orthogonal Matrices U, V:
16=Transposed Jordan Blocks 19=geometric alpha, beta=0,1
17=arithm. alpha&beta 20=arithmetic alpha, beta=0,1
18=clustered alpha, beta=0,1 21=random alpha, beta=0,1
Large & Small Matrices:
22=(large, small) 23=(small,large) 24=(small,small) 25=(large,large)
26=random O(1) matrices.
Tests performed:
1 = max | ( b A - a B )'*l | / const.,
2 = | |VR(i)| - 1 | / ulp,
3 = max | ( b A - a B )*r | / const.
4 = | |VL(i)| - 1 | / ulp,
5 = 0 if W same no matter if r or l computed,
6 = 0 if l same no matter if l computed,
7 = 0 if r same no matter if r computed,
Matrix order= 6, type=16, seed= 852,1170,4018,2529, result 5 is 4.504D+15
Matrix order= 8, type=20, seed= 202,3818,2830,2373, result 5 is 4.504D+15
Matrix order= 8, type=25, seed= 582,1680, 289,1745, result 5 is 4.504D+15
Matrix order= 10, type= 8, seed= 573,2931,1057, 529, result 5 is 4.504D+15
Matrix order= 10, type=10, seed= 308, 212,3333, 73, result 5 is 4.504D+15
Matrix order= 10, type=13, seed=3036,2372,2403,2421, result 5 is 4.504D+15
Matrix order= 15, type=12, seed=2288,1863,3505, 805, result 5 is 4.504D+15
Matrix order= 15, type=13, seed=3415,2880,2965,2889, result 5 is 4.504D+15
Matrix order= 15, type=16, seed= 681,2778,2914,2225, result 5 is 4.504D+15
Matrix order= 15, type=17, seed= 304,3863, 350,1657, result 5 is 4.504D+15
Matrix order= 15, type=21, seed=2362, 980, 534,3365, result 5 is 4.504D+15
Matrix order= 15, type=25, seed=2888,1855, 900,2225, result 5 is 4.504D+15
Matrix order= 20, type= 8, seed= 636, 119, 47,2269, result 5 is 4.504D+15
Matrix order= 20, type= 9, seed=1007,2268,2913, 29, result 5 is 4.504D+15
Matrix order= 20, type=10, seed= 104,1378,2159,1485, result 5 is 4.504D+15
Matrix order= 20, type=11, seed= 927, 874,3720,2349, result 5 is 4.504D+15
Matrix order= 20, type=14, seed=2659,2147, 552,1661, result 5 is 4.504D+15
Matrix order= 20, type=21, seed=2012,3064,3728,2789, result 5 is 4.504D+15
DGV drivers: 18 out of 1092 tests failed to pass the threshold
-----------------------------------------------------------------------
Tests of the Generalized Nonsymmetric Eigenvalue Problem Expert Driver DGGESX
LAPACK VERSION 3.9.0
The following parameter values will be used:
N: 2
NB: 1
NBMIN: 1
NX: 1
NS: 2
MAXB: 1
Relative machine underflow is taken to be 0.222507-307
Relative machine overflow is taken to be 0.179769+309
Relative machine precision is taken to be 0.111022D-15
Routines pass computational tests if test ratio is less than 10.00
DGX routines passed the tests of the error exits (108 tests done)
All tests for DGX drivers passed the threshold ( 150 tests run)
-----------------------------------------------------------------------
Tests of the Generalized Nonsymmetric Eigenvalue Problem Expert Driver DGGESX
LAPACK VERSION 3.9.0
The following parameter values will be used:
N: 0
NB: 1
NBMIN: 1
NX: 1
NS: 2
MAXB: 1
Relative machine underflow is taken to be 0.222507-307
Relative machine overflow is taken to be 0.179769+309
Relative machine precision is taken to be 0.111022D-15
Routines pass computational tests if test ratio is less than 10.00
DGX routines passed the tests of the error exits (108 tests done)
All tests for DGX drivers passed the threshold ( 20 tests run)
-----------------------------------------------------------------------
Tests of the Generalized Nonsymmetric Eigenvalue Problem Expert Driver DGGEVX
LAPACK VERSION 3.9.0
The following parameter values will be used:
N: 5
NB: 1
NBMIN: 1
NX: 1
NS: 2
MAXB: 1
Relative machine underflow is taken to be 0.222507-307
Relative machine overflow is taken to be 0.179769+309
Relative machine precision is taken to be 0.111022D-15
Routines pass computational tests if test ratio is less than 10.00
DXV routines passed the tests of the error exits (108 tests done)
All tests for DXV drivers passed the threshold ( 5000 tests run)
-----------------------------------------------------------------------
Tests of the Generalized Nonsymmetric Eigenvalue Problem Expert Driver DGGEVX
LAPACK VERSION 3.9.0
The following parameter values will be used:
N: 0
NB: 1
NBMIN: 1
NX: 1
NS: 2
MAXB: 1
Relative machine underflow is taken to be 0.222507-307
Relative machine overflow is taken to be 0.179769+309
Relative machine precision is taken to be 0.111022D-15
Routines pass computational tests if test ratio is less than 10.00
DXV routines passed the tests of the error exits (108 tests done)
All tests for DXV drivers passed the threshold ( 8 tests run)
-----------------------------------------------------------------------
End of tests
Total time used = 3.31 seconds
Tests of DSBTRD
(reduction of a symmetric band matrix to tridiagonal form)
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 5 20
N: 5 20
K: 0 1 2 5 16
Relative machine underflow is taken to be 0.222507-307
Relative machine overflow is taken to be 0.179769+309
Relative machine precision is taken to be 0.111022D-15
Routines pass computational tests if test ratio is less than 20.00
DSB routines passed the tests of the error exits ( 75 tests done)
All tests for DSB passed the threshold ( 810 tests run)
End of tests
Total time used = 0.62 seconds
Tests of the Symmetric Eigenvalue Problem routines
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 0 1 2 3 5 10 16
N: 0 1 2 3 5 10 16
NB: 1 3 20
NBMIN: 2 2 2
NX: 1 1 1
Relative machine underflow is taken to be 0.222507-307
Relative machine overflow is taken to be 0.179769+309
Relative machine precision is taken to be 0.111022D-15
Routines pass computational tests if test ratio is less than 20.00
DSG: NB = 1, NBMIN = 2, NX = 1
All tests for DSG passed the threshold ( 11172 tests run)
DSG: NB = 3, NBMIN = 2, NX = 1
All tests for DSG passed the threshold ( 11172 tests run)
DSG: NB = 20, NBMIN = 2, NX = 1
All tests for DSG passed the threshold ( 11172 tests run)
End of tests
Total time used = 16.29 seconds
Tests of DGBBRD
(reduction of a general band matrix to real bidiagonal form)
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 0 0 0 0 1 1 1 1 2 2
2 2 3 3 3 3 10 10 16 16
N: 0 1 2 3 0 1 2 3 0 1
2 3 0 1 2 3 10 16 10 16
K: 0 1 2 3 16
NS: 1 2
Relative machine underflow is taken to be 0.222507-307
Relative machine overflow is taken to be 0.179769+309
Relative machine precision is taken to be 0.111022D-15
Routines pass computational tests if test ratio is less than 20.00
DBB: NRHS = 1
All tests for DBB passed the threshold ( 3000 tests run)
DBB: NRHS = 2
All tests for DBB passed the threshold ( 3000 tests run)
End of tests
Total time used = 0.01 seconds
Tests of the Generalized Linear Regression Model routines
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 0 5 8 15 20 40
P: 9 0 15 12 15 30
N: 5 5 10 25 30 40
Relative machine underflow is taken to be 0.222507-307
Relative machine overflow is taken to be 0.179769+309
Relative machine precision is taken to be 0.111022D-15
Routines pass computational tests if test ratio is less than 20.00
GLM routines passed the tests of the error exits ( 8 tests done)
All tests for GLM routines passed the threshold ( 48 tests run)
End of tests
Total time used = 0.00 seconds
Tests of the Generalized QR and RQ routines
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 0 3 10
P: 0 5 20
N: 0 3 30
Relative machine underflow is taken to be 0.222507-307
Relative machine overflow is taken to be 0.179769+309
Relative machine precision is taken to be 0.111022D-15
Routines pass computational tests if test ratio is less than 20.00
GQR routines passed the tests of the error exits ( 12 tests done)
GQR: GQR factorization of general matrices
Matrix types:
1: A-diagonal matrix B-upper triangular
2: A-upper triangular B-upper triangular
3: A-lower triangular B-upper triangular
4: Random matrices cond(A)=100, cond(B)=10,
5: Random matrices cond(A)= sqrt( 0.1/EPS ) cond(B)= sqrt( 0.1/EPS )
6: Random matrices cond(A)= 0.1/EPS cond(B)= 0.1/EPS
7: Matrix scaled near underflow limit
8: Matrix scaled near overflow limit
Test ratios:
1: norm( R - Q' * A ) / ( min( N, M )*norm( A )* EPS )
2: norm( T * Z - Q' * B ) / ( min(P,N)*norm(B)* EPS )
3: norm( I - Q'*Q ) / ( N * EPS )
4: norm( I - Z'*Z ) / ( P * EPS )
N= 30 M= 0, P= 5, type 8, test 2, ratio= 555331.
N= 3 M= 0, P= 20, type 8, test 2, ratio= 0.889025E+07
N= 30 M= 0, P= 20, type 8, test 2, ratio= 0.219820E+07
M= 3 P= 0, N= 30, type 7, test 1, ratio= 0.800042E+07
N= 30 M= 3, P= 0, type 7, test 1, ratio= 0.772279E+07
M= 3 P= 5, N= 30, type 7, test 1, ratio= 0.852669E+07
N= 30 M= 3, P= 5, type 8, test 2, ratio= 0.119398E+07
N= 3 M= 3, P= 20, type 8, test 2, ratio= 0.998240E+07
N= 30 M= 3, P= 20, type 8, test 2, ratio= 976876.
N= 3 M= 10, P= 5, type 8, test 2, ratio= 0.121475E+08
N= 30 M= 10, P= 5, type 7, test 1, ratio= 0.127652E+08
N= 30 M= 10, P= 5, type 8, test 2, ratio= 714258.
