Perturbation Analysis of the Nonlinear Matrix Equation 𝑋−∑^𝑚_𝑖=1𝐴^∗_𝑖𝑋^𝑝𝑖𝐴_𝑖=𝑄

Table 2

Perturbation bounds for Example 15 with different values of 𝑗.

𝑗	4	5	6	7
𝑋−𝑋/‖𝑋‖	2.5627×10^−5	3.8447×10^−6	5.1681×10^−7	2.1776×10^−8
𝜉1	2.1885×10^−4	1.9891×10^−5	2.4026×10^−6	1.8251×10^−7
𝜉2	8.0828×10^−5	7.4741×10^−6	8.8011×10^−7	6.9496×10^−8