Table 5.
Column 1: numbering of eigenvectors. Column 2: Eigenvalues (smallest at the first row and then increasing values). Columns 3, 4 and 5: The value of the cost function J(r* + δri) where the parameter vector r* is given in Table 4 and ri denotes the i–th eigenvector. Recall that J(r*) = 0 so the table illustrates how much the cost function is changed by changing the the parameter vector along and eigenvector of the Hessian matrix.
| i | λi | δ = 10−5 | δ = 10−3 | δ = 10−1 |
|---|---|---|---|---|
| 1 | 7.579e-15 | 3.157e-25 | 5.636e-18 | 5.607e-10 |
| 2 | 1.383e-14 | 9.316e-25 | 5.074e-19 | 5.047e-11 |
| 3 | 7.361e-14 | 3.084e-24 | 2.593e-16 | 2.551e-08 |
| 4 | 1.183e-13 | 2.095e-25 | 1.081e-17 | 9.346e-10 |
| 5 | 1.209e-13 | 3.153e-24 | 1.567e-17 | 1.586e-09 |
| 6 | 1.654e-13 | 4.465e-24 | 7.279e-17 | 7.309e-09 |
| 7 | 1.038e-11 | 5.191e-22 | 6.645e-18 | 1.648e-10 |
| 8 | 1.986e-10 | 9.933e-21 | 1.017e-16 | 2.242e-10 |
| 9 | 7.319e-10 | 3.659e-20 | 3.910e-16 | 1.943e-09 |
| 10 | 7.090e-09 | 3.545e-19 | 3.563e-15 | 2.011e-09 |
| 11 | 1.482e-06 | 7.410e-17 | 7.409e-13 | 3.662e-08 |
| 12 | 3.952e-06 | 1.976e-16 | 1.974e-12 | 1.943e-08 |
| 13 | 3.712e-05 | 1.856e-15 | 1.856e-11 | 1.965e-07 |
| 14 | 1.235e-03 | 6.174e-14 | 6.170e-10 | 5.963e-06 |
| 15 | 2.294e-02 | 1.147e-12 | 1.138e-08 | 6.443e-05 |
| 16 | 3.543e-01 | 1.771e-11 | 1.769e-07 | 1.539e-03 |