M= 10 P= 20, N= 30, type 7, test 1, ratio= 0.510405E+07
N= 30 M= 10, P= 20, type 8, test 2, ratio= 0.208493E+07
GQR: 14 out of 1728 tests failed to pass the threshold
End of tests
Total time used = 0.01 seconds
Tests of the Generalized Singular Value Decomposition routines
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 0 5 9 10 20 12 12 40
P: 4 0 12 14 10 10 20 15
N: 3 10 15 12 8 20 8 20
Relative machine underflow is taken to be 0.222507-307
Relative machine overflow is taken to be 0.179769+309
Relative machine precision is taken to be 0.111022D-15
Routines pass computational tests if test ratio is less than 20.00
GSV routines passed the tests of the error exits ( 33 tests done)
All tests for GSV routines passed the threshold ( 384 tests run)
End of tests
Total time used = 0.01 seconds
Tests of the CS Decomposition routines
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 0 10 10 10 10 21 24 30 22 32
P: 0 4 4 0 10 9 10 20 12 12
N: 0 0 10 4 4 15 12 8 20 8
Relative machine underflow is taken to be 0.222507-307
Relative machine overflow is taken to be 0.179769+309
Relative machine precision is taken to be 0.111022D-15
Routines pass computational tests if test ratio is less than 30.00
CSD routines passed the tests of the error exits ( 8 tests done)
All tests for CSD routines passed the threshold ( 600 tests run)
End of tests
Total time used = 0.00 seconds
Tests of the Linear Least Squares routines
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 6 0 5 8 10 30
P: 0 5 5 5 8 20
N: 5 5 6 8 12 40
Relative machine underflow is taken to be 0.222507-307
Relative machine overflow is taken to be 0.179769+309
Relative machine precision is taken to be 0.111022D-15
Routines pass computational tests if test ratio is less than 20.00
LSE routines passed the tests of the error exits ( 8 tests done)
All tests for LSE routines passed the threshold ( 96 tests run)
End of tests
Total time used = 0.03 seconds
Tests of the DOUBLE PRECISION LAPACK routines
LAPACK VERSION 3.9.0
The following parameter values will be used:
M : 0 1 2 3 5 10 50
N : 0 1 2 3 5 10 50
NRHS: 1 2 15
NB : 1 3 3 3 20
NX : 1 0 5 9 1
RANK: 30 50 90
Routines pass computational tests if test ratio is less than 30.00
Relative machine underflow is taken to be 0.222507-307
Relative machine overflow is taken to be 0.179769+309
Relative machine precision is taken to be 0.111022D-15
DGE routines passed the tests of the error exits
All tests for DGE routines passed the threshold ( 3653 tests run)
DGE drivers passed the tests of the error exits
All tests for DGE drivers passed the threshold ( 5748 tests run)
DGB routines passed the tests of the error exits
All tests for DGB routines passed the threshold ( 28938 tests run)
DGB drivers passed the tests of the error exits
All tests for DGB drivers passed the threshold ( 36567 tests run)
DGT routines passed the tests of the error exits
All tests for DGT routines passed the threshold ( 2694 tests run)
DGT drivers passed the tests of the error exits
All tests for DGT drivers passed the threshold ( 2033 tests run)
DPO routines passed the tests of the error exits
All tests for DPO routines passed the threshold ( 1628 tests run)
DPO drivers passed the tests of the error exits
All tests for DPO drivers passed the threshold ( 1910 tests run)
DPS routines passed the tests of the error exits
All tests for DPS routines passed the threshold ( 150 tests run)
DPP routines passed the tests of the error exits
All tests for DPP routines passed the threshold ( 1332 tests run)
DPP drivers passed the tests of the error exits
All tests for DPP drivers passed the threshold ( 1910 tests run)
DPB routines passed the tests of the error exits
All tests for DPB routines passed the threshold ( 3458 tests run)
DPB drivers passed the tests of the error exits
All tests for DPB drivers passed the threshold ( 4750 tests run)
DPT routines passed the tests of the error exits
All tests for DPT routines passed the threshold ( 953 tests run)
DPT drivers passed the tests of the error exits
All tests for DPT drivers passed the threshold ( 788 tests run)
DSY routines passed the tests of the error exits
All tests for DSY routines passed the threshold ( 1846 tests run)
DSY drivers passed the tests of the error exits
All tests for DSY drivers passed the threshold ( 1072 tests run)
DSR routines passed the tests of the error exits
All tests for DSR routines passed the threshold ( 1618 tests run)
DSR drivers passed the tests of the error exits
All tests for DSR drivers passed the threshold ( 222 tests run)
DSK routines passed the tests of the error exits
All tests for DSK routines passed the threshold ( 1618 tests run)
DSK drivers passed the tests of the error exits
All tests for DSK drivers passed the threshold ( 222 tests run)
DSA routines passed the tests of the error exits
All tests for DSA routines passed the threshold ( 1320 tests run)
DSA drivers passed the tests of the error exits
All tests for DSA drivers passed the threshold ( 148 tests run)
DS2 routines passed the tests of the error exits
All tests for DS2 routines passed the threshold ( 666 tests run)
DS2 drivers passed the tests of the error exits
All tests for DS2 drivers passed the threshold ( 74 tests run)
DSP routines passed the tests of the error exits
All tests for DSP routines passed the threshold ( 1404 tests run)
DSP drivers passed the tests of the error exits
All tests for DSP drivers passed the threshold ( 1072 tests run)
DTR routines passed the tests of the error exits
All tests for DTR routines passed the threshold ( 7672 tests run)
DTP routines passed the tests of the error exits
All tests for DTP routines passed the threshold ( 7392 tests run)
DTB routines passed the tests of the error exits
All tests for DTB routines passed the threshold ( 19888 tests run)
DQR routines passed the tests of the error exits
All tests for DQR routines passed the threshold ( 42840 tests run)
DRQ routines passed the tests of the error exits
All tests for DRQ routines passed the threshold ( 28784 tests run)
DLQ routines passed the tests of the error exits
All tests for DLQ routines passed the threshold ( 28784 tests run)
DQL routines passed the tests of the error exits
All tests for DQL routines passed the threshold ( 28784 tests run)
All tests for DQ3 routines passed the threshold ( 4410 tests run)
DTZ routines passed the tests of the error exits
All tests for DTZ routines passed the threshold ( 252 tests run)
DLS routines passed the tests of the error exits
All tests for DLS drivers passed the threshold ( 105840 tests run)
All tests for DEQ routines passed the threshold
DQT routines passed the tests of the error exits
All tests for DQT routines passed the threshold ( 510 tests run)
DQX routines passed the tests of the error exits
All tests for DQX routines passed the threshold ( 1482 tests run)
DXQ routines passed the tests of the error exits
All tests for DXQ routines passed the threshold ( 1482 tests run)
DTQ routines passed the tests of the error exits
All tests for DTQ routines passed the threshold ( 510 tests run)
DTS routines passed the tests of the error exits
All tests for DTS routines passed the threshold ( 10800 tests run)
DHH routines passed the tests of the error exits
All tests for DHH routines passed the threshold ( 15900 tests run)
End of tests
Total time used = 32.13 seconds
Tests of the DOUBLE PRECISION LAPACK DSGESV/DSPOSV routines
LAPACK VERSION 3.9.0
The following parameter values will be used:
M : 0 1 2 13 17 45 78 91 101 120
132
NRHS: 1 2 15 16
Routines pass computational tests if test ratio is less than 30.00
Relative machine (single precision) underflow is taken to be 0.117549D-37
Relative machine (single precision) overflow is taken to be 0.340282D+39
Relative machine (single precision) precision is taken to be 0.596046D-07
Relative machine (double precision) underflow is taken to be 0.222507-307
Relative machine (double precision) overflow is taken to be 0.179769+309
Relative machine (double precision) precision is taken to be 0.111022D-15
DSGESV drivers passed the tests of the error exits
All tests for DSGESV routines passed the threshold ( 324 tests run)
DSPOSV drivers passed the tests of the error exits
All tests for DSPOSV routines passed the threshold ( 488 tests run)
End of tests
Total time used = 2.74 seconds
Tests of the DOUBLE PRECISION LAPACK RFP routines
LAPACK VERSION 3.9.0
The following parameter values will be used:
N : 0 1 2 3 5 6 10 11 50
NRHS: 1 2 15
TYPE: 1 2 3 4 5 6 7 8 9
Routines pass computational tests if test ratio is less than 30.00
Relative machine underflow is taken to be 0.222507-307
Relative machine overflow is taken to be 0.179769+309
Relative machine precision is taken to be 0.111022D-15
DOUBLE PRECISION RFP routines passed the tests of the error exits
All tests for DPF drivers passed the threshold ( 2304 tests run)
All tests for DLANSF auxiliary routine passed the threshold ( 384 tests run)
All tests for the RFP conversion routines passed ( 72 tests run)
All tests for DTFSM auxiliary routine passed the threshold ( 7776 tests run)
All tests for DSFRK auxiliary routine passed the threshold ( 2592 tests run)
End of tests
Total time used = 1.27 seconds
Tests of the Nonsymmetric Eigenvalue Problem routines
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 0 1 2 3 5 10 16
N: 0 1 2 3 5 10 16
NB: 1 3 3 3 20
NBMIN: 2 2 2 2 2
NX: 1 0 5 9 1
INMIN: 11 12 11 15 11
INWIN: 2 3 5 3 2
INIBL: 0 5 7 3 200
ISHFTS: 1 2 4 2 1
IACC22: 0 1 2 0 1
Relative machine underflow is taken to be 0.117549E-37
Relative machine overflow is taken to be 0.340282E+39
Relative machine precision is taken to be 0.596046E-07
Routines pass computational tests if test ratio is less than 20.00
CHS routines passed the tests of the error exits ( 66 tests done)
NEP: NB = 1, NBMIN = 2, NX = 1, INMIN= 11, INWIN = 2, INIBL = 0, ISHFTS = 1, IACC22 = 0
All tests for CHS passed the threshold ( 1764 tests run)
NEP: NB = 3, NBMIN = 2, NX = 0, INMIN= 12, INWIN = 3, INIBL = 5, ISHFTS = 2, IACC22 = 1
All tests for CHS passed the threshold ( 1764 tests run)
NEP: NB = 3, NBMIN = 2, NX = 5, INMIN= 11, INWIN = 5, INIBL = 7, ISHFTS = 4, IACC22 = 2
All tests for CHS passed the threshold ( 1764 tests run)
NEP: NB = 3, NBMIN = 2, NX = 9, INMIN= 15, INWIN = 3, INIBL = 3, ISHFTS = 2, IACC22 = 0
All tests for CHS passed the threshold ( 1764 tests run)
NEP: NB = 20, NBMIN = 2, NX = 1, INMIN= 11, INWIN = 2, INIBL = 200, ISHFTS = 1, IACC22 = 1
All tests for CHS passed the threshold ( 1764 tests run)
End of tests
Total time used = 0.07 seconds
Tests of the Hermitian Eigenvalue Problem routines
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 0 1 2 3 5 20
N: 0 1 2 3 5 20
NB: 1 3 3 3 10
NBMIN: 2 2 2 2 2
NX: 1 0 5 9 1
Relative machine underflow is taken to be 0.117549E-37
Relative machine overflow is taken to be 0.340282E+39
Relative machine precision is taken to be 0.596046E-07
Routines pass computational tests if test ratio is less than 50.00
CST routines passed the tests of the error exits (176 tests done)
SEP: NB = 1, NBMIN = 2, NX = 1
All tests for CST passed the threshold ( 4440 tests run)
