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The Hermitian Solution to a New System of Commutative Quaternion Matrix Equations
Version 1
: Received: 21 February 2024 / Approved: 21 February 2024 / Online: 22 February 2024 (15:08:30 CET)
A peer-reviewed article of this Preprint also exists.
Zhang, Y.; Wang, Q.-W.; Xie, L.-M. The Hermitian Solution to a New System of Commutative Quaternion Matrix Equations. Symmetry 2024, 16, 361. Zhang, Y.; Wang, