Two iteration processes for computing positive definite solutions of the equation X-A*X-nA = Q

被引：16
作者：
El-Sayed, SM [1 ]
机构：
[1] Benha Univ, Dept Math, Benha 13518, Egypt
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2001年 / 41卷 / 5-6期
关键词：
nonlinear matrix equations; iterative methods; positive definite solutions;
D O I：
10.1016/S0898-1221(00)00301-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present paper, we suggest two iteration methods for obtaining positive definite solutions of nonlinear matrix equation X-A*X(-n)A = Q, for the integer n greater than or equal to 1. We obtain sufficient conditions for existence of the solutions for the matrix equation. Finally some numerical examples to illustrate the effectiveness of the algorithms and some remarks. (C) 2001 Elsevier Science Ltd. All rights reserved.
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页码：579 / 588
页数：10
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