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J4 ›› 2012, Vol. 47 ›› Issue (2): 74-77.

• 论文 • 上一篇    下一篇

二次广义Hermite矩阵方程

袁晖坪,李庆玉   

  1. 重庆工商大学数学与统计学院, 重庆 400067
  • 收稿日期:2011-03-29 出版日期:2012-02-20 发布日期:2012-12-24
  • 作者简介:袁晖坪(1958- ),男,教授,从事矩阵论等研究.Email: yhp@ctbu.edu.cn
  • 基金资助:

    重庆市自然科学基金资助项目(CSTS 2005 BB 0243);重庆市教委科技项目基金资助项目(KJ0707023)

On quadratic P-Hermitian matrix equations

YUAN Hui-ping, LI Qin-yu   

  1. College of Mathematics and statistics, Chongqing Technology and Business University, Chongqing 400067, China
  • Received:2011-03-29 Online:2012-02-20 Published:2012-12-24

摘要:

利用广义Hermite矩阵研究了一类二次矩阵方程的求解问题,获得了矩阵方程XAX=A存在P-广义Hermite矩阵解的充分必要条件,并导出了相应解的表达式。

关键词: 广义Hermite矩阵;二次矩阵方程;矩阵解

Abstract:

A matrix equation XAX=A is considered where A is a P-Hermitian matrix. Some necessary and sufficient conditions to this equation in some special cases are given. Specific forms of these solutions are also presented.

Key words: generalized Hermite matrix; quadratic matrix equation; matrix solution

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