The R-conjugate Solution to a Pair of Linear Matrix Equations

被引：0

作者：

Chang, Haixia ^{[1
]}

Wang, Qingwen ^{[1
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

来源：

ADVANCES IN MATRIX THEORY AND ITS APPLICATIONS, VOL 1: PROCEEDINGS OF THE EIGHTH INTERNATIONAL CONFERENCE ON MATRIX THEORY AND ITS APPLICATIONS | 2008年

关键词：

Matrix equation; R-conjugate matrix; Optimal approximation problem;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let R is an element of R-nxn be a nontrivial symmetric involution, i.e., R-2 = I, R-T = R not equal +/-I. A is an element of C-nxn is said to be R - conjugate if (A) over bar = RAR. In this paper, necessary and sufficient conditions are established for the existence of and the expression for the R - conjugate solution to the matrix equations AX = C and XB = D. Furthermore, the explicit expression of the solution to the corresponding optimal approximation problem is obtained.

引用

页码：17 / 20

页数：4

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