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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"ExecuteTime": {
"end_time": "2018-03-31T13:59:17.412191Z",
"start_time": "2018-03-31T13:59:17.278382Z"
},
"collapsed": true
},
"outputs": [],
"source": [
"from scipy.optimize import (minimize, NonlinearConstraint, \n",
" LinearConstraint, Bounds)\n",
"import pycutestmgr as cute\n",
"import time\n",
"import numpy as np\n",
"from numpy.linalg import norm\n",
"import scipy.sparse as spc\n",
"import warnings\n",
"cute.clearCache('HS71')"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"ExecuteTime": {
"end_time": "2018-03-31T13:59:17.428574Z",
"start_time": "2018-03-31T13:59:17.418063Z"
},
"collapsed": true
},
"outputs": [],
"source": [
"def print_header():\n",
" print(\"|{0:^10}|{1:^5}|{2:^5}|{3:^6}|{4:^10}|{5:^10}|{6:^10}|{7:^10}|{8:^10}|{9:^10}|\"\n",
" .format(\"name\", \"n\", \"m\", \"nnz\", \"niters\", \"f evals\", \"CG iters\", \"time\", \"opt\", \"c viol\"))\n",
" s = \"-\"*9 + \":\"\n",
" s1 = \"-\"*4 + \":\"\n",
" s2 = \":\" + \"-\"*23 + \":\"\n",
" s3 = \"-\"*5 + \":\"\n",
" print(\"|{0:^10}|{1:^5}|{2:^5}|{3:^6}|{4:^10}|{5:^10}|{6:^10}|{7:^10}|{8:^10}|{9:^10}|\"\n",
" .format(s, s1, s1, s3, s, s, s, s, s, s, s2, s))\n",
"\n",
"def print_problem_sol(name, n, m, nnz, niters, nfev, cg_niters, time, opt, c_viol, method):\n",
" print(\"|{0:^10}|{1:^5}|{2:^5}|{3:^6}|{4:^10}|{5:^10}|{6:^10}|{7:^10}|{8:^1.4e}|{9:^1.4e}|\"\n",
" .format(name, n, m, nnz, niters, nfev, cg_niters, round(time, 2), opt, c_viol))"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"ExecuteTime": {
"end_time": "2018-03-31T13:59:17.548982Z",
"start_time": "2018-03-31T13:59:17.433358Z"
},
"collapsed": true
},
"outputs": [],
"source": [
"default_options = {'sparse_jacobian':True, 'maxiter':1000, 'xtol':1e-7, 'gtol':1e-7}\n",
"list_feasible_box_constr = [\"HS13\", \"HS105\", \"BROYDNBD\"]\n",
"\n",
"def solve_problem(prob):\n",
" name = prob[0]\n",
" sifParams = prob[1]\n",
" options = prob[2] \n",
" options = prob[2].copy()\n",
" options.update(default_options)\n",
" cute.clearCache(name)\n",
" cute.prepareProblem(name, sifParams=sifParams)\n",
" problem = cute.importProblem(name)\n",
" info = problem.getinfo()\n",
" x0 = info[\"x\"]\n",
" n = info[\"n\"]\n",
" m = info[\"m\"]\n",
" nnz = info[\"nnzj\"]\n",
" v0 = info[\"v\"]\n",
" eq_list = info[\"equatn\"]\n",
"\n",
" def convert_to_inf(bounds):\n",
" new_bounds = np.zeros_like(bounds)\n",
" i = 0\n",
" for b in bounds:\n",
" if b >= 1e20:\n",
" new_bounds[i] = np.inf\n",
" elif b <= -1e20:\n",
" new_bounds[i] = -np.inf\n",
