THE GENERALIZED REFLEXIVE SOLUTION FOR A CLASS OF MATRIX EQUATIONS (AX=B, XC=D)

doi:10.1016/S0252-9602(08)60019-3

数学物理学报(英文版)

THE GENERALIZED REFLEXIVE SOLUTION FOR A CLASS OF MATRIX EQUATIONS (AX=B, XC=D)

李范良; 胡锡炎; 张磊

中南林业科技大学理学院, 长沙 410004

收稿日期:2005-09-21 修回日期:2006-08-31 出版日期:2008-01-20 发布日期:2008-01-20
通讯作者: 李范良
基金资助:
This research was supported by National Natural Science Foundation
of China (10571047); and by Scientific Research Fund of Hunan Provincial Education Department of China Grant(06C235); and by Central South University of Forestry and Technology (06Y017); and by Specialized Research Fund for the Doctoral Program of Higher Education (20060532014)

THE GENERALIZED REFLEXIVE SOLUTION FOR A CLASS OF MATRIX EQUATIONS (AX=B, XC=D)

Li Fanliang; Hu Xiyan; Zhang Lei

Institute of Mathematics and Physics, School of Sciences, Central South University of Forestry and Technology, Changsha 410004, China

Received:2005-09-21 Revised:2006-08-31 Online:2008-01-20 Published:2008-01-20
Contact: Li Fanliang

摘要/Abstract

摘要：

In this article, the generalized reflexive solution of matrix equations ( AX=B, XC=D) is considered. With special properties of generalized reflexive matrices, the necessary and sufficient conditions for the solvability and the general expression of the solution are obtained. Moreover, the related optimal approximation problem to a given matrix over the solution set is solved.

关键词: Matrix equations, generalized reflexive matrix, optimal approximation

Abstract:

Key words: Matrix equations, generalized reflexive matrix, optimal approximation

中图分类号:

15A24

李范良; 胡锡炎; 张磊. THE GENERALIZED REFLEXIVE SOLUTION FOR A CLASS OF MATRIX EQUATIONS (AX=B, XC=D)[J]. 数学物理学报(英文版), 2008, 28(1): 185-193.

Li Fanliang; Hu Xiyan; Zhang Lei. THE GENERALIZED REFLEXIVE SOLUTION FOR A CLASS OF MATRIX EQUATIONS (AX=B, XC=D)[J]. Acta mathematica scientia,Series B, 2008, 28(1): 185-193.

THE GENERALIZED REFLEXIVE SOLUTION FOR A CLASS OF MATRIX EQUATIONS (AX=B, XC=D)

THE GENERALIZED REFLEXIVE SOLUTION FOR A CLASS OF MATRIX EQUATIONS (AX=B, XC=D)

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