The Hermitian Positive Definite Solution of Matrix Equations X+A*X-1A=I

被引：0
作者：
Li, Hongkui [1 ]
Zhao, Wenling [1 ]
Liu, Xueting
Wang, Peng
机构：
[1] Shandong Univ Technol, Coll Sci, Zibo 255049, Shandong, Peoples R China
来源：
PROCEEDINGS OF THE SECOND INTERNATIONAL CONFERENCE ON MODELLING AND SIMULATION (ICMS2009), VOL 6 | 2009年
关键词：
matrix equation; Hermitian positive definite solutions; iterative method; EXISTENCE; ITERATION;
D O I：
暂无
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper, the Hermitian positive definite solutions of the nonlinear matrix equation X + A*X-1 A = I are studied. We present some necessary and sufficient conditions for the existence of a Hermitian positive definite solution of this equation. And based on the necessary and sufficient conditions, some properties and the equivalent equations of X + A*X(-1)A = I are given when the matrix equation has a Hermitian positive definite solution.
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页码：535 / +
页数：3
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