摘要
研究非线性矩阵方程X*+A*X-1A=Q,其中A,Q为复数域上的n×n阶矩阵,且Q是正定阵.主要讨论在s≥1,0<t≤1和0<s≤1,t≥1两种条件下,该非线性矩阵方程的正定解.并得到了求解该非线性矩阵方程极值解的迭代法.
In this paper, the nonlinear matrix equation X^s＋A＊X^-1A=Q are considered, where A, Q are n x n complex matrices, and Q is a Hermitian positive definite matrix. The Hermitian positive definite solutions of this matrix equation with two cases are considered ： s≥1,0〈t≤1 and 0〈s≤1,t≥1. The iterative methods for obtaining the extremal Hermitian positive definite solution of the matrix equation are derived.
出处
《哈尔滨师范大学自然科学学报》
CAS
2012年第5期19-20,共2页
Natural Science Journal of Harbin Normal University
