We consider the perturbation analysis of the matrix equation . Based on the matrix differentiation, we first give a precise perturbation boundfor the positive definite solution. A numerical example is presented to illustrate the sharpnessof the perturbation bound.
Xue-Feng Duan. Qing-Wen Wang. "Perturbation Analysis for the Matrix Equation ." J. Appl. Math. 2012 (SI01) 1 - 13, 2012. https://doi.org/10.1155/2012/784620