Skip to main content

Table 1 Numerical results for the different values of k.

From: On the perturbation analysis of the maximal solution for the matrix equation \( X-\overset{m}{\sum \limits_{i=1}}{A}_i^{\ast}\kern0.1em {X}^{-1}\kern0.1em {A}_i+\sum \limits_{j=1}^n{B}_j^{\ast}\kern0.1em {X}^{-1}\kern0.1em {B}_j=I \)

The perturbation boundsValue of k
23456
\( \frac{\left\Vert\;{\tilde{X}}_L-{X}_L\right\Vert }{\left\Vert \kern0.24em {X}_L\right\Vert } \)1.1307 × 10−2  1.2043 × 10−3  1.2116 × 10−4  1.2123 × 10−5  1.2124 × 10−6
\( \frac{S_{err}}{\left\Vert \kern0.24em {X}_L\right\Vert } \)4.6564 × 10−2  3.9301 × 10−3   3.863 × 10−4  3.8564 × 10−5 3.8557 × 10−6