" else:\n",
" new_bounds[i] = b\n",
" i += 1\n",
" return new_bounds\n",
"\n",
" # Define upper and lower bound\n",
" c_lb = convert_to_inf(info[\"cl\"])\n",
" c_ub = convert_to_inf(info[\"cu\"])\n",
" lb = convert_to_inf(info[\"bl\"])\n",
" ub = convert_to_inf(info[\"bu\"])\n",
" if name in list_feasible_box_constr:\n",
" x0 = np.maximum(lb+1e-10, np.minimum(ub-1e-10, x0))\n",
"\n",
" # Define function and constraints\n",
" def fun(x):\n",
" return problem.obj(x)[0]\n",
"\n",
" def grad(x):\n",
" _, g1 = problem.obj(x, True)\n",
" return g1\n",
"\n",
" def lagr_hess(x, v):\n",
" def matvec(p):\n",
" return problem.hprod(p, x, v)\n",
" return spc.linalg.LinearOperator((n, n), matvec=matvec)\n",
"\n",
"\n",
" def constr(x):\n",
" return problem.cons(x)\n",
"\n",
" def jac(x):\n",
" _, A1 = problem.cons(x, True)\n",
" return spc.csc_matrix(A1)\n",
" \n",
" def hess(x):\n",
" return spc.csc_matrix((n, n))\n",
"\n",
"\n",
" # Constraints\n",
" constr = NonlinearConstraint(constr, c_lb, c_ub, jac, lagr_hess)\n",
" box = Bounds(lb, ub, name in list_feasible_box_constr)\n",
"\n",
" start_time = time.time()\n",
" with warnings.catch_warnings():\n",
" warnings.simplefilter(\"ignore\")\n",
" result = minimize(fun, x0, method='trust-constr', jac=grad, hess=hess, constraints=constr, \n",
" bounds=box, options=options)\n",
" total_time = time.time() - start_time\n",
" # Print Results\n",
" print_problem_sol(name, n, m, nnz, result.niter, result.nfev,\n",
" result.cg_niter, total_time, result.optimality, \n",
" result.constr_violation, result.method)\n",
" return result"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"ExecuteTime": {
"end_time": "2018-03-31T13:59:17.681248Z",
"start_time": "2018-03-31T13:59:17.550107Z"
},
"collapsed": true
},
"outputs": [],
"source": [
"ip_problems = [(\"CORKSCRW\", {\"T\": 50}, {}), \n",
" (\"COSHFUN\", {\"M\": 20}, {\"initial_barrier_parameter\": 0.1, \"initial_tr_radius\": 5,\"initial_barrier_tolerance\":1, \"initial_constr_penalty\":0.01}),\n",
" (\"DIXCHLNV\", {\"N\":100}, {}),\n",
" (\"HAGER4\", {\"N\": 1000}, {}),\n",
" (\"HIMMELBK\", {}, {}),\n",
" (\"NGONE\", {\"HNS\": 49}, {\"initial_tr_radius\": 100}), # many iteractions\n",
" (\"OPTCNTRL\", {}, {}), \n",
" (\"OPTMASS\", {\"N\": 200}, {}),\n",
" (\"ORTHREGF\", {\"NPTS\": 20}, {}),\n",
" (\"SVANBERG\", {\"N\": 500}, {}), \n",
" (\"READING1\", {\"N\": 100}, {})]\n",
"\n",
"problems_si = [(\"HS7\", {}, {}),\n",
" (\"HS10\", {}, {}),\n",
" (\"HS11\", {}, {}),\n",
" (\"HS13\", {}, {}),\n",
" (\"HS14\", {}, {}),\n",
" (\"HS16\", {}, {}),\n",
" (\"HS17\", {}, {}),\n",
" (\"HS19\", {}, {}),\n",
