Perturbation analysis of the matrix equation X - \sum_{i=1}^m A_i^* X^{p_i} A_i = Q
Jing Li · arXiv (Cornell University) · 2012
Consider the nonlinear matrix equation X-sum_{i=1}^{m}A_{i}^{*}X^{p_{i}}A_{i}=Q with p_{i}>0. Sufficient and necessary conditions for the existence of positive definite solutions to the equation with p_{i}>0 are derived. Two perturbation bounds for the unique solution to the equation with 0