数理化科学

矩阵方程组中心对称解的极秩

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  • 1.贵州师范大学 数学与计算机科学学院, 贵阳 550014; 2.山东铝业职业学院,山东 淄博 255052;
    3.上海大学 理学院,上海 200444
张 翔(1974—),女,副教授,博士,研究方向为矩阵代数. E-mail:zxjnsc@163.com

收稿日期: 2012-03-06

  网络出版日期: 2012-12-28

基金资助

国家自然科学基金资助项目(11171205);遵义师范学院科研基金资助项目(2009010)

Extremal Ranks of Centrosymmetric Solution to System of Matrix Equations

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  • 1. School of Mathematics and Computer Science, Guizhou Normal University, Guiyang 550014, China;
    2. Shandong Aluminum Vocational College, Zibo 255052, Shandong, China;
    3. College of Sciences, Shanghai University, Shanghai 200444, China

Received date: 2012-03-06

  Online published: 2012-12-28

摘要

给出矩阵方程组A1X=C1,A3XB3=C3中心对称解的新表达形式,得到中心对称解的极大秩和极小秩.

本文引用格式

张 翔, 郝 雷, 王卿文 . 矩阵方程组中心对称解的极秩[J]. 上海大学学报(自然科学版), 2012 , 18(6) : 596 -600 . DOI: 10.3969/j.issn.1007-2861.2012.06.009

Abstract

A new general form and the extremal rank of the centrosymmetric solutions to A1X=C1and A3XB3=C3  are derived.

参考文献

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