" (\"HS20\", {}, {}),\n",
" (\"HS22\", {}, {}),\n",
" (\"HS24\", {}, {}),\n",
" (\"HS26\", {}, {}),\n",
" (\"HS28\", {}, {}),\n",
" (\"HS31\", {}, {}),\n",
" (\"HS32\", {}, {}),\n",
" (\"HS33\", {}, {}),\n",
" (\"HS39\", {}, {}),\n",
" (\"HS46\", {}, {}),\n",
" (\"HS51\", {}, {\"initial_barrier_parameter\": 0.1, \"initial_tr_radius\": 1,\"initial_barrier_tolerance\":0.1, \"initial_constr_penalty\":1}),\n",
" (\"HS52\", {}, {}),\n",
" (\"HS53\", {}, {}),\n",
" (\"HS63\", {}, {}),\n",
" (\"HS64\", {}, {}),\n",
" (\"HS65\", {}, {}),\n",
" (\"HS70\", {}, {}),\n",
" (\"HS71\", {}, {}),\n",
" (\"HS72\", {}, {}),\n",
" (\"HS73\", {}, {}),\n",
" (\"HS74\", {}, {}),\n",
" (\"HS75\", {}, {}),\n",
" (\"HS77\", {}, {}),\n",
" (\"HS78\", {}, {}),\n",
" (\"HS79\", {}, {}),\n",
" (\"HS80\", {}, {}),\n",
" (\"HS81\", {}, {}),\n",
" (\"HS83\", {}, {}),\n",
" (\"HS84\", {}, {}),\n",
" (\"HS85\", {}, {\"initial_barrier_parameter\": 0.001}),\n",
" (\"HS86\", {}, {}),\n",
" (\"HS93\", {}, {}),\n",
" (\"HS95\", {}, {}),\n",
" (\"HS96\", {}, {}),\n",
" (\"HS97\", {}, {\"initial_barrier_parameter\": 100}),\n",
" (\"HS98\", {}, {\"initial_barrier_parameter\": 100}),\n",
" (\"HS99\", {}, {}), # Fails (As in the original paper)\n",
" (\"HS100\", {}, {}),\n",
" (\"HS104\", {}, {\"initial_barrier_parameter\": 100}),\n",
" (\"HS105\", {}, {}),\n",
" (\"HS106\", {}, {}),\n",
" (\"HS107\", {}, {}),\n",
" (\"HS108\", {}, {}),\n",
" (\"HS109\", {}, {}),\n",
" (\"HS111\", {}, {}),\n",
" (\"HS112\", {}, {\"initial_barrier_parameter\": 10}),\n",
" (\"HS113\", {}, {}),\n",
" (\"HS114\", {}, {\"initial_barrier_parameter\": 10}),\n",
" (\"HS116\", {}, {}),\n",
" (\"HS117\", {}, {}),\n",
" (\"HS118\", {}, {}),\n",
" (\"HS119\", {}, {})]\n",
"sqp_problems = [(\"HAGER2\", {\"N\": 5000}, {}),\n",
" (\"HAGER3\", {\"N\": 5000}, {}),\n",
" (\"ORTHREGA\", {'LEVELS': 5}, {}),\n",
" (\"ORTHREGC\", {'NPTS': 500}, {}),\n",
" (\"ORTHREGD\", {'NPTS': 5000}, {\"initial_tr_radius\": 100,\"initial_constr_penalty\":1}),\n",
" (\"DTOC1ND\", {'N': 500, 'NX':2, 'NY':4}, {\"initial_tr_radius\": 1000, \"initial_constr_penalty\":1}),\n",
" (\"DTOC2\", {'N': 500, 'NX':2, 'NY':4}, {}),\n",
" (\"DTOC3\", {}, {}),\n",
" (\"DTOC4\", {'N': 5000}, {}),\n",
" (\"DTOC5\", {'N': 5000}, {}),\n",
" (\"DTOC6\", {'N': 1001}, {}),\n",
" (\"EIGENA2\", {'N': 50}, {}),\n",
" (\"EIGENC2\", {'M': 10}, {}),\n",
" (\"ARTIF\", {'N': 1000}, {}),\n",
" (\"BRATU3D\", {'P':17}, {}),\n",
" ]\n",
"\n",
"other = [(\"HS109\", {}, {}),]"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"ExecuteTime": {
"end_time": "2018-03-31T14:00:11.698792Z",
