On the nonlinear matrix equation based on engineering calculation

被引：0

作者：

Gao, Dongjie ^{[1
]}

机构：

[1] Heze Univ, Dept Math, Heze 274015, Shandong, Peoples R China

来源：

TRENDS IN BUILDING MATERIALS RESEARCH, PTS 1 AND 2 | 2012年 / 450-451卷

关键词：

Nonlinear Matrix equation; Positive definite solution; Engineering calculation; PERTURBATION ANALYSIS;

D O I：

10.4028/www.scientific.net/AMR.450-451.158

中图分类号：

TU [建筑科学];

学科分类号：

0813 ;

摘要：

We consider the positive definite solution of the nonlinear matrix equation X - Sigma(m)(i=1) A(i)* X-r A(i) = I(0 < r <= 1). We prove that the equation always has a unique positive definite solution. The iteration method for the equation is given.

引用

页码：158 / 161

页数：4

共 6 条

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