Table 1: Eigenvalues of H12 by Modified Newton Method
| Eigenvalues | Eigenvalues of H | ∥ ( H − a k I ) X k ∥ 2 |
| 1st | 1.7953720595620 | 4.5163365159057D-17 |
| 2nd | 0.38027524595504 | 9.5107769421299D-17 |
| 3rd | 4.4738548752D-02 | 9.3288777118150D-17 |
| 4th | 3.7223122378D-03 | 9.5107769421299D-17 |
| 5th | 2.3308908902D-04 | 6.5092594645258D-17 |
| 6th | 1.1163357483D-05 | 6.6374428417771D-17 |
| 7th | 4.0823761104D-07 | 1.9236667674542D-16 |
| 8th | 1.1228610666D-08 | 4.9553614188006D-17 |
| 9th | 2.2519644461D-10 | 6.0015952254039D-17 |
| 10th | 3.1113405079D-12 | 6.5125904614112D-17 |
| 11th | 2.6487505785D-14 | 1.0932505712948D-16 |
| 12th | 1.1161909467D-16 | 6.0015952254039D-17 |