A System of Periodic Discrete-time Coupled Sylvester Quaternion Matrix Equations-Reference-Cited by-同舟云学术

A System of Periodic Discrete-time Coupled Sylvester Quaternion Matrix Equations

Published:2017-02-15 Issue:01 Volume:24 Page:169-180
ISSN:1005-3867
Container-title:Algebra Colloquium
language:en
Short-container-title:Algebra Colloq.

Author:

He Zhuoheng¹²,Wang Qingwen¹

Affiliation:

1. Department of Mathematics, Shanghai University, Shanghai 200444, China

2. Department of Mathematics and Statistics, Auburn University AL 36849-5310, USA

Abstract

We in this paper derive necessary and sufficient conditions for the system of the periodic discrete-time coupled Sylvester matrix equations [Formula: see text] over the quaternion algebra to be consistent in terms of ranks and generalized inverses of the coefficient matrices. We also give an expression of the general solution to the system when it is solvable. The findings of this paper generalize some known results in the literature.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1005386717000104

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