PERTURBATION ANALYSIS FOR THE POSITIVE DEFINITE SOLUTION OF THE NONLINEAR MATRIX EQUATION $X-\sum^m_{i=1}A^{\ast}_iX^{\delta_i}A_i=Q$
Xuefeng Duan, Qing‐Wen Wang, LI Chun-mei · Journal of applied mathematics & informatics · 2012
Based on the elegant properties of the spectral norm and Thompson metric, we firstly give two perturbation estimates for the positive definite solution of the nonlinear matrix equation which arises in an optimal interpolation problem.