摘要：The paper deals with the existing methods for estimating the sensitivity of the solution to the nonlinear matrix equation X s ± A*X t A = Q, with s and t – real numbers. The perturbation bounds for the complex matrix equation proposed by Yin, Liu, Fang in [9] and Yin, Liu in [8], when s is a positive and t is a negative integers and by Li, Zhang in [6], when s=1, t ∈[−1, 0) , as well as the estimates proposed by Jia, Wei in [4] for the real equation with s and t – non negative integers and the perturbation bounds proposed by Konstantinov et al. in [5] for the real and complex equation with s and t real numbers are considered. The effectiveness and the reliability of the perturbation bounds are analysed by several numerical examples with reference models based on Example 1 from [3] and Example 2 from [2].
