Created
November 12, 2013 21:49
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| A | |
| A = | |
| 5 -1 0 0 | |
| -1 5 -1 0 | |
| 0 -1 5 -1 | |
| 0 0 -1 5 | |
| sigma = 5; | |
| A - sigma | |
| ans = | |
| 0 -6 -5 -5 | |
| -6 0 -6 -5 | |
| -5 -6 0 -6 | |
| -5 -5 -6 0 | |
| [Q, R] = qr(A - sigma) | |
| Q = | |
| 0 -0.7631 0.5098 -0.3973 | |
| 0.6470 0.4880 0.3893 -0.4378 | |
| 0.5392 -0.3564 -0.7232 -0.2435 | |
| 0.5392 -0.2292 0.2561 0.7689 | |
| R = | |
| -9.2736 -5.9308 -7.1170 -6.4700 | |
| 0 7.8629 2.2626 3.5137 | |
| 0 0 -6.4210 -0.1563 | |
| 0 0 0 5.6364 | |
| R * Q | |
| ans = | |
| -11.1628 8.2017 -3.5462 3.0389 | |
| 8.2017 2.2254 2.3243 -1.2920 | |
| -3.5462 2.3243 4.6036 1.4433 | |
| 3.0389 -1.2920 1.4433 4.3338 | |
| R * Q + sigma | |
| ans = | |
| -6.1628 13.2017 1.4538 8.0389 | |
| 13.2017 7.2254 7.3243 3.7080 | |
| 1.4538 7.3243 9.6036 6.4433 | |
| 8.0389 3.7080 6.4433 9.3338 | |
| diary off |
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