Table 6.
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) | d = 10−5 | d = 10−3 | d = 10−1 |
|---|---|---|---|---|
| 1 | 1.877e-14 | 8.757e-25 | 1.573e-19 | 1.241e-11 |
| 2 | 6.364e-14 | 2.715e-24 | 2.548e-16 | 2.527e-08 |
| 3 | 1.019e-13 | 2.573e-25 | 1.708e-17 | 1.729e-09 |
| 4 | 1.043e-11 | 5.272e-22 | 2.472e-16 | 2.387e-08 |
| 5 | 2.583e-11 | 1.289e-21 | 1.553e-17 | 2.756e-10 |
| 6 | 4.020e-10 | 2.010e-20 | 2.136e-16 | 1.131e-09 |
| 7 | 1.813e-09 | 9.063e-20 | 9.112e-16 | 3.810e-10 |
| 8 | 1.714e-08 | 8.569e-19 | 8.581e-15 | 1.643e-09 |
| 9 | 2.757e-06 | 1.378e-16 | 1.380e-12 | 7.737e-08 |
| 10 | 6.225e-05 | 3.113e-15 | 3.115e-11 | 3.511e-07 |
| 11 | 2.058e-03 | 1.029e-13 | 1.028e-09 | 9.226e-06 |
| 12 | 3.346e-01 | 1.673e-11 | 1.671e-07 | 1.489e-03 |