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
收藏
页码：951 / 954
页数：4
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