All tests for CST drivers passed the threshold ( 11016 tests run)
SEP: NB = 3, NBMIN = 2, NX = 0
All tests for CST passed the threshold ( 4440 tests run)
All tests for CST drivers passed the threshold ( 11016 tests run)
SEP: NB = 3, NBMIN = 2, NX = 5
All tests for CST passed the threshold ( 4440 tests run)
All tests for CST drivers passed the threshold ( 11016 tests run)
SEP: NB = 3, NBMIN = 2, NX = 9
All tests for CST passed the threshold ( 4440 tests run)
All tests for CST drivers passed the threshold ( 11016 tests run)
SEP: NB = 10, NBMIN = 2, NX = 1
All tests for CST passed the threshold ( 4440 tests run)
All tests for CST drivers passed the threshold ( 11016 tests run)
routines were not tested
End of tests
Total time used = 10.00 seconds
Tests of the Hermitian Eigenvalue Problem routines
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 0 1 2 3 5 20
N: 0 1 2 3 5 20
NB: 1 3 3 3 10
NBMIN: 2 2 2 2 2
NX: 1 0 5 9 1
Relative machine underflow is taken to be 0.117549E-37
Relative machine overflow is taken to be 0.340282E+39
Relative machine precision is taken to be 0.596046E-07
Routines pass computational tests if test ratio is less than 50.00
CST routines passed the tests of the error exits (176 tests done)
SE2: NB = 1, NBMIN = 2, NX = 1
All tests for CST passed the threshold ( 4440 tests run)
All tests for CST drivers passed the threshold ( 11016 tests run)
SE2: NB = 3, NBMIN = 2, NX = 0
All tests for CST passed the threshold ( 4440 tests run)
All tests for CST drivers passed the threshold ( 11016 tests run)
SE2: NB = 3, NBMIN = 2, NX = 5
All tests for CST passed the threshold ( 4440 tests run)
All tests for CST drivers passed the threshold ( 11016 tests run)
SE2: NB = 3, NBMIN = 2, NX = 9
All tests for CST passed the threshold ( 4440 tests run)
All tests for CST drivers passed the threshold ( 11016 tests run)
SE2: NB = 10, NBMIN = 2, NX = 1
All tests for CST passed the threshold ( 4440 tests run)
All tests for CST drivers passed the threshold ( 11016 tests run)
routines were not tested
End of tests
Total time used = 20.50 seconds
Tests of the Singular Value Decomposition routines
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 0 0 0 1 1 1 2 2 3 3
3 10 10 16 16 30 30 40 40
N: 0 1 3 0 1 2 0 1 0 1
3 10 16 10 16 30 40 30 40
NB: 1 3 3 3 20
NBMIN: 2 2 2 2 2
NX: 1 0 5 9 1
NS: 2 0 2 2 2
Relative machine underflow is taken to be 0.117549E-37
Relative machine overflow is taken to be 0.340282E+39
Relative machine precision is taken to be 0.596046E-07
Routines pass computational tests if test ratio is less than 50.00
CBD routines passed the tests of the error exits ( 35 tests done)
CGESVD passed the tests of the error exits ( 8 tests done)
CGESDD passed the tests of the error exits ( 6 tests done)
CGEJSV passed the tests of the error exits ( 11 tests done)
CGESVDX passed the tests of the error exits ( 12 tests done)
CGESVDQ passed the tests of the error exits ( 11 tests done)
SVD: NB = 1, NBMIN = 2, NX = 1, NRHS = 2
All tests for CBD routines passed the threshold ( 4085 tests run)
All tests for CBD drivers passed the threshold ( 14340 tests run)
SVD: NB = 3, NBMIN = 2, NX = 0, NRHS = 0
All tests for CBD routines passed the threshold ( 4085 tests run)
All tests for CBD drivers passed the threshold ( 14340 tests run)
SVD: NB = 3, NBMIN = 2, NX = 5, NRHS = 2
All tests for CBD routines passed the threshold ( 4085 tests run)
All tests for CBD drivers passed the threshold ( 14340 tests run)
SVD: NB = 3, NBMIN = 2, NX = 9, NRHS = 2
All tests for CBD routines passed the threshold ( 4085 tests run)
All tests for CBD drivers passed the threshold ( 14340 tests run)
SVD: NB = 20, NBMIN = 2, NX = 1, NRHS = 2
All tests for CBD routines passed the threshold ( 4085 tests run)
All tests for CBD drivers passed the threshold ( 14340 tests run)
End of tests
Total time used = 6.72 seconds
Tests of the Nonsymmetric eigenproblem condition estimation routines
CTRSYL, CTREXC, CTRSNA, CTRSEN
Relative machine precision (EPS) = 0.119209E-06
Safe minimum (SFMIN) = 0.117549E-37
Routines pass computational tests if test ratio is less than 20.00
CEC routines passed the tests of the error exits ( 33 tests done)
All tests for CEC routines passed the threshold ( 5966 tests run)
End of tests
Total time used = 0.01 seconds
Tests of the Nonsymmetric Eigenvalue Problem Driver
CGEES (Schur form)
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 0 1 2 3 5 10 20
N: 0 1 2 3 5 10 20
NB: 3
NBMIN: 3
NX: 1
INMIN: 11
INWIN: 4
INIBL: 8
ISHFTS: 2
IACC22: 0
Relative machine underflow is taken to be 0.117549E-37
Relative machine overflow is taken to be 0.340282E+39
Relative machine precision is taken to be 0.596046E-07
Routines pass computational tests if test ratio is less than 20.00
CGEES passed the tests of the error exits ( 6 tests done)
All tests for CES passed the threshold ( 3822 tests run)
-----------------------------------------------------------------------
Tests of the Nonsymmetric Eigenvalue Problem Driver
CGEEV (eigenvalues and eigevectors)
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 0 1 2 3 5 10 20
N: 0 1 2 3 5 10 20
NB: 3
NBMIN: 3
NX: 1
INMIN: 11
INWIN: 4
INIBL: 8
ISHFTS: 2
IACC22: 0
Relative machine underflow is taken to be 0.117549E-37
Relative machine overflow is taken to be 0.340282E+39
Relative machine precision is taken to be 0.596046E-07
Routines pass computational tests if test ratio is less than 20.00
CGEEV passed the tests of the error exits ( 7 tests done)
All tests for CEV passed the threshold ( 1092 tests run)
-----------------------------------------------------------------------
Tests of the Nonsymmetric Eigenvalue Problem Expert Driver
CGEESX (Schur form and condition numbers)
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 0 1 2 3 5 10 20
N: 0 1 2 3 5 10 20
NB: 3
NBMIN: 3
NX: 1
INMIN: 11
INWIN: 4
INIBL: 8
ISHFTS: 2
IACC22: 0
Relative machine underflow is taken to be 0.117549E-37
Relative machine overflow is taken to be 0.340282E+39
Relative machine precision is taken to be 0.596046E-07
Routines pass computational tests if test ratio is less than 20.00
CGEESX passed the tests of the error exits ( 7 tests done)
All tests for CSX passed the threshold ( 3994 tests run)
-----------------------------------------------------------------------
Tests of the Nonsymmetric Eigenvalue Problem Expert Driver
CGEEVX (eigenvalues, eigenvectors and condition numbers)
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 0 1 2 3 5 10
N: 0 1 2 3 5 10
NB: 3
NBMIN: 3
NX: 1
INMIN: 11
INWIN: 4
INIBL: 8
ISHFTS: 2
IACC22: 0
Relative machine underflow is taken to be 0.117549E-37
Relative machine overflow is taken to be 0.340282E+39
Relative machine precision is taken to be 0.596046E-07
Routines pass computational tests if test ratio is less than 20.00
CGEEVX passed the tests of the error exits ( 10 tests done)
All tests for CVX passed the threshold ( 5172 tests run)
-----------------------------------------------------------------------
End of tests
Total time used = 0.22 seconds
Tests of the Generalized Nonsymmetric Eigenvalue Problem routines
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 0 1 2 3 5 10 16
N: 0 1 2 3 5 10 16
NB: 1 1 2 2
NBMIN: 40 40 2 2
NS: 2 4 2 4
MAXB: 40 40 2 2
IACC22: 1 2 1 2
NBCOL: 40 40 2 2
Relative machine underflow is taken to be 0.117549E-37
Relative machine overflow is taken to be 0.340282E+39
Relative machine precision is taken to be 0.596046E-07
Routines pass computational tests if test ratio is less than 20.00
CGG routines passed the tests of the error exits ( 36 tests done)
CGG: NB = 1, NBMIN = 40, NS = 2, MAXB = 40, IACC22 = 1, NBCOL = 40
All tests for CGG passed the threshold ( 2184 tests run)
CGG: NB = 1, NBMIN = 40, NS = 4, MAXB = 40, IACC22 = 2, NBCOL = 40
All tests for CGG passed the threshold ( 2184 tests run)
CGG: NB = 2, NBMIN = 2, NS = 2, MAXB = 2, IACC22 = 1, NBCOL = 2
All tests for CGG passed the threshold ( 2184 tests run)
CGG: NB = 2, NBMIN = 2, NS = 4, MAXB = 2, IACC22 = 2, NBCOL = 2
All tests for CGG passed the threshold ( 2184 tests run)
End of tests
Total time used = 0.04 seconds
Tests of the Generalized Nonsymmetric Eigenvalue Problem Driver CGGEV
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 2 6 8 10 12 20
N: 2 6 8 10 12 20
NB: 1
NBMIN: 1
NX: 1
NS: 2
MAXB: 1
Relative machine underflow is taken to be 0.117549E-37
Relative machine overflow is taken to be 0.340282E+39
Relative machine precision is taken to be 0.596046E-07
Routines pass computational tests if test ratio is less than 10.00
CGV routines passed the tests of the error exits (106 tests done)
CGV -- Complex Generalized eigenvalue problem driver
Matrix types (see CDRGEV for details):
Special Matrices: (J'=transposed Jordan block)
1=(0,0) 2=(I,0) 3=(0,I) 4=(I,I) 5=(J',J') 6=(diag(J',I), diag(I,J'))
Diagonal Matrices: ( D=diag(0,1,2,...) )
7=(D,I) 9=(large*D, small*I) 11=(large*I, small*D) 13=(large*D, large*I)
8=(I,D) 10=(small*D, large*I) 12=(small*I, large*D) 14=(small*D, small*I)
15=(D, reversed D)
Matrices Rotated by Random Orthogonal Matrices U, V:
16=Transposed Jordan Blocks 19=geometric alpha, beta=0,1
17=arithm. alpha&beta 20=arithmetic alpha, beta=0,1
18=clustered alpha, beta=0,1 21=random alpha, beta=0,1
Large & Small Matrices:
22=(large, small) 23=(small,large) 24=(small,small) 25=(large,large)
26=random O(1) matrices.
Tests performed:
1 = max | ( b A - a B )'*l | / const.,
2 = | |VR(i)| - 1 | / ulp,
3 = max | ( b A - a B )*r | / const.
4 = | |VL(i)| - 1 | / ulp,
5 = 0 if W same no matter if r or l computed,
6 = 0 if l same no matter if l computed,
7 = 0 if r same no matter if r computed,
Matrix order= 20, type=16, seed= 647,2328,1944, 557, result 5 is 8.389E+06
CGV drivers: 1 out of 1092 tests failed to pass the threshold
All tests for CGV drivers passed the threshold ( 1092 tests run)
-----------------------------------------------------------------------
Tests of the Generalized Nonsymmetric Eigenvalue Problem Driver CGGES
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 2 6 10 12 20
N: 2 6 10 12 20
NB: 1
NBMIN: 1
NX: 1
NS: 2
MAXB: 1
Relative machine underflow is taken to be 0.117549E-37
Relative machine overflow is taken to be 0.340282E+39
Relative machine precision is taken to be 0.596046E-07
Routines pass computational tests if test ratio is less than 10.00
CGS routines passed the tests of the error exits (106 tests done)
All tests for CGS drivers passed the threshold ( 1560 tests run)
All tests for CGS drivers passed the threshold ( 1560 tests run)
-----------------------------------------------------------------------
Tests of the Generalized Nonsymmetric Eigenvalue Problem Expert Driver CGGESX
LAPACK VERSION 3.9.0
The following parameter values will be used:
N: 2
NB: 1
NBMIN: 1
NX: 1
NS: 2
MAXB: 1
Relative machine underflow is taken to be 0.117549E-37
Relative machine overflow is taken to be 0.340282E+39
Relative machine precision is taken to be 0.596046E-07
Routines pass computational tests if test ratio is less than 10.00
CGX routines passed the tests of the error exits (106 tests done)
All tests for CGX drivers passed the threshold ( 150 tests run)
-----------------------------------------------------------------------
