Abstract:<正>In Theorem 2.4 of the paper[Yang Yueting,The iterative method for solving nonlinear matrix equation X~s + A~*X~(-t)A = Q,Appl.Math.Comput., 188(2007)46-53],Yang showed that this equation has the maximal solution X_L. In this paper,we point out that Yang's result is doubtful,study the existence of the Hermitian positive definite solutions,the maximal solution and the minimal solution for the case that Q = I,and give the algorithms for finding these special solutions.
Volume:v.34
Issue:03
Translation or Not:no