Abstract
Consider the nonlinear matrix equation $X + A^* X^{-2}A = I$, where $A$ is an $n \times n$ complex matrix, $I$ the identity matrix and $A^*$ the conjugate transpose of the matrix $A$. In this paper a perturbation bound for a class of special solutions of this matrix equation is derived, and an explicit expression of its condition number is obtained. The results are illustrated by using some numerical examples.
Citation
Shufang Xu. Mingsong Cheng. "PERTURBATION ANALYSIS OF A NONLINEAR MATRIX EQUATION." Taiwanese J. Math. 10 (5) 1329 - 1344, 2006. https://doi.org/10.11650/twjm/1500557306
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