Tests of the Generalized Nonsymmetric Eigenvalue Problem Expert Driver CGGEVX
LAPACK VERSION 3.9.0
The following parameter values will be used:
N: 6
NB: 1
NBMIN: 1
NX: 1
NS: 2
MAXB: 1
Relative machine underflow is taken to be 0.117549E-37
Relative machine overflow is taken to be 0.340282E+39
Relative machine precision is taken to be 0.596046E-07
Routines pass computational tests if test ratio is less than 10.00
CXV routines passed the tests of the error exits (106 tests done)
All tests for CXV drivers passed the threshold ( 5000 tests run)
-----------------------------------------------------------------------
Tests of the Generalized Nonsymmetric Eigenvalue Problem Expert Driver CGGESX
LAPACK VERSION 3.9.0
The following parameter values will be used:
N: 0
NB: 1
NBMIN: 1
NX: 1
NS: 2
MAXB: 1
Relative machine underflow is taken to be 0.117549E-37
Relative machine overflow is taken to be 0.340282E+39
Relative machine precision is taken to be 0.596046E-07
Routines pass computational tests if test ratio is less than 10.00
CGX routines passed the tests of the error exits (106 tests done)
All tests for CGX drivers passed the threshold ( 20 tests run)
-----------------------------------------------------------------------
Tests of the Generalized Nonsymmetric Eigenvalue Problem Expert Driver CGGEVX
LAPACK VERSION 3.9.0
The following parameter values will be used:
N: 0
NB: 1
NBMIN: 1
NX: 1
NS: 2
MAXB: 1
Relative machine underflow is taken to be 0.117549E-37
Relative machine overflow is taken to be 0.340282E+39
Relative machine precision is taken to be 0.596046E-07
Routines pass computational tests if test ratio is less than 10.00
CXV routines passed the tests of the error exits (106 tests done)
All tests for CXV drivers passed the threshold ( 8 tests run)
-----------------------------------------------------------------------
End of tests
Total time used = 2.27 seconds
Tests of CHBTRD
(reduction of a Hermitian band matrix to real tridiagonal form)
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 5 20
N: 5 20
K: 0 1 2 5 16
Relative machine underflow is taken to be 0.117549E-37
Relative machine overflow is taken to be 0.340282E+39
Relative machine precision is taken to be 0.596046E-07
Routines pass computational tests if test ratio is less than 20.00
CHB routines passed the tests of the error exits ( 80 tests done)
All tests for CHB passed the threshold ( 810 tests run)
End of tests
Total time used = 0.87 seconds
Tests of the Hermitian Eigenvalue Problem routines
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 0 1 2 3 5 10 16
N: 0 1 2 3 5 10 16
NB: 1 3 20
NBMIN: 2 2 2
NX: 1 1 1
Relative machine underflow is taken to be 0.117549E-37
Relative machine overflow is taken to be 0.340282E+39
Relative machine precision is taken to be 0.596046E-07
Routines pass computational tests if test ratio is less than 20.00
CSG: NB = 1, NBMIN = 2, NX = 1
All tests for CSG passed the threshold ( 11172 tests run)
CSG: NB = 3, NBMIN = 2, NX = 1
All tests for CSG passed the threshold ( 11172 tests run)
CSG: NB = 20, NBMIN = 2, NX = 1
All tests for CSG passed the threshold ( 11172 tests run)
End of tests
Total time used = 19.85 seconds
Tests of CGBBRD
(reduction of a general band matrix to real bidiagonal form)
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 0 0 0 0 1 1 1 1 2 2
2 2 3 3 3 3 10 10 16 16
N: 0 1 2 3 0 1 2 3 0 1
2 3 0 1 2 3 10 16 10 16
K: 0 1 2 3 16
NS: 1 2
Relative machine underflow is taken to be 0.117549E-37
Relative machine overflow is taken to be 0.340282E+39
Relative machine precision is taken to be 0.596046E-07
Routines pass computational tests if test ratio is less than 20.00
CBB: NRHS = 1
All tests for CBB passed the threshold ( 3000 tests run)
CBB: NRHS = 2
All tests for CBB passed the threshold ( 3000 tests run)
End of tests
Total time used = 0.02 seconds
Tests of the Generalized Linear Regression Model routines
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 0 5 8 15 20 40
P: 9 0 15 12 15 30
N: 5 5 10 25 30 40
Relative machine underflow is taken to be 0.117549E-37
Relative machine overflow is taken to be 0.340282E+39
Relative machine precision is taken to be 0.596046E-07
Routines pass computational tests if test ratio is less than 20.00
GLM routines passed the tests of the error exits ( 8 tests done)
All tests for GLM routines passed the threshold ( 48 tests run)
End of tests
Total time used = 0.00 seconds
Tests of the Generalized QR and RQ routines
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 0 3 10
P: 0 5 20
N: 0 3 30
Relative machine underflow is taken to be 0.117549E-37
Relative machine overflow is taken to be 0.340282E+39
Relative machine precision is taken to be 0.596046E-07
Routines pass computational tests if test ratio is less than 20.00
GQR routines passed the tests of the error exits ( 12 tests done)
All tests for GQR routines passed the threshold ( 1728 tests run)
End of tests
Total time used = 0.01 seconds
Tests of the Generalized Singular Value Decomposition routines
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 0 5 9 10 20 12 12 40
P: 4 0 12 14 10 10 20 15
N: 3 10 15 12 8 20 8 20
Relative machine underflow is taken to be 0.117549E-37
Relative machine overflow is taken to be 0.340282E+39
Relative machine precision is taken to be 0.596046E-07
Routines pass computational tests if test ratio is less than 20.00
GSV routines passed the tests of the error exits ( 33 tests done)
All tests for GSV routines passed the threshold ( 385 tests run)
End of tests
Total time used = 0.01 seconds
Tests of the CS Decomposition routines
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 0 10 10 10 10 21 24 30 22 32
P: 0 4 4 0 10 9 10 20 12 12
N: 0 0 10 4 4 15 12 8 20 8
Relative machine underflow is taken to be 0.117549E-37
Relative machine overflow is taken to be 0.340282E+39
Relative machine precision is taken to be 0.596046E-07
Routines pass computational tests if test ratio is less than 30.00
CSD routines passed the tests of the error exits ( 8 tests done)
All tests for CSD routines passed the threshold ( 600 tests run)
End of tests
Total time used = 0.00 seconds
Tests of the Linear Least Squares routines
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 6 0 5 8 10 30
P: 0 5 5 5 8 20
N: 5 5 6 8 12 40
Relative machine underflow is taken to be 0.117549E-37
Relative machine overflow is taken to be 0.340282E+39
Relative machine precision is taken to be 0.596046E-07
Routines pass computational tests if test ratio is less than 20.00
LSE routines passed the tests of the error exits ( 8 tests done)
All tests for LSE routines passed the threshold ( 96 tests run)
End of tests
Total time used = 0.00 seconds
Tests of the COMPLEX LAPACK routines
LAPACK VERSION 3.9.0
The following parameter values will be used:
M : 0 1 2 3 5 10 50
N : 0 1 2 3 5 10 50
NRHS: 1 2 15
NB : 1 3 3 3 20
NX : 1 0 5 9 1
RANK: 30 50 90
Routines pass computational tests if test ratio is less than 30.00
Relative machine underflow is taken to be 0.117549E-37
Relative machine overflow is taken to be 0.340282E+39
Relative machine precision is taken to be 0.596046E-07
CGE routines passed the tests of the error exits
All tests for CGE routines passed the threshold ( 3653 tests run)
CGE drivers passed the tests of the error exits
All tests for CGE drivers passed the threshold ( 5748 tests run)
CGB routines passed the tests of the error exits
All tests for CGB routines passed the threshold ( 28938 tests run)
CGB drivers passed the tests of the error exits
All tests for CGB drivers passed the threshold ( 36567 tests run)
CGT routines passed the tests of the error exits
All tests for CGT routines passed the threshold ( 2694 tests run)
CGT drivers passed the tests of the error exits
All tests for CGT drivers passed the threshold ( 2033 tests run)
CPO routines passed the tests of the error exits
All tests for CPO routines passed the threshold ( 1628 tests run)
CPO drivers passed the tests of the error exits
All tests for CPO drivers passed the threshold ( 1910 tests run)
CPS routines passed the tests of the error exits
All tests for CPS routines passed the threshold ( 150 tests run)
CPP routines passed the tests of the error exits
All tests for CPP routines passed the threshold ( 1332 tests run)
CPP drivers passed the tests of the error exits
All tests for CPP drivers passed the threshold ( 1910 tests run)
CPB routines passed the tests of the error exits
All tests for CPB routines passed the threshold ( 3458 tests run)
CPB drivers passed the tests of the error exits
All tests for CPB drivers passed the threshold ( 4750 tests run)
CPT routines passed the tests of the error exits
All tests for CPT routines passed the threshold ( 1778 tests run)
CPT drivers passed the tests of the error exits
All tests for CPT drivers passed the threshold ( 788 tests run)
CHE routines passed the tests of the error exits
CHE: Hermitian indefinite matrices, partial (Bunch-Kaufman) pivoting
Matrix types:
1. Diagonal 6. Last n/2 rows and columns zero
2. Random, CNDNUM = 2 7. Random, CNDNUM = sqrt(0.1/EPS)
3. First row and column zero 8. Random, CNDNUM = 0.1/EPS
4. Last row and column zero 9. Scaled near underflow
5. Middle row and column zero 10. Scaled near overflow
Test ratios:
1: norm( U*D*U' - A ) / ( N * norm(A) * EPS ), or
norm( L*D*L' - A ) / ( N * norm(A) * EPS )
2: norm( I - A*AINV ) / ( N * norm(A) * norm(AINV) * EPS )
3: norm( B - A * X ) / ( norm(A) * norm(X) * EPS )
4: norm( B - A * X ) / ( norm(A) * norm(X) * EPS )
5: norm( X - XACT ) / ( norm(XACT) * CNDNUM * EPS )
6: norm( X - XACT ) / ( norm(XACT) * CNDNUM * EPS ), refined
7: (backward error) / EPS
8: norm( X - XACT ) / ( norm(XACT) * (error bound) )
9: RCOND * CNDNUM - 1.0
Messages:
UPLO = 'U', N = 3, NB = 1, type 10, test 1, ratio = 0.15991E+07
UPLO = 'U', N = 3, NB = 3, type 10, test 1, ratio = 0.15991E+07
UPLO = 'U', N = 3, NB = 20, type 10, test 1, ratio = 0.15991E+07
UPLO = 'U', N = 5, NB = 1, type 2, test 1, ratio = 0.39580E+07
UPLO = 'U', N = 5, NB = 3, type 2, test 1, ratio = 0.39580E+07
UPLO = 'U', N = 5, NB = 20, type 2, test 1, ratio = 0.39580E+07
UPLO = 'U', N = 5, NB = 1, type 3, test 1, ratio = 0.10894E+07
UPLO = 'U', N = 5, NB = 3, type 3, test 1, ratio = 0.10894E+07
UPLO = 'U', N = 5, NB = 20, type 3, test 1, ratio = 0.10894E+07
UPLO = 'U', N = 5, NB = 1, type 4, test 1, ratio = 0.22807E+07
UPLO = 'U', N = 5, NB = 3, type 4, test 1, ratio = 0.22807E+07
UPLO = 'U', N = 5, NB = 20, type 4, test 1, ratio = 0.22807E+07
UPLO = 'U', N = 5, NB = 1, type 5, test 1, ratio = 0.83523E+06
UPLO = 'U', N = 5, NB = 3, type 5, test 1, ratio = 0.83523E+06
UPLO = 'U', N = 5, NB = 20, type 5, test 1, ratio = 0.83523E+06
UPLO = 'U', N = 5, NB = 1, type 9, test 1, ratio = 0.14683E+07
UPLO = 'U', N = 5, NB = 3, type 9, test 1, ratio = 0.14683E+07
UPLO = 'U', N = 5, NB = 20, type 9, test 1, ratio = 0.14683E+07
UPLO = 'U', N = 5, NB = 1, type 10, test 1, ratio = 0.28914E+06
UPLO = 'U', N = 5, NB = 3, type 10, test 1, ratio = 0.28914E+06
UPLO = 'U', N = 5, NB = 20, type 10, test 1, ratio = 0.28914E+06
UPLO = 'U', N = 10, NB = 1, type 2, test 1, ratio = 0.18120E+07
