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

• Articles • Previous Articles     Next Articles

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

PDF (PC)

1115

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

CLC Number: 

  • O177.2
[1] LIU Yang. Some equivalent conditions of supercyclicity of bounded linear operators [J]. J4, 2013, 48(12): 75-79.
[2] LI Zhi-gang, SONG Xiao-qiu*, YUE Tian. On nonuniform polynomial trichotomy of 
evolution operators in Banach space [J]. J4, 2013, 48(12): 80-85.
[3] CHEN Shi-zhao, CAO Xiao-hong*. Linear maps between operator algebras preserving the ascent and descent [J]. J4, 2013, 48(12): 86-89.
[4] HUANG Cui, WANG Cai-xia, SONG Xiao-qiu*, ZHANG Ming-cui. Two parameter C-semigroups and application [J]. J4, 2013, 48(10): 14-17.
Viewed
Full text


Abstract

Cited
  Shared   
  Discussed   
No Suggested Reading articles found!
Copyright 2018 © Editorial office of JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE)
Supported by Beijing Magtech Co.Ltd