关于线性矩阵方程的反对称解

journal6 ›› 2002, Vol. 23 ›› Issue (2): 28-30.

关于线性矩阵方程的反对称解

(1.湖南大学数学与计量经济学院，湖南长沙 410006；2.吉首大学数学与计算机科学系，湖南吉首 416000)

出版日期:2002-06-15 发布日期:2013-01-05
作者简介:蒋利群(1976-)，女，湖南省永州市人，吉首大学数学与计算机科学系助教，湖南大学数学与计量经济学院硕士研究生，主要从事差分方程研究.

On the Anti-Symmetric Solution of Linear Matrix Equations

(1.Dept.of Math.and Computer Science，Jishou University,Jishou 416000,Hunan China；2.College of Math. and Econometrics,Hunan University,Changsha 410006,China)

Online:2002-06-15 Published:2013-01-05

摘要/Abstract

摘要：讨论了线性矩性方程AX=C，AXB=C的反对称解.分别用满秩分解、广义逆和广义奇异值分解导出了具有反对称解的充分必要条件.

关键词： 反对称解, 线性矩阵方程, 满秩分解, 广义奇异值分解

Abstract: The anti-symmetric solutions of linear equations AX=C and AXB=C are considered.The necessary and sufficient conditions for the consistency of the equations with an anti-symmetric condition on solutions are derived using the full-rank decomposition,generalized inverse and generalized singular-value decomposition.

Key words: the anti-symmetric solution, linear matrix equations, full-rank decomposition, generalized singular-value decomposition

蒋利群, 莫宏敏, 刘罗飞. 关于线性矩阵方程的反对称解[J]. journal6, 2002, 23(2): 28-30.

JIANG Li-Qun, MO Hong-Min, LIU Luo-Fei. On the Anti-Symmetric Solution of Linear Matrix Equations[J]. journal6, 2002, 23(2): 28-30.