"start_time": "2018-03-31T13:59:17.683144Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"| name | n | m | nnz | niters | f evals | CG iters | time | opt | c viol |\n",
"|---------:|----:|----:|-----:|---------:|---------:|---------:|---------:|---------:|---------:|\n",
"| HS7 | 2 | 1 | 2 | 9 | 9 | 8 | 0.02 |1.7663e-15|2.6645e-14|\n",
"| HS10 | 2 | 1 | 2 | 15 | 12 | 16 | 0.05 |1.2104e-08|0.0000e+00|\n",
"| HS11 | 2 | 1 | 2 | 12 | 8 | 11 | 0.04 |5.9848e-09|0.0000e+00|\n",
"| HS13 | 2 | 1 | 2 | 1 | 1 | 0 | 0.01 |1.0000e-11|0.0000e+00|\n",
"| HS14 | 2 | 2 | 4 | 10 | 7 | 6 | 0.04 |2.5894e-09|2.2204e-16|\n",
"| HS16 | 2 | 2 | 4 | 13 | 10 | 13 | 0.05 |1.6644e-08|0.0000e+00|\n",
"| HS17 | 2 | 2 | 4 | 25 | 21 | 31 | 0.12 |2.5942e-08|0.0000e+00|\n",
"| HS19 | 2 | 2 | 4 | 36 | 34 | 36 | 0.14 |1.1693e-09|0.0000e+00|\n",
"| HS20 | 2 | 3 | 6 | 10 | 8 | 9 | 0.04 |1.7323e-08|0.0000e+00|\n",
"| HS22 | 2 | 2 | 4 | 14 | 10 | 10 | 0.04 |3.6337e-08|0.0000e+00|\n",
"| HS24 | 2 | 3 | 6 | 11 | 7 | 6 | 0.03 |4.2946e-08|0.0000e+00|\n",
"| HS26 | 3 | 1 | 3 | 22 | 22 | 41 | 0.07 |1.2174e-10|4.9481e-08|\n",
"| HS28 | 3 | 1 | 3 | 3 | 3 | 3 | 0.01 |9.8334e-16|4.4409e-16|\n",
"| HS31 | 3 | 1 | 2 | 12 | 8 | 18 | 0.05 |2.9458e-08|0.0000e+00|\n",
"| HS32 | 3 | 2 | 6 | 15 | 10 | 12 | 0.06 |8.7322e-08|0.0000e+00|\n",
"| HS33 | 3 | 2 | 6 | 17 | 16 | 17 | 0.06 |1.8812e-08|0.0000e+00|\n",
"| HS39 | 4 | 2 | 6 | 16 | 16 | 18 | 0.04 |1.3941e-11|3.9848e-12|\n",
"| HS46 | 5 | 2 | 6 | 29 | 49 | 70 | 0.08 |9.4806e-08|3.3307e-16|\n",
"| HS51 | 5 | 3 | 7 | 3 | 3 | 3 | 0.01 |4.0993e-16|0.0000e+00|\n",
"| HS52 | 5 | 3 | 7 | 3 | 3 | 3 | 0.01 |1.3767e-14|4.4409e-16|\n",
"| HS53 | 5 | 3 | 7 | 17 | 9 | 9 | 0.06 |8.8678e-08|0.0000e+00|\n",
"| HS63 | 3 | 2 | 6 | 13 | 8 | 7 | 0.04 |1.2935e-09|1.6548e-08|\n",
"| HS64 | 3 | 1 | 3 | 34 | 30 | 53 | 0.11 |2.2107e-09|0.0000e+00|\n",
"| HS65 | 3 | 1 | 3 | 22 | 17 | 32 | 0.08 |2.7051e-09|0.0000e+00|\n",
"| HS70 | 4 | 1 | 2 | 46 | 48 | 87 | 0.19 |3.6633e-08|0.0000e+00|\n",
"| HS71 | 4 | 2 | 8 | 17 | 13 | 21 | 0.08 |6.1559e-09|6.0423e-08|\n",
"| HS72 | 4 | 2 | 8 | 26 | 21 | 41 | 0.11 |6.8264e-12|0.0000e+00|\n",
"| HS73 | 4 | 3 | 12 | 18 | 14 | 23 | 0.07 |4.3877e-11|9.0206e-17|\n",
"| HS74 | 4 | 5 | 12 | 18 | 12 | 11 | 0.08 |5.9282e-12|2.2775e-09|\n",
"| HS75 | 4 | 5 | 12 | 102 | 100 | 99 | 0.56 |2.5834e-08|1.7468e-08|\n",
"| HS77 | 5 | 2 | 6 | 18 | 20 | 34 | 0.05 |6.3707e-08|3.7303e-14|\n",
"| HS78 | 5 | 3 | 11 | 5 | 5 | 4 | 0.01 |7.5462e-11|6.1410e-11|\n",
"| HS79 | 5 | 3 | 8 | 7 | 7 | 12 | 0.02 |1.7792e-11|1.2566e-11|\n",
"| HS80 | 5 | 3 | 11 | 17 | 10 | 8 | 0.06 |5.5397e-12|7.7953e-10|\n",
