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J4 ›› 2008, Vol. 43 ›› Issue (12): 40-47.

• 论文 • 上一篇    下一篇

两组四元数线性矩阵方程组的解

谢仲洲,刘晓冀*   

  1. 广西民族大学数学与计算机科学学院, 广西 南宁 530006
  • 收稿日期:2008-09-10 出版日期:2008-12-16 发布日期:2009-11-09
  • 通讯作者: 刘晓冀 liuxiaoji.2003@yahoo.com.cn

General solutions to two pairs of quaternion matrix equations

 XIE Zhong-Zhou, LIU Xiao-Ji*   

  1. College of Maths and Computer Science, Guangxi University for Nationalities, Nanning 530006, Guangxi, China
  • Received:2008-09-10 Online:2008-12-16 Published:2009-11-09

摘要:

研究了两组线性四元数矩阵方程组有解的等价条件和解的表达式。

关键词: 线性方程组;等价条件;解的表达式

Abstract:

The purpose was to discuss the general solution to the systems of quaternion matrix equations X1A1=C1, X2A2=C2,A3X1B1+A4X2B2=Cb and A1X1=C1, X2A2=C2,A3X1B1+A4X2B2=Cb.Then the necessary and sufficient conditions for the existence and the expressions of the general solution to the systems mentioned above were obtained.

Key words:  the system of matrix equations; necessary and sufficient conditions; expression of general solution

中图分类号: 

  • O177.2
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