UPLO = 'U', N = 10, NB = 3, type 2, test 1, ratio = 0.18120E+07
UPLO = 'U', N = 10, NB = 20, type 2, test 1, ratio = 0.18120E+07
UPLO = 'U', N = 10, NB = 1, type 3, test 1, ratio = 0.14461E+07
UPLO = 'U', N = 10, NB = 3, type 3, test 1, ratio = 0.14461E+07
UPLO = 'U', N = 10, NB = 20, type 3, test 1, ratio = 0.14461E+07
UPLO = 'U', N = 10, NB = 1, type 4, test 1, ratio = 0.21069E+07
UPLO = 'U', N = 10, NB = 3, type 4, test 1, ratio = 0.21069E+07
UPLO = 'U', N = 10, NB = 20, type 4, test 1, ratio = 0.21069E+07
UPLO = 'U', N = 10, NB = 1, type 5, test 1, ratio = 0.23839E+07
UPLO = 'U', N = 10, NB = 3, type 5, test 1, ratio = 0.23839E+07
UPLO = 'U', N = 10, NB = 20, type 5, test 1, ratio = 0.23839E+07
UPLO = 'U', N = 10, NB = 1, type 6, test 1, ratio = 0.24362E+06
UPLO = 'U', N = 10, NB = 3, type 6, test 1, ratio = 0.24362E+06
UPLO = 'U', N = 10, NB = 20, type 6, test 1, ratio = 0.24362E+06
UPLO = 'U', N = 10, NB = 1, type 7, test 1, ratio = 0.10401E+06
UPLO = 'U', N = 10, NB = 3, type 7, test 1, ratio = 0.10401E+06
UPLO = 'U', N = 10, NB = 20, type 7, test 1, ratio = 0.10401E+06
UPLO = 'U', N = 10, NB = 1, type 9, test 1, ratio = 0.11870E+07
UPLO = 'U', N = 10, NB = 3, type 9, test 1, ratio = 0.11870E+07
UPLO = 'U', N = 10, NB = 20, type 9, test 1, ratio = 0.11870E+07
UPLO = 'U', N = 10, NB = 1, type 10, test 1, ratio = 0.76517E+07
UPLO = 'U', N = 10, NB = 3, type 10, test 1, ratio = 0.76517E+07
UPLO = 'U', N = 10, NB = 20, type 10, test 1, ratio = 0.76517E+07
UPLO = 'U', N = 50, NB = 1, type 2, test 1, ratio = 0.40400E+07
UPLO = 'U', N = 50, NB = 3, type 2, test 1, ratio = 0.40400E+07
UPLO = 'U', N = 50, NB = 20, type 2, test 1, ratio = 0.40400E+07
UPLO = 'U', N = 50, NB = 1, type 3, test 1, ratio = 0.25687E+07
UPLO = 'U', N = 50, NB = 3, type 3, test 1, ratio = 0.25687E+07
UPLO = 'U', N = 50, NB = 20, type 3, test 1, ratio = 0.25687E+07
UPLO = 'U', N = 50, NB = 1, type 4, test 1, ratio = 0.20009E+07
UPLO = 'U', N = 50, NB = 3, type 4, test 1, ratio = 0.20009E+07
UPLO = 'U', N = 50, NB = 20, type 4, test 1, ratio = 0.20009E+07
UPLO = 'U', N = 50, NB = 1, type 5, test 1, ratio = 0.21307E+07
UPLO = 'U', N = 50, NB = 3, type 5, test 1, ratio = 0.21307E+07
UPLO = 'U', N = 50, NB = 20, type 5, test 1, ratio = 0.21307E+07
UPLO = 'U', N = 50, NB = 1, type 6, test 1, ratio = 0.88447E+06
UPLO = 'U', N = 50, NB = 3, type 6, test 1, ratio = 0.88447E+06
UPLO = 'U', N = 50, NB = 20, type 6, test 1, ratio = 0.88447E+06
UPLO = 'U', N = 50, NB = 1, type 7, test 1, ratio = 0.70596E+06
UPLO = 'U', N = 50, NB = 3, type 7, test 1, ratio = 0.70596E+06
UPLO = 'U', N = 50, NB = 20, type 7, test 1, ratio = 0.70596E+06
UPLO = 'U', N = 50, NB = 1, type 8, test 1, ratio = 0.61392E+06
UPLO = 'U', N = 50, NB = 3, type 8, test 1, ratio = 0.61391E+06
UPLO = 'U', N = 50, NB = 20, type 8, test 1, ratio = 0.61392E+06
UPLO = 'U', N = 50, NB = 1, type 9, test 1, ratio = 0.33009E+07
UPLO = 'U', N = 50, NB = 3, type 9, test 1, ratio = 0.33009E+07
UPLO = 'U', N = 50, NB = 20, type 9, test 1, ratio = 0.33009E+07
UPLO = 'U', N = 50, NB = 1, type 10, test 1, ratio = 0.35421E+07
UPLO = 'U', N = 50, NB = 3, type 10, test 1, ratio = 0.35421E+07
UPLO = 'U', N = 50, NB = 20, type 10, test 1, ratio = 0.35421E+07
CHE: 72 out of 1846 tests failed to pass the threshold
CHE drivers passed the tests of the error exits
CHE drivers: Hermitian indefinite matrices, "rook" (bounded Bunch-Kaufman) pivoting
Matrix types:
1. Diagonal 6. Last n/2 rows and columns zero
2. Random, CNDNUM = 2 7. Random, CNDNUM = sqrt(0.1/EPS)
3. First row and column zero 8. Random, CNDNUM = 0.1/EPS
4. Last row and column zero 9. Scaled near underflow
5. Middle row and column zero 10. Scaled near overflow
Test ratios:
1: norm( U*D*U' - A ) / ( N * norm(A) * EPS ), or
norm( L*D*L' - A ) / ( N * norm(A) * EPS )
2: norm( B - A * X ) / ( norm(A) * norm(X) * EPS )
3: norm( X - XACT ) / ( norm(XACT) * CNDNUM * EPS )
4: (backward error) / EPS
5: norm( X - XACT ) / ( norm(XACT) * (error bound) )
6: RCOND * CNDNUM - 1.0
Messages:
CHESV , UPLO='U', N = 3, type 2, test 1, ratio = 0.10874E+07
CHESVX, FACT='N', UPLO='U', N = 3, type 2, test 1, ratio = 0.10874E+07
CHESV , UPLO='U', N = 5, type 9, test 1, ratio = 0.32042E+07
CHESVX, FACT='N', UPLO='U', N = 5, type 9, test 1, ratio = 0.32042E+07
CHESV , UPLO='U', N = 5, type 10, test 1, ratio = 0.35394E+07
CHESVX, FACT='N', UPLO='U', N = 5, type 10, test 1, ratio = 0.35394E+07
CHESV , UPLO='U', N = 10, type 2, test 1, ratio = 0.16458E+07
CHESVX, FACT='N', UPLO='U', N = 10, type 2, test 1, ratio = 0.16458E+07
CHESV , UPLO='U', N = 10, type 7, test 1, ratio = 0.14266E+06
CHESVX, FACT='N', UPLO='U', N = 10, type 7, test 1, ratio = 0.14266E+06
CHESV , UPLO='U', N = 10, type 9, test 1, ratio = 0.31372E+07
CHESVX, FACT='N', UPLO='U', N = 10, type 9, test 1, ratio = 0.31372E+07
CHESV , UPLO='U', N = 10, type 10, test 1, ratio = 0.16814E+07
CHESVX, FACT='N', UPLO='U', N = 10, type 10, test 1, ratio = 0.16814E+07
CHESV , UPLO='U', N = 50, type 2, test 1, ratio = 0.86168E+07
CHESVX, FACT='N', UPLO='U', N = 50, type 2, test 1, ratio = 0.86168E+07
CHESV , UPLO='U', N = 50, type 7, test 1, ratio = 0.80869E+06
CHESVX, FACT='N', UPLO='U', N = 50, type 7, test 1, ratio = 0.80869E+06
CHESV , UPLO='U', N = 50, type 8, test 1, ratio = 0.52818E+06
CHESVX, FACT='N', UPLO='U', N = 50, type 8, test 1, ratio = 0.52818E+06
CHESV , UPLO='U', N = 50, type 9, test 1, ratio = 0.85655E+07
CHESVX, FACT='N', UPLO='U', N = 50, type 9, test 1, ratio = 0.85655E+07
CHESV , UPLO='U', N = 50, type 10, test 1, ratio = 0.32095E+07
CHESVX, FACT='N', UPLO='U', N = 50, type 10, test 1, ratio = 0.32095E+07
CHE drivers: 24 out of 1072 tests failed to pass the threshold
CHR routines passed the tests of the error exits
All tests for CHR routines passed the threshold ( 1618 tests run)
CHR drivers passed the tests of the error exits
All tests for CHR drivers passed the threshold ( 222 tests run)
CHK routines passed the tests of the error exits
All tests for CHK routines passed the threshold ( 1618 tests run)
CHK drivers passed the tests of the error exits
All tests for CHK drivers passed the threshold ( 222 tests run)
CHA routines passed the tests of the error exits
All tests for CHA routines passed the threshold ( 1320 tests run)
CHA drivers passed the tests of the error exits
All tests for CHA drivers passed the threshold ( 148 tests run)
CH2 routines passed the tests of the error exits
All tests for CH2 routines passed the threshold ( 666 tests run)
CH2 drivers passed the tests of the error exits
All tests for CH2 drivers passed the threshold ( 74 tests run)
CSA routines passed the tests of the error exits
All tests for CSA routines passed the threshold ( 1320 tests run)
CSA drivers passed the tests of the error exits
All tests for CSA drivers passed the threshold ( 148 tests run)
CS2 routines passed the tests of the error exits
All tests for CS2 routines passed the threshold ( 666 tests run)
CS2 drivers passed the tests of the error exits
All tests for CS2 drivers passed the threshold ( 74 tests run)
CHP routines passed the tests of the error exits
All tests for CHP routines passed the threshold ( 1404 tests run)
CHP drivers passed the tests of the error exits
All tests for CHP drivers passed the threshold ( 1072 tests run)
CSY routines passed the tests of the error exits
All tests for CSY routines passed the threshold ( 2122 tests run)
CSY drivers passed the tests of the error exits
All tests for CSY drivers passed the threshold ( 1240 tests run)
CSR routines passed the tests of the error exits
All tests for CSR routines passed the threshold ( 1822 tests run)
CSR drivers passed the tests of the error exits
All tests for CSR drivers passed the threshold ( 258 tests run)
CSK routines passed the tests of the error exits
All tests for CSK routines passed the threshold ( 1822 tests run)
CSK drivers passed the tests of the error exits
All tests for CSK drivers passed the threshold ( 258 tests run)
CSP routines passed the tests of the error exits
All tests for CSP routines passed the threshold ( 1620 tests run)
CSP drivers passed the tests of the error exits
All tests for CSP drivers passed the threshold ( 1240 tests run)
CTR routines passed the tests of the error exits
All tests for CTR routines passed the threshold ( 7672 tests run)
CTP routines passed the tests of the error exits
All tests for CTP routines passed the threshold ( 7392 tests run)
CTB routines passed the tests of the error exits
All tests for CTB routines passed the threshold ( 19888 tests run)
CQR routines passed the tests of the error exits
All tests for CQR routines passed the threshold ( 42840 tests run)
CRQ routines passed the tests of the error exits
All tests for CRQ routines passed the threshold ( 28784 tests run)
CLQ routines passed the tests of the error exits
All tests for CLQ routines passed the threshold ( 28784 tests run)
CQL routines passed the tests of the error exits
All tests for CQL routines passed the threshold ( 28784 tests run)
All tests for CQ3 routines passed the threshold ( 4410 tests run)
CTZ routines passed the tests of the error exits
All tests for CTZ routines passed the threshold ( 252 tests run)
CLS routines passed the tests of the error exits
All tests for CLS drivers passed the threshold ( 105840 tests run)
All tests for CEQ routines passed the threshold
CQT routines passed the tests of the error exits
All tests for CQT routines passed the threshold ( 510 tests run)
CQX routines passed the tests of the error exits
All tests for CQX routines passed the threshold ( 1482 tests run)
CXQ routines passed the tests of the error exits
All tests for CXQ routines passed the threshold ( 1482 tests run)
CTQ routines passed the tests of the error exits
All tests for CTQ routines passed the threshold ( 510 tests run)
CTS routines passed the tests of the error exits
All tests for CTS routines passed the threshold ( 10800 tests run)
CHH routines passed the tests of the error exits
All tests for CHH routines passed the threshold ( 15900 tests run)
End of tests
Total time used = 42.42 seconds
Tests of the COMPLEX LAPACK RFP routines
LAPACK VERSION 3.9.0
The following parameter values will be used:
N : 0 1 2 3 5 6 10 11 50
NRHS: 1 2 15
TYPE: 1 2 3 4 5 6 7 8 9
Routines pass computational tests if test ratio is less than 42.00
Relative machine underflow is taken to be 0.117549D-37
Relative machine overflow is taken to be 0.340282D+39
Relative machine precision is taken to be 0.596046D-07
COMPLEX RFP routines passed the tests of the error exits
All tests for CPF drivers passed the threshold ( 2304 tests run)
All tests for CLANHF auxiliary routine passed the threshold ( 384 tests run)
All tests for the RFP conversion routines passed ( 72 tests run)
All tests for CTFSM auxiliary routine passed the threshold ( 7776 tests run)
All tests for CHFRK auxiliary routine passed the threshold ( 2592 tests run)
End of tests
Total time used = 3.54 seconds
Tests of the Nonsymmetric Eigenvalue Problem routines
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 0 1 2 3 5 10 16
N: 0 1 2 3 5 10 16
NB: 1 3 3 3 20
NBMIN: 2 2 2 2 2
NX: 1 0 5 9 1
INMIN: 11 12 11 15 11