"| HS81 | 5 | 3 | 11 | 17 | 10 | 8 | 0.06 |5.5391e-12|7.7954e-10|\n",
"| HS83 | 5 | 3 | 13 | 42 | 39 | 73 | 0.21 |3.6121e-08|0.0000e+00|\n",
"| HS84 | 5 | 3 | 15 | 12 | 11 | 24 | 0.06 |4.2925e-08|0.0000e+00|\n",
"| HS85 | 5 | 21 | 102 | 133 | 237 | 136 | 0.71 |8.5643e-08|0.0000e+00|\n",
"| HS86 | 5 | 10 | 37 | 16 | 12 | 29 | 0.05 |3.3449e-08|0.0000e+00|\n",
"| HS93 | 6 | 2 | 12 | 22 | 16 | 55 | 0.09 |4.7860e-09|0.0000e+00|\n",
"| HS95 | 6 | 4 | 20 | 167 | 165 | 168 | 0.5 |2.0541e-08|0.0000e+00|\n",
"| HS96 | 6 | 4 | 20 | 213 | 219 | 219 | 0.61 |3.6676e-08|0.0000e+00|\n",
"| HS97 | 6 | 4 | 20 | 539 | 537 | 582 | 1.61 |2.1298e-08|0.0000e+00|\n",
"| HS98 | 6 | 4 | 20 | 385 | 393 | 563 | 1.18 |2.2296e-08|0.0000e+00|\n",
"| HS99 | 7 | 2 | 14 | 86 | 149 | 158 | 0.18 |1.4264e-04|2.9104e-11|\n",
"| HS100 | 7 | 4 | 19 | 20 | 16 | 62 | 0.07 |4.1090e-08|0.0000e+00|\n",
"| HS104 | 8 | 5 | 17 | 43 | 36 | 138 | 0.22 |3.9791e-08|0.0000e+00|\n",
"| HS105 | 8 | 1 | 2 | 56 | 51 | 137 | 0.32 |3.4738e-08|0.0000e+00|\n",
"| HS106 | 8 | 6 | 17 | 261 | 288 | 319 | 0.91 |2.5370e-08|0.0000e+00|\n",
"| HS107 | 9 | 6 | 34 | 12 | 10 | 19 | 0.05 |3.9453e-08|1.4591e-10|\n",
"| HS108 | 9 | 13 | 39 | 57 | 64 | 91 | 0.19 |5.3699e-08|0.0000e+00|\n",
"| HS109 | 9 | 10 | 42 | 1001 | 1000 | 1397 | 5.18 |2.5217e-05|4.4237e+04|\n",
"| HS111 | 10 | 3 | 14 | 27 | 20 | 47 | 0.1 |3.4073e-08|8.4907e-12|\n",
"| HS112 | 10 | 3 | 14 | 37 | 30 | 67 | 0.12 |1.2737e-08|5.5511e-17|\n",
"| HS113 | 10 | 8 | 32 | 33 | 26 | 98 | 0.13 |7.7740e-12|0.0000e+00|\n",
"| HS114 | 10 | 11 | 31 | 86 | 80 | 271 | 0.45 |5.3934e-08|4.5475e-13|\n",
"| HS116 | 13 | 14 | 43 | 131 | 152 | 398 | 0.59 |4.5874e-08|0.0000e+00|\n",
"| HS117 | 15 | 5 | 62 | 28 | 23 | 84 | 0.11 |1.8678e-08|0.0000e+00|\n",
"| HS118 | 15 | 17 | 39 | 55 | 51 | 144 | 0.29 |5.3903e-08|0.0000e+00|\n",
"| HS119 | 16 | 8 | 53 | 24 | 20 | 78 | 0.12 |1.7284e-08|5.5511e-16|\n"
]
}
],
"source": [
"# Print Header\n",
"print_header()\n",
"# Print Table\n",
"for prob in problems_si:\n",
" solve_problem(prob)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"ExecuteTime": {
"end_time": "2018-03-31T14:00:55.084212Z",
"start_time": "2018-03-31T14:00:11.699911Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"| name | n | m | nnz | niters | f evals | CG iters | time | opt | c viol |\n",
"|---------:|----:|----:|-----:|---------:|---------:|---------:|---------:|---------:|---------:|\n",
"| CORKSCRW | 456 | 350 | 1050 | 54 | 48 | 157 | 0.47 |9.1948e-09|5.2552e-13|\n",
"| COSHFUN | 61 | 20 | 118 | 33 | 31 | 242 | 0.16 |7.8148e-08|0.0000e+00|\n",
