From: On solution and perturbation estimates for the nonlinear matrix equation \(X-A^{*}e^{X}A=I\)
\(\delta\) | Iterations allowed | Iterations performed | residual = \(\Vert X-A^{*}e^{X}A-I\Vert _{F}\) |
---|---|---|---|
1 | 1000 | Over 1000 | 3.36\(\times 10^{+02}\) |
0.1 | 1000 | Over 1000 | 5.32\(\times 10^{+00}\) |
0.01 | 1000 | Over 1000 | 8.37 \(\times 10^{-02}\) |
0.001 | 1000 | 1 | 2.03 \(\times 10^{-12}\) |