文献类型：期刊文献

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

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

年份：2011

卷号：218

期号：6

起止页码：2761

外文期刊名：APPLIED MATHEMATICS AND COMPUTATION

收录：;EI(收录号：20114014391050);WOS:【SCI-EXPANDED(收录号:WOS:000296278800036)】；

基金：This research was supported by the Grants from Natural Science Foundation of Shanghai (11ZR1412500), the Ph.D. Programs Foundation of Ministry of Education of China (20093108110001), Natural Science Foundation of China (11171205), and Shanghai Leading Academic Discipline Project (J50101) and the Innovation Funds for Graduates of Shanghai University (SHUCX092005).

语种：英文

外文关键词：System of quaternion matrix equations; Rank; Inertia; Bisymmetric matrix; Bisymmetric nonnegative definite matrix

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.