INWIN: 2 3 5 3 2
INIBL: 0 5 7 3 200
ISHFTS: 1 2 4 2 1
IACC22: 0 1 2 0 1
Relative machine underflow is taken to be 0.222507-307
Relative machine overflow is taken to be 0.179769+309
Relative machine precision is taken to be 0.111022D-15
Routines pass computational tests if test ratio is less than 20.00
ZHS routines passed the tests of the error exits ( 66 tests done)
NEP: NB = 1, NBMIN = 2, NX = 1, INMIN= 11, INWIN = 2, INIBL = 0, ISHFTS = 1, IACC22 = 0
All tests for ZHS passed the threshold ( 1764 tests run)
NEP: NB = 3, NBMIN = 2, NX = 0, INMIN= 12, INWIN = 3, INIBL = 5, ISHFTS = 2, IACC22 = 1
All tests for ZHS passed the threshold ( 1764 tests run)
NEP: NB = 3, NBMIN = 2, NX = 5, INMIN= 11, INWIN = 5, INIBL = 7, ISHFTS = 4, IACC22 = 2
All tests for ZHS passed the threshold ( 1764 tests run)
NEP: NB = 3, NBMIN = 2, NX = 9, INMIN= 15, INWIN = 3, INIBL = 3, ISHFTS = 2, IACC22 = 0
All tests for ZHS passed the threshold ( 1764 tests run)
NEP: NB = 20, NBMIN = 2, NX = 1, INMIN= 11, INWIN = 2, INIBL = 200, ISHFTS = 1, IACC22 = 1
All tests for ZHS passed the threshold ( 1764 tests run)
End of tests
Total time used = 0.10 seconds
Tests of the Hermitian Eigenvalue Problem routines
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 0 1 2 3 5 20
N: 0 1 2 3 5 20
NB: 1 3 3 3 10
NBMIN: 2 2 2 2 2
NX: 1 0 5 9 1
Relative machine underflow is taken to be 0.222507-307
Relative machine overflow is taken to be 0.179769+309
Relative machine precision is taken to be 0.111022D-15
Routines pass computational tests if test ratio is less than 50.00
ZST routines passed the tests of the error exits (176 tests done)
SEP: NB = 1, NBMIN = 2, NX = 1
All tests for ZST passed the threshold ( 4440 tests run)
All tests for ZST drivers passed the threshold ( 11016 tests run)
SEP: NB = 3, NBMIN = 2, NX = 0
All tests for ZST passed the threshold ( 4440 tests run)
All tests for ZST drivers passed the threshold ( 11016 tests run)
SEP: NB = 3, NBMIN = 2, NX = 5
All tests for ZST passed the threshold ( 4440 tests run)
All tests for ZST drivers passed the threshold ( 11016 tests run)
SEP: NB = 3, NBMIN = 2, NX = 9
All tests for ZST passed the threshold ( 4440 tests run)
All tests for ZST drivers passed the threshold ( 11016 tests run)
SEP: NB = 10, NBMIN = 2, NX = 1
All tests for ZST passed the threshold ( 4440 tests run)
All tests for ZST drivers passed the threshold ( 11016 tests run)
routines were not tested
End of tests
Total time used = 11.39 seconds
Tests of the Hermitian Eigenvalue Problem routines
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 0 1 2 3 5 20
N: 0 1 2 3 5 20
NB: 1 3 3 3 10
NBMIN: 2 2 2 2 2
NX: 1 0 5 9 1
Relative machine underflow is taken to be 0.222507-307
Relative machine overflow is taken to be 0.179769+309
Relative machine precision is taken to be 0.111022D-15
Routines pass computational tests if test ratio is less than 50.00
ZST routines passed the tests of the error exits (176 tests done)
SE2: NB = 1, NBMIN = 2, NX = 1
All tests for ZST passed the threshold ( 4440 tests run)
All tests for ZST drivers passed the threshold ( 11016 tests run)
SE2: NB = 3, NBMIN = 2, NX = 0
All tests for ZST passed the threshold ( 4440 tests run)
All tests for ZST drivers passed the threshold ( 11016 tests run)
SE2: NB = 3, NBMIN = 2, NX = 5
All tests for ZST passed the threshold ( 4440 tests run)
All tests for ZST drivers passed the threshold ( 11016 tests run)
SE2: NB = 3, NBMIN = 2, NX = 9
All tests for ZST passed the threshold ( 4440 tests run)
All tests for ZST drivers passed the threshold ( 11016 tests run)
SE2: NB = 10, NBMIN = 2, NX = 1
All tests for ZST passed the threshold ( 4440 tests run)
All tests for ZST drivers passed the threshold ( 11016 tests run)
routines were not tested
End of tests
Total time used = 30.43 seconds
Tests of the Singular Value Decomposition routines
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 0 0 0 1 1 1 2 2 3 3
3 10 10 16 16 30 30 40 40
N: 0 1 3 0 1 2 0 1 0 1
3 10 16 10 16 30 40 30 40
NB: 1 3 3 3 20
NBMIN: 2 2 2 2 2
NX: 1 0 5 9 1
NS: 2 0 2 2 2
Relative machine underflow is taken to be 0.222507-307
Relative machine overflow is taken to be 0.179769+309
Relative machine precision is taken to be 0.111022D-15
Routines pass computational tests if test ratio is less than 50.00
ZBD routines passed the tests of the error exits ( 35 tests done)
ZGESVD passed the tests of the error exits ( 8 tests done)
ZGESDD passed the tests of the error exits ( 6 tests done)
ZGEJSV passed the tests of the error exits ( 11 tests done)
ZGESVDX passed the tests of the error exits ( 12 tests done)
ZGESVDQ passed the tests of the error exits ( 11 tests done)
SVD: NB = 1, NBMIN = 2, NX = 1, NRHS = 2
All tests for ZBD routines passed the threshold ( 4085 tests run)
All tests for ZBD drivers passed the threshold ( 14340 tests run)
SVD: NB = 3, NBMIN = 2, NX = 0, NRHS = 0
All tests for ZBD routines passed the threshold ( 4085 tests run)
All tests for ZBD drivers passed the threshold ( 14340 tests run)
SVD: NB = 3, NBMIN = 2, NX = 5, NRHS = 2
All tests for ZBD routines passed the threshold ( 4085 tests run)
All tests for ZBD drivers passed the threshold ( 14340 tests run)
SVD: NB = 3, NBMIN = 2, NX = 9, NRHS = 2
All tests for ZBD routines passed the threshold ( 4085 tests run)
All tests for ZBD drivers passed the threshold ( 14340 tests run)
SVD: NB = 20, NBMIN = 2, NX = 1, NRHS = 2
All tests for ZBD routines passed the threshold ( 4085 tests run)
All tests for ZBD drivers passed the threshold ( 14340 tests run)
End of tests
Total time used = 8.38 seconds
Tests of the Nonsymmetric eigenproblem condition estimation routines
ZTRSYL, ZTREXC, ZTRSNA, ZTRSEN
Relative machine precision (EPS) = 0.222045D-15
Safe minimum (SFMIN) = 0.222507-307
Routines pass computational tests if test ratio is less than 20.00
ZEC routines passed the tests of the error exits ( 33 tests done)
All tests for ZEC routines passed the threshold ( 5966 tests run)
End of tests
Total time used = 0.02 seconds
Tests of the Nonsymmetric Eigenvalue Problem Driver
ZGEES (Schur form)
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 0 1 2 3 5 10 20
N: 0 1 2 3 5 10 20
NB: 3
NBMIN: 3
NX: 1
INMIN: 11
INWIN: 4
INIBL: 8
ISHFTS: 2
IACC22: 0
Relative machine underflow is taken to be 0.222507-307
Relative machine overflow is taken to be 0.179769+309
Relative machine precision is taken to be 0.111022D-15
Routines pass computational tests if test ratio is less than 20.00
ZGEES passed the tests of the error exits ( 6 tests done)
All tests for ZES passed the threshold ( 3822 tests run)
-----------------------------------------------------------------------
Tests of the Nonsymmetric Eigenvalue Problem Driver
ZGEEV (eigenvalues and eigevectors)
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 0 1 2 3 5 10 20
N: 0 1 2 3 5 10 20
NB: 3
NBMIN: 3
NX: 1
INMIN: 11
INWIN: 4
INIBL: 8
ISHFTS: 2
IACC22: 0
Relative machine underflow is taken to be 0.222507-307
Relative machine overflow is taken to be 0.179769+309
Relative machine precision is taken to be 0.111022D-15
Routines pass computational tests if test ratio is less than 20.00
ZGEEV passed the tests of the error exits ( 7 tests done)
All tests for ZEV passed the threshold ( 1092 tests run)
-----------------------------------------------------------------------
Tests of the Nonsymmetric Eigenvalue Problem Expert Driver
ZGEESX (Schur form and condition numbers)
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 0 1 2 3 5 10 20
N: 0 1 2 3 5 10 20
NB: 3
NBMIN: 3
NX: 1
INMIN: 11
INWIN: 4
INIBL: 8
ISHFTS: 2
IACC22: 0
Relative machine underflow is taken to be 0.222507-307
Relative machine overflow is taken to be 0.179769+309
Relative machine precision is taken to be 0.111022D-15
Routines pass computational tests if test ratio is less than 20.00
ZGEESX passed the tests of the error exits ( 7 tests done)
All tests for ZSX passed the threshold ( 3994 tests run)
-----------------------------------------------------------------------
Tests of the Nonsymmetric Eigenvalue Problem Expert Driver
ZGEEVX (eigenvalues, eigenvectors and condition numbers)
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 0 1 2 3 5 10
N: 0 1 2 3 5 10
NB: 3
NBMIN: 3
NX: 1
INMIN: 11
INWIN: 4
INIBL: 8
ISHFTS: 2
IACC22: 0
Relative machine underflow is taken to be 0.222507-307
Relative machine overflow is taken to be 0.179769+309
Relative machine precision is taken to be 0.111022D-15
Routines pass computational tests if test ratio is less than 20.00
ZGEEVX passed the tests of the error exits ( 10 tests done)
All tests for ZVX passed the threshold ( 5172 tests run)
-----------------------------------------------------------------------
End of tests
Total time used = 0.30 seconds
Tests of the Generalized Nonsymmetric Eigenvalue Problem routines
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 0 1 2 3 5 10 16
N: 0 1 2 3 5 10 16
NB: 1 1 2 2
NBMIN: 40 40 2 2
NS: 2 4 2 4
MAXB: 40 40 2 2
IACC22: 1 2 1 2
NBCOL: 40 40 2 2
Relative machine underflow is taken to be 0.222507-307
Relative machine overflow is taken to be 0.179769+309
Relative machine precision is taken to be 0.111022D-15
Routines pass computational tests if test ratio is less than 20.00
ZGG routines passed the tests of the error exits ( 36 tests done)
ZGG: NB = 1, NBMIN = 40, NS = 2, MAXB = 40, IACC22 = 1, NBCOL = 40
All tests for ZGG passed the threshold ( 2184 tests run)
ZGG: NB = 1, NBMIN = 40, NS = 4, MAXB = 40, IACC22 = 2, NBCOL = 40
All tests for ZGG passed the threshold ( 2184 tests run)
ZGG: NB = 2, NBMIN = 2, NS = 2, MAXB = 2, IACC22 = 1, NBCOL = 2
All tests for ZGG passed the threshold ( 2184 tests run)
ZGG: NB = 2, NBMIN = 2, NS = 4, MAXB = 2, IACC22 = 2, NBCOL = 2
All tests for ZGG passed the threshold ( 2184 tests run)
End of tests
Total time used = 0.05 seconds
Tests of the Generalized Nonsymmetric Eigenvalue Problem Driver ZGGEV
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 2 6 8 10 12 20
N: 2 6 8 10 12 20
NB: 1
NBMIN: 1
NX: 1
NS: 2
MAXB: 1
Relative machine underflow is taken to be 0.222507-307
Relative machine overflow is taken to be 0.179769+309
Relative machine precision is taken to be 0.111022D-15
Routines pass computational tests if test ratio is less than 10.00
ZGV routines passed the tests of the error exits (106 tests done)
ZGV -- Complex Generalized eigenvalue problem driver
Matrix types (see ZDRGEV for details):
Special Matrices: (J'=transposed Jordan block)
1=(0,0) 2=(I,0) 3=(0,I) 4=(I,I) 5=(J',J') 6=(diag(J',I), diag(I,J'))
Diagonal Matrices: ( D=diag(0,1,2,...) )
7=(D,I) 9=(large*D, small*I) 11=(large*I, small*D) 13=(large*D, large*I)
8=(I,D) 10=(small*D, large*I) 12=(small*I, large*D) 14=(small*D, small*I)
15=(D, reversed D)
Matrices Rotated by Random Orthogonal Matrices U, V:
16=Transposed Jordan Blocks 19=geometric alpha, beta=0,1
17=arithm. alpha&beta 20=arithmetic alpha, beta=0,1
18=clustered alpha, beta=0,1 21=random alpha, beta=0,1
Large & Small Matrices:
22=(large, small) 23=(small,large) 24=(small,small) 25=(large,large)
26=random O(1) matrices.
Tests performed:
1 = max | ( b A - a B )'*l | / const.,
2 = | |VR(i)| - 1 | / ulp,
3 = max | ( b A - a B )*r | / const.
