Back to Search Start Over

Cramer’s rule for a system of quaternion matrix equations with applications.

Authors :
Song, Guang-Jing
Wang, Qing-Wen
Yu, Shao-Wen
Source :
Applied Mathematics & Computation. Nov2018, Vol. 336, p490-499. 10p.
Publication Year :
2018

Abstract

In this paper, we investigate Cramer’s rule for the general solution to the system of quaternion matrix equations A 1 X B 1 = C 1 , A 2 X B 2 = C 2 , and Cramer’s rule for the general solution to the generalized Sylvester quaternion matrix equation A X B + C Y D = E , respectively. As applications, we derive the determinantal expressions for the Hermitian solutions to some quaternion matrix equations. The findings of this paper extend some known results in the literature. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00963003
Volume :
336
Database :
Academic Search Index
Journal :
Applied Mathematics & Computation
Publication Type :
Academic Journal
Accession number :
130074598
Full Text :
https://doi.org/10.1016/j.amc.2018.04.056