A note on positive definite solution of matrix equation X plus M* X-1M - N* X-1N = I

被引：2

作者：

Zhang, Guan-Lin ^{[1
]}

机构：

[1] Shandong Univ, Sch Math, Jinan 250100, Peoples R China

来源：

LINEAR & MULTILINEAR ALGEBRA | 2016年 / 64卷 / 05期

关键词：

nonlinear matrix equation; stochastic control; positive definite solution; 15A24; 65H05;

D O I：

10.1080/03081087.2015.1068267

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note, we argue that Theorem 2.2 and its proof in Duan XF, et al. [Positive definite solution of a class of nonlinear matrix equation. Linear and Multilinear Algebra. 2014;6:839-852] is seriously flawed and prove a new result based on Brouwer's fixed-point theorem.

引用

页码：951 / 954

页数：4

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