4 = | |VL(i)| - 1 | / ulp,
5 = 0 if W same no matter if r or l computed,
6 = 0 if l same no matter if l computed,
7 = 0 if r same no matter if r computed,
Matrix order= 6, type=16, seed=2561,2092,2253,1501, result 5 is 4.504D+15
Matrix order= 6, type=17, seed= 928, 524,1960,1805, result 5 is 4.504D+15
Matrix order= 6, type=18, seed= 207,4051,1322,2589, result 5 is 4.504D+15
Matrix order= 6, type=19, seed=1568,1054,3108,4061, result 5 is 4.504D+15
Matrix order= 6, type=20, seed=2816,2374,4004,1437, result 5 is 4.504D+15
Matrix order= 6, type=21, seed=2562, 875, 872,2909, result 5 is 4.504D+15
Matrix order= 6, type=22, seed=3319,2898,2323, 421, result 5 is 4.504D+15
Matrix order= 6, type=23, seed=3531, 634, 897,2349, result 5 is 4.504D+15
Matrix order= 6, type=24, seed=3589,1622,1806,1013, result 5 is 4.504D+15
Matrix order= 6, type=25, seed=2783,2334, 512,1021, result 5 is 4.504D+15
Matrix order= 6, type=26, seed=3137, 994,1363,2885, result 5 is 4.504D+15
Matrix order= 8, type=17, seed=3532,3167,3258,2741, result 5 is 4.504D+15
Matrix order= 8, type=18, seed=1945,4022,1865,2917, result 5 is 4.504D+15
Matrix order= 8, type=19, seed= 81,3302,2127,1893, result 5 is 4.504D+15
Matrix order= 8, type=20, seed= 786,3466,1621, 869, result 5 is 4.504D+15
Matrix order= 8, type=21, seed=2270,2402, 346,3941, result 5 is 4.504D+15
Matrix order= 8, type=22, seed=1864,1549,2193,2613, result 5 is 4.504D+15
Matrix order= 8, type=23, seed=2238,1771, 794,1773, result 5 is 4.504D+15
Matrix order= 8, type=24, seed=1060,1095,1526,3813, result 5 is 4.504D+15
Matrix order= 8, type=25, seed=3418,3932,2951, 29, result 5 is 4.504D+15
Matrix order= 8, type=26, seed=1988,2884,2319,2197, result 5 is 4.504D+15
Matrix order= 10, type=16, seed=3035,2932, 876,2021, result 5 is 4.504D+15
Matrix order= 10, type=17, seed=1932,2747,1915,3445, result 5 is 4.504D+15
Matrix order= 10, type=18, seed=3976, 520,2977,2757, result 5 is 4.504D+15
Matrix order= 10, type=19, seed= 806,4093,1609,2693, result 5 is 4.504D+15
Matrix order= 10, type=20, seed=3281,1827, 254,2629, result 5 is 4.504D+15
Matrix order= 10, type=21, seed=1238, 15, 384,2565, result 5 is 4.504D+15
Matrix order= 10, type=22, seed=3094,3351,2614,2525, result 5 is 4.504D+15
Matrix order= 10, type=23, seed=2605, 629,2321,1285, result 5 is 4.504D+15
Matrix order= 10, type=24, seed= 929,2687, 964,2925, result 5 is 4.504D+15
Matrix order= 10, type=25, seed=1209,2652, 535,1813, result 5 is 4.504D+15
Matrix order= 10, type=26, seed= 624,2762,2893, 509, result 5 is 4.504D+15
Matrix order= 12, type=17, seed=2239, 68,3302,1037, result 5 is 4.504D+15
Matrix order= 12, type=18, seed=1615,2331,2107,2557, result 5 is 4.504D+15
Matrix order= 12, type=19, seed=1401, 178,4093, 253, result 5 is 4.504D+15
Matrix order= 12, type=20, seed= 252,3709, 526,2045, result 5 is 4.504D+15
Matrix order= 12, type=21, seed=1352, 392,3695,3837, result 5 is 4.504D+15
Matrix order= 12, type=22, seed=1710,1543,1672,2973, result 5 is 4.504D+15
Matrix order= 12, type=23, seed=2685, 174, 871,2549, result 5 is 4.504D+15
Matrix order= 12, type=24, seed=2693,2404,3046,2957, result 5 is 4.504D+15
Matrix order= 12, type=25, seed= 578, 723, 929,1637, result 5 is 4.504D+15
Matrix order= 12, type=26, seed=2061,1512,1968, 125, result 5 is 4.504D+15
Matrix order= 20, type=16, seed= 647,2328,1944, 557, result 5 is 4.504D+15
Matrix order= 20, type=17, seed=1585,3902,3906,1293, result 5 is 4.504D+15
Matrix order= 20, type=18, seed=1063,2113,3640,2685, result 5 is 4.504D+15
Matrix order= 20, type=19, seed=2305,3879, 305, 381, result 5 is 4.504D+15
Matrix order= 20, type=20, seed= 897,3616, 121,2173, result 5 is 4.504D+15
Matrix order= 20, type=21, seed= 676,3851,3089,3965, result 5 is 4.504D+15
Matrix order= 20, type=22, seed=1763,2855,1954,1469, result 5 is 4.504D+15
Matrix order= 20, type=23, seed=1338,3437,3180,3285, result 5 is 4.504D+15
Matrix order= 20, type=24, seed=3522,1685,3785, 813, result 5 is 4.504D+15
Matrix order= 20, type=25, seed=2931,3978,3195,3781, result 5 is 4.504D+15
Matrix order= 20, type=26, seed= 449,1038,1670,1437, result 5 is 4.504D+15
ZGV drivers: 53 out of 1092 tests failed to pass the threshold
ZGV -- Complex Generalized eigenvalue problem driver
Matrix types (see ZDRGEV3 for details):
Special Matrices: (J'=transposed Jordan block)
1=(0,0) 2=(I,0) 3=(0,I) 4=(I,I) 5=(J',J') 6=(diag(J',I), diag(I,J'))
Diagonal Matrices: ( D=diag(0,1,2,...) )
7=(D,I) 9=(large*D, small*I) 11=(large*I, small*D) 13=(large*D, large*I)
8=(I,D) 10=(small*D, large*I) 12=(small*I, large*D) 14=(small*D, small*I)
15=(D, reversed D)
Matrices Rotated by Random Orthogonal Matrices U, V:
16=Transposed Jordan Blocks 19=geometric alpha, beta=0,1
17=arithm. alpha&beta 20=arithmetic alpha, beta=0,1
18=clustered alpha, beta=0,1 21=random alpha, beta=0,1
Large & Small Matrices:
22=(large, small) 23=(small,large) 24=(small,small) 25=(large,large)
26=random O(1) matrices.
Tests performed:
1 = max | ( b A - a B )'*l | / const.,
2 = | |VR(i)| - 1 | / ulp,
3 = max | ( b A - a B )*r | / const.
4 = | |VL(i)| - 1 | / ulp,
5 = 0 if W same no matter if r or l computed,
6 = 0 if l same no matter if l computed,
7 = 0 if r same no matter if r computed,
Matrix order= 6, type=17, seed=1616, 232,2618,3833, result 5 is 4.504D+15
Matrix order= 6, type=18, seed=1215,2818,3230,4041, result 5 is 4.504D+15
Matrix order= 6, type=19, seed=1096,3468,2937,1673, result 5 is 4.504D+15
Matrix order= 6, type=20, seed=1386,4069, 996,3401, result 5 is 4.504D+15
Matrix order= 6, type=21, seed=3675, 772, 673,1033, result 5 is 4.504D+15
Matrix order= 6, type=22, seed=2351,2300,3958,3633, result 5 is 4.504D+15
Matrix order= 6, type=23, seed=3219,3419,2684,3225, result 5 is 4.504D+15
Matrix order= 6, type=24, seed= 63,2177, 120,2369, result 5 is 4.504D+15
Matrix order= 6, type=25, seed=3975,1471, 136,3625, result 5 is 4.504D+15
Matrix order= 6, type=26, seed=1259,3839,3789,1361, result 5 is 4.504D+15
Matrix order= 8, type=16, seed=3061, 318,3006,3137, result 5 is 4.504D+15
Matrix order= 8, type=17, seed= 4,1268,3910,3329, result 5 is 4.504D+15
Matrix order= 8, type=18, seed= 707,3376, 324,2289, result 5 is 4.504D+15
Matrix order= 8, type=19, seed=3483,3225,1739,1265, result 5 is 4.504D+15
Matrix order= 8, type=20, seed=2679,3017,1362, 241, result 5 is 4.504D+15
Matrix order= 8, type=21, seed=1040,2943,3288,3313, result 5 is 4.504D+15
Matrix order= 8, type=22, seed=3828,1645,3004,3713, result 5 is 4.504D+15
Matrix order= 8, type=23, seed= 757,2964, 139,2905, result 5 is 4.504D+15
Matrix order= 8, type=24, seed=3891, 673,1567,3697, result 5 is 4.504D+15
Matrix order= 8, type=25, seed= 853,3406,4037,3529, result 5 is 4.504D+15
Matrix order= 8, type=26, seed=3858,3478,2874,3937, result 5 is 4.504D+15
ZGV drivers: 21 out of 1092 tests failed to pass the threshold
-----------------------------------------------------------------------
Tests of the Generalized Nonsymmetric Eigenvalue Problem Driver ZGGES
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 2 6 10 12 20
N: 2 6 10 12 20
NB: 1
NBMIN: 1
NX: 1
NS: 2
MAXB: 1
Relative machine underflow is taken to be 0.222507-307
Relative machine overflow is taken to be 0.179769+309
Relative machine precision is taken to be 0.111022D-15
Routines pass computational tests if test ratio is less than 10.00
ZGS routines passed the tests of the error exits (106 tests done)
All tests for ZGS drivers passed the threshold ( 1560 tests run)
All tests for ZGS drivers passed the threshold ( 1560 tests run)
-----------------------------------------------------------------------
Tests of the Generalized Nonsymmetric Eigenvalue Problem Expert Driver ZGGESX
LAPACK VERSION 3.9.0
The following parameter values will be used:
N: 2
NB: 1
NBMIN: 1
NX: 1
NS: 2
MAXB: 1
Relative machine underflow is taken to be 0.222507-307
Relative machine overflow is taken to be 0.179769+309
Relative machine precision is taken to be 0.111022D-15
Routines pass computational tests if test ratio is less than 10.00
ZGX routines passed the tests of the error exits (106 tests done)
All tests for ZGX drivers passed the threshold ( 150 tests run)
-----------------------------------------------------------------------
Tests of the Generalized Nonsymmetric Eigenvalue Problem Expert Driver ZGGEVX
LAPACK VERSION 3.9.0
The following parameter values will be used:
N: 6
NB: 1
NBMIN: 1
NX: 1
NS: 2
MAXB: 1
Relative machine underflow is taken to be 0.222507-307
Relative machine overflow is taken to be 0.179769+309
Relative machine precision is taken to be 0.111022D-15
Routines pass computational tests if test ratio is less than 10.00
ZXV routines passed the tests of the error exits (106 tests done)
All tests for ZXV drivers passed the threshold ( 5000 tests run)
-----------------------------------------------------------------------
Tests of the Generalized Nonsymmetric Eigenvalue Problem Expert Driver ZGGESX
LAPACK VERSION 3.9.0
The following parameter values will be used:
N: 0
NB: 1
NBMIN: 1
NX: 1
NS: 2
MAXB: 1
Relative machine underflow is taken to be 0.222507-307
Relative machine overflow is taken to be 0.179769+309
Relative machine precision is taken to be 0.111022D-15
Routines pass computational tests if test ratio is less than 10.00
ZGX routines passed the tests of the error exits (106 tests done)
All tests for ZGX drivers passed the threshold ( 20 tests run)
-----------------------------------------------------------------------
Tests of the Generalized Nonsymmetric Eigenvalue Problem Expert Driver ZGGEVX
LAPACK VERSION 3.9.0
The following parameter values will be used:
N: 0
NB: 1
NBMIN: 1
NX: 1
NS: 2
MAXB: 1
Relative machine underflow is taken to be 0.222507-307
Relative machine overflow is taken to be 0.179769+309
Relative machine precision is taken to be 0.111022D-15
Routines pass computational tests if test ratio is less than 10.00
ZXV routines passed the tests of the error exits (106 tests done)
All tests for ZXV drivers passed the threshold ( 8 tests run)
-----------------------------------------------------------------------
End of tests
Total time used = 2.64 seconds
Tests of ZHBTRD
(reduction of a Hermitian band matrix to real tridiagonal form)
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 5 20
N: 5 20
K: 0 1 2 5 16
Relative machine underflow is taken to be 0.222507-307
Relative machine overflow is taken to be 0.179769+309
Relative machine precision is taken to be 0.111022D-15
Routines pass computational tests if test ratio is less than 20.00
ZHB routines passed the tests of the error exits ( 80 tests done)
All tests for ZHB passed the threshold ( 810 tests run)
End of tests
Total time used = 1.06 seconds
Tests of the Hermitian Eigenvalue Problem routines
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 0 1 2 3 5 10 16
N: 0 1 2 3 5 10 16
NB: 1 3 20
NBMIN: 2 2 2
NX: 1 1 1
Relative machine underflow is taken to be 0.222507-307
Relative machine overflow is taken to be 0.179769+309
Relative machine precision is taken to be 0.111022D-15
Routines pass computational tests if test ratio is less than 20.00
ZSG: NB = 1, NBMIN = 2, NX = 1
All tests for ZSG passed the threshold ( 11172 tests run)
ZSG: NB = 3, NBMIN = 2, NX = 1
All tests for ZSG passed the threshold ( 11172 tests run)
ZSG: NB = 20, NBMIN = 2, NX = 1
All tests for ZSG passed the threshold ( 11172 tests run)
End of tests
Total time used = 23.74 seconds
Tests of ZGBBRD
(reduction of a general band matrix to real bidiagonal form)
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 0 0 0 0 1 1 1 1 2 2
2 2 3 3 3 3 10 10 16 16
N: 0 1 2 3 0 1 2 3 0 1
2 3 0 1 2 3 10 16 10 16
K: 0 1 2 3 16
NS: 1 2
Relative machine underflow is taken to be 0.222507-307
Relative machine overflow is taken to be 0.179769+309
Relative machine precision is taken to be 0.111022D-15
