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

Table 3

Backward error bound for Example 16 with different values of 𝑘.

𝑘	8	10	12	14
𝑋𝑘−𝑋	6.1091×10^−4	4.0865×10^−5	2.6837×10^−6	1.7372×10^−7
𝜇𝑅(𝑋𝑘)	7.1435×10^−4	4.7784×10^−5	3.1381×10^−6	2.0318×10^−7