摘要：We analyse and compare the effectiveness and the accuracy of the existing methods for estimating the sensitivity of the solution to the nonlinear matrix equations X ± A*X −1A = Q. Object of the analysis are the perturbation bounds concerning equations X ± A*X −1A = Q , as well as the methods related to the estimation of the sensitivity of the solution to the equations X s ± A*X −t A = Q for the particular case, when s = 1, t = 1. We examine the behaviour and the reliability of the bounds, proposed in nine sources, through experiments with nine non-trivial numerical examples in both real and complex cases.
