The common bisymmetric nonnegative definite solutions with extreme ranks and inertias to a pair of matrix equations

被引：17

作者：

Wang, Qing-Wen ^{[2
]}

Liu, Xin ^{[2
]}

Yu, Shao-Wen ^{[1
]}

机构：

[1] E China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

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

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 218卷 / 06期

基金：

上海市自然科学基金;

关键词：

System of quaternion matrix equations; Rank; Inertia; Bisymmetric matrix; Bisymmetric nonnegative definite matrix; LEAST-SQUARES SOLUTION; SYMMETRIC-MATRICES; EXPRESSION SUBJECT; SYSTEM; AX; EQUALITIES; RING; NORM;

D O I：

10.1016/j.amc.2011.08.018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We in this paper consider the bisymmetric nonnegative definite solution with extremal ranks and inertias to a system of quaternion matrix equations AX = C, XB = D. We derive the extremal ranks and inertias of the common bisymmetric nonnegative definite solution to the system. The general expressions of the bisymmetric nonnegative definite solution with extremal ranks and inertias to the system mentioned above are also presented. In addition, we give a numerical example to illustrate the results of this paper. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：2761 / 2771

页数：11

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