From: On nonlinear matrix equations \(X\pm\sum_{i=1}^{m}A_{i}^{*}X^{-n_{i}}A_{i}=I\)
s | \(\boldsymbol{\epsilon(X_{s})}\) | \(\boldsymbol{R_{2}(X_{s})}\) | \(\boldsymbol{\lambda}_{\mathbf{min}}\boldsymbol{(I+\sum_{i=1}^{3}A_{i}^{*}A_{i}-X_{s})}\) | \(\boldsymbol{\lambda} _{\mathbf{min}}\boldsymbol{(X_{s}-I)}\) |
---|---|---|---|---|
0 | 2.10332 × 10−1 | 2.95400 × 10−1 | 0.047059 | 0 |
3 | 3.11244 × 10−2 | 4.52684 × 10−2 | 0.017503 | 0.028153 |
6 | 5.17330 × 10−3 | 8.36352 × 10−3 | 0.023078 | 0.023109 |
9 | 1.10730 × 10−3 | 1.75717 × 10−3 | 0.022155 | 0.023907 |
12 | 2.28175 × 10−4 | 3.63481 × 10−4 | 0.022341 | 0.023751 |
15 | 4.73953 × 10−5 | 7.54424 × 10−5 | 0.022303 | 0.023783 |
18 | 9.83002 × 10−6 | 1.56497 × 10−5 | 0.022311 | 0.023776 |
21 | 2.03950 × 10−6 | 3.24685 × 10−6 | 0.022309 | 0.023778 |
24 | 4.23122 × 10−7 | 6.73607 × 10−7 | 0.022310 | 0.023777 |
27 | 8.77834 × 10−8 | 1.39750 × 10−7 | 0.022310 | 0.023777 |
30 | 1.82120 × 10−8 | 2.89934 × 10−8 | 0.022310 | 0.023777 |