Routines pass computational tests if test ratio is less than 20.00
ZBB: NRHS = 1
All tests for ZBB passed the threshold ( 3000 tests run)
ZBB: NRHS = 2
All tests for ZBB passed the threshold ( 3000 tests run)
End of tests
Total time used = 0.01 seconds
Tests of the Generalized Linear Regression Model routines
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 0 5 8 15 20 40
P: 9 0 15 12 15 30
N: 5 5 10 25 30 40
Relative machine underflow is taken to be 0.222507-307
Relative machine overflow is taken to be 0.179769+309
Relative machine precision is taken to be 0.111022D-15
Routines pass computational tests if test ratio is less than 20.00
GLM routines passed the tests of the error exits ( 8 tests done)
All tests for GLM routines passed the threshold ( 48 tests run)
End of tests
Total time used = 0.01 seconds
Tests of the Generalized QR and RQ routines
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 0 3 10
P: 0 5 20
N: 0 3 30
Relative machine underflow is taken to be 0.222507-307
Relative machine overflow is taken to be 0.179769+309
Relative machine precision is taken to be 0.111022D-15
Routines pass computational tests if test ratio is less than 20.00
GQR routines passed the tests of the error exits ( 12 tests done)
All tests for GQR routines passed the threshold ( 1728 tests run)
End of tests
Total time used = 0.01 seconds
Tests of the Generalized Singular Value Decomposition routines
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 0 5 9 10 20 12 12 40
P: 4 0 12 14 10 10 20 15
N: 3 10 15 12 8 20 8 20
Relative machine underflow is taken to be 0.222507-307
Relative machine overflow is taken to be 0.179769+309
Relative machine precision is taken to be 0.111022D-15
Routines pass computational tests if test ratio is less than 20.00
GSV routines passed the tests of the error exits ( 33 tests done)
All tests for GSV routines passed the threshold ( 384 tests run)
End of tests
Total time used = 0.01 seconds
Tests of the CS Decomposition routines
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 0 10 10 10 10 21 24 30 22 32
P: 0 4 4 0 10 9 10 20 12 12
N: 0 0 10 4 4 15 12 8 20 8
Relative machine underflow is taken to be 0.222507-307
Relative machine overflow is taken to be 0.179769+309
Relative machine precision is taken to be 0.111022D-15
Routines pass computational tests if test ratio is less than 30.00
CSD routines passed the tests of the error exits ( 8 tests done)
All tests for CSD routines passed the threshold ( 600 tests run)
End of tests
Total time used = 0.00 seconds
Tests of the Linear Least Squares routines
LAPACK VERSION 3.9.0
The following parameter values will be used:
M: 6 0 5 8 10 30
P: 0 5 5 5 8 20
N: 5 5 6 8 12 40
Relative machine underflow is taken to be 0.222507-307
Relative machine overflow is taken to be 0.179769+309
Relative machine precision is taken to be 0.111022D-15
Routines pass computational tests if test ratio is less than 20.00
LSE routines passed the tests of the error exits ( 8 tests done)
All tests for LSE routines passed the threshold ( 96 tests run)
End of tests
Total time used = 0.00 seconds
Tests of the COMPLEX*16 LAPACK routines
LAPACK VERSION 3.9.0
The following parameter values will be used:
M : 0 1 2 3 5 10 50
N : 0 1 2 3 5 10 50
NRHS: 1 2 15
NB : 1 3 3 3 20
NX : 1 0 5 9 1
RANK: 30 50 90
Routines pass computational tests if test ratio is less than 30.00
Relative machine underflow is taken to be 0.222507-307
Relative machine overflow is taken to be 0.179769+309
Relative machine precision is taken to be 0.111022D-15
ZGE routines passed the tests of the error exits
All tests for ZGE routines passed the threshold ( 3653 tests run)
ZGE drivers passed the tests of the error exits
All tests for ZGE drivers passed the threshold ( 5748 tests run)
ZGB routines passed the tests of the error exits
All tests for ZGB routines passed the threshold ( 28938 tests run)
ZGB drivers passed the tests of the error exits
All tests for ZGB drivers passed the threshold ( 36567 tests run)
ZGT routines passed the tests of the error exits
All tests for ZGT routines passed the threshold ( 2694 tests run)
ZGT drivers passed the tests of the error exits
All tests for ZGT drivers passed the threshold ( 2033 tests run)
ZPO routines passed the tests of the error exits
All tests for ZPO routines passed the threshold ( 1628 tests run)
ZPO drivers passed the tests of the error exits
All tests for ZPO drivers passed the threshold ( 1910 tests run)
ZPS routines passed the tests of the error exits
All tests for ZPS routines passed the threshold ( 150 tests run)
ZPP routines passed the tests of the error exits
All tests for ZPP routines passed the threshold ( 1332 tests run)
ZPP drivers passed the tests of the error exits
All tests for ZPP drivers passed the threshold ( 1910 tests run)
ZPB routines passed the tests of the error exits
All tests for ZPB routines passed the threshold ( 3458 tests run)
ZPB drivers passed the tests of the error exits
All tests for ZPB drivers passed the threshold ( 4750 tests run)
ZPT routines passed the tests of the error exits
All tests for ZPT routines passed the threshold ( 1778 tests run)
ZPT drivers passed the tests of the error exits
All tests for ZPT drivers passed the threshold ( 788 tests run)
ZHE routines passed the tests of the error exits
All tests for ZHE routines passed the threshold ( 1846 tests run)
ZHE drivers passed the tests of the error exits
All tests for ZHE drivers passed the threshold ( 1072 tests run)
ZHR routines passed the tests of the error exits
All tests for ZHR routines passed the threshold ( 1618 tests run)
ZHR drivers passed the tests of the error exits
All tests for ZHR drivers passed the threshold ( 222 tests run)
ZHK routines passed the tests of the error exits
All tests for ZHK routines passed the threshold ( 1618 tests run)
ZHK drivers passed the tests of the error exits
All tests for ZHK drivers passed the threshold ( 222 tests run)
ZHA routines passed the tests of the error exits
All tests for ZHA routines passed the threshold ( 1320 tests run)
ZHA drivers passed the tests of the error exits
All tests for ZHA drivers passed the threshold ( 148 tests run)
ZH2 routines passed the tests of the error exits
All tests for ZH2 routines passed the threshold ( 666 tests run)
ZH2 drivers passed the tests of the error exits
All tests for ZH2 drivers passed the threshold ( 74 tests run)
ZSA routines passed the tests of the error exits
All tests for ZSA routines passed the threshold ( 1320 tests run)
ZSA drivers passed the tests of the error exits
All tests for ZSA drivers passed the threshold ( 148 tests run)
ZS2 routines passed the tests of the error exits
All tests for ZS2 routines passed the threshold ( 666 tests run)
ZH2 drivers passed the tests of the error exits
All tests for ZH2 drivers passed the threshold ( 74 tests run)
ZHP routines passed the tests of the error exits
All tests for ZHP routines passed the threshold ( 1404 tests run)
ZHP drivers passed the tests of the error exits
All tests for ZHP drivers passed the threshold ( 1072 tests run)
ZSY routines passed the tests of the error exits
All tests for ZSY routines passed the threshold ( 2122 tests run)
ZSY drivers passed the tests of the error exits
All tests for ZSY drivers passed the threshold ( 1240 tests run)
ZSR routines passed the tests of the error exits
All tests for ZSR routines passed the threshold ( 1822 tests run)
ZSR drivers passed the tests of the error exits
All tests for ZSR drivers passed the threshold ( 258 tests run)
ZSK routines passed the tests of the error exits
All tests for ZSK routines passed the threshold ( 1822 tests run)
ZSK drivers passed the tests of the error exits
All tests for ZSK drivers passed the threshold ( 258 tests run)
ZSP routines passed the tests of the error exits
All tests for ZSP routines passed the threshold ( 1620 tests run)
ZSP drivers passed the tests of the error exits
All tests for ZSP drivers passed the threshold ( 1240 tests run)
ZTR routines passed the tests of the error exits
All tests for ZTR routines passed the threshold ( 7672 tests run)
ZTP routines passed the tests of the error exits
All tests for ZTP routines passed the threshold ( 7392 tests run)
ZTB routines passed the tests of the error exits
All tests for ZTB routines passed the threshold ( 19888 tests run)
ZQR routines passed the tests of the error exits
All tests for ZQR routines passed the threshold ( 42840 tests run)
ZRQ routines passed the tests of the error exits
All tests for ZRQ routines passed the threshold ( 28784 tests run)
ZLQ routines passed the tests of the error exits
All tests for ZLQ routines passed the threshold ( 28784 tests run)
ZQL routines passed the tests of the error exits
All tests for ZQL routines passed the threshold ( 28784 tests run)
All tests for ZQ3 routines passed the threshold ( 4410 tests run)
ZTZ routines passed the tests of the error exits
All tests for ZTZ routines passed the threshold ( 252 tests run)
ZLS routines passed the tests of the error exits
All tests for ZLS drivers passed the threshold ( 105840 tests run)
All tests for ZEQ routines passed the threshold
ZQT routines passed the tests of the error exits
All tests for ZQT routines passed the threshold ( 510 tests run)
ZQX routines passed the tests of the error exits
All tests for ZQX routines passed the threshold ( 1482 tests run)
ZXQ routines passed the tests of the error exits
All tests for ZXQ routines passed the threshold ( 1482 tests run)
ZTQ routines passed the tests of the error exits
All tests for ZTQ routines passed the threshold ( 510 tests run)
ZTS routines passed the tests of the error exits
All tests for ZTS routines passed the threshold ( 10800 tests run)
ZHH routines passed the tests of the error exits
All tests for ZHH routines passed the threshold ( 15900 tests run)
End of tests
Total time used = 44.01 seconds
Tests of the COMPLEX*16 LAPACK ZCGESV/ZCPOSV routines
LAPACK VERSION 3.9.0
The following parameter values will be used:
M : 0 1 2 13 17 45 78 91 101 120
132
NRHS: 1 2 15 16
Routines pass computational tests if test ratio is less than 30.00
Relative machine (single precision) underflow is taken to be 0.117549D-37
Relative machine (single precision) overflow is taken to be 0.340282D+39
Relative machine (single precision) precision is taken to be 0.596046D-07
Relative machine (double precision) underflow is taken to be 0.222507-307
Relative machine (double precision) overflow is taken to be 0.179769+309
Relative machine (double precision) precision is taken to be 0.111022D-15
ZCGESV drivers passed the tests of the error exits
All tests for ZCGESV routines passed the threshold ( 324 tests run)
ZCPOSV drivers passed the tests of the error exits
All tests for ZCPOSV routines passed the threshold ( 488 tests run)
End of tests
Total time used = 5.49 seconds
Tests of the COMPLEX*16 LAPACK RFP routines
LAPACK VERSION 3.9.0
The following parameter values will be used:
N : 0 1 2 3 5 6 10 11 50
NRHS: 1 2 15
TYPE: 1 2 3 4 5 6 7 8 9
Routines pass computational tests if test ratio is less than 30.00
Relative machine underflow is taken to be 0.222507-307
Relative machine overflow is taken to be 0.179769+309
Relative machine precision is taken to be 0.111022D-15
COMPLEX*16 RFP routines passed the tests of the error exits
All tests for ZPF drivers passed the threshold ( 2304 tests run)
All tests for ZLANHF auxiliary routine passed the threshold ( 384 tests run)
All tests for the RFP conversion routines passed ( 72 tests run)
All tests for ZTFSM auxiliary routine passed the threshold ( 7776 tests run)
All tests for ZHFRK auxiliary routine passed the threshold ( 2592 tests run)
End of tests
Total time used = 2.35 seconds
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