Consider the nonlinear matrix equation with . Two perturbation bounds and the backward error of an approximate solution to the equation are derived. Explicit expressions of the condition number for the equation are obtained. The theoretical results are illustrated by numerical examples.
"Perturbation Analysis of the Nonlinear Matrix Equation ." Abstr. Appl. Anal. 2013 (SI33) 1 - 11, 2013. https://doi.org/10.1155/2013/979832