"| DIXCHLNV | 100 | 50 | 2550 | 34 | 25 | 249 | 0.28 |2.2829e-08|5.5511e-16|\n",
"| HAGER4 |2001 |1000 | 3000 | 40 | 31 | 194 | 1.17 |6.7160e-08|1.9438e-12|\n",
"| HIMMELBK | 24 | 14 | 336 | 89 | 96 | 90 | 0.24 |3.1748e-09|6.5024e-09|\n",
"| NGONE | 100 |1273 | 4996 | 291 | 519 | 773 | 29.01 |9.5064e-08|3.6803e-21|\n",
"| OPTCNTRL | 32 | 20 | 70 | 64 | 55 | 71 | 0.28 |1.4211e-14|7.8486e-08|\n",
"| OPTMASS |1210 |1005 | 3216 | 148 | 260 | 139 | 2.25 |2.5807e-08|1.4572e-16|\n",
"| ORTHREGF |1205 | 400 | 3200 | 37 | 30 | 45 | 1.07 |3.0486e-08|5.7454e-14|\n",
"| SVANBERG | 500 | 500 | 4500 | 34 | 27 | 1293 | 1.37 |2.3870e-08|0.0000e+00|\n",
"| READING1 | 202 | 100 | 400 | 37 | 52 | 30 | 0.2 |3.1349e-09|8.3219e-08|\n"
]
}
],
"source": [
"# Print Header\n",
"print_header()\n",
"# Print Table\n",
"for prob in ip_problems:\n",
" solve_problem(prob)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"ExecuteTime": {
"end_time": "2018-03-31T14:03:01.254627Z",
"start_time": "2018-03-31T14:00:55.085296Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"| name | n | m | nnz | niters | f evals | CG iters | time | opt | c viol |\n",
"|---------:|----:|----:|-----:|---------:|---------:|---------:|---------:|---------:|---------:|\n",
"| HAGER2 |10001|5000 |15000 | 7 | 7 | 6 | 5.19 |1.6947e-08|1.8914e-12|\n",
"| HAGER3 |10001|5000 |15000 | 7 | 7 | 6 | 5.18 |6.2766e-08|1.8369e-12|\n",
"| ORTHREGA |2053 |1024 | 7168 | 73 | 113 | 178 | 10.32 |1.5134e-08|2.0262e-15|\n",
"| ORTHREGC |1005 | 500 | 3500 | 42 | 66 | 81 | 0.78 |8.8626e-08|8.1001e-16|\n",
"| ORTHREGD |10003|5000 |25000 | 16 | 16 | 16 | 52.55 |6.5561e-08|7.1054e-13|\n",
"| DTOC1ND |2998 |1996 |13972 | 17 | 15 | 28 | 1.24 |7.4098e-08|2.2138e-13|\n",
"| DTOC2 |2998 |1996 | 7984 | 12 | 12 | 221 | 1.27 |3.8127e-08|6.5081e-12|\n",
"| DTOC3 |4499 |2998 |10493 | 10 | 10 | 9 | 2.2 |1.1603e-08|1.7461e-15|\n",
"| DTOC4 |14999|9998 |34993 | 7 | 7 | 6 | 18.29 |2.8176e-08|6.5436e-12|\n",
"| DTOC5 |9999 |4999 |14997 | 9 | 9 | 8 | 8.07 |2.9281e-08|2.0709e-12|\n",
"| DTOC6 |2001 |1000 | 3000 | 19 | 19 | 38 | 0.52 |2.8538e-08|8.0491e-16|\n",
"| EIGENA2 |2550 |1275 |125000| 5 | 5 | 4 | 0.38 |2.8422e-14|0.0000e+00|\n",
"| EIGENC2 | 462 | 231 | 9261 | 29 | 36 | 295 | 0.44 |7.0736e-08|4.4869e-16|\n",
"| ARTIF |1002 |1000 | 3000 | 11 | 11 | 0 | 0.16 |0.0000e+00|4.9495e-10|\n",
"| BRATU3D |4913 |3375 |23625 | 6 | 6 | 0 | 6.15 |0.0000e+00|1.7761e-10|\n"
]
}
],
"source": [
"# Print Header\n",
"print_header()\n",
"# Print Table\n",
"for prob in sqp_problems:\n",
" solve_problem(prob)"
]
}
],
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