The common solution of twelve matrix equations over the quaternions-Reference-Cited by-同舟云学术

The common solution of twelve matrix equations over the quaternions

Published:2022 Issue:3 Volume:36 Page:887-903
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Yuan Wei-Jie¹,Wang Qing-Wen²

Affiliation:

1. Department of Mathematics, Shanghai University, Shanghai, P.R. China

2. Department of Mathematics, Shanghai University, Shanghai, P.R. China + Collaborative Innovation Center for the Marine Artificial Intelligence, Shanghai, China

Abstract

In this paper, we investigate a system of twelve quaternion matrix equations. Using the real representation of a quaternion matrix, we first derive the least-squares solution with the least norm to the system. Meanwhile, we establish the solvability conditions and an expression of the general solution to the system when it is consistent.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference30 articles.

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4. Q.W. Wang, Z.H. He, Solvability conditions and general solution for the mixed Sylvester equations, Automatica 49 (2013) 2713-2719.

5. M. Dehghan, M. Hajarian, An iterative method for solving the generalized coupled Sylvester matrix equations over generalized bisymmetric matrices, Appl. Math. Model. 34 (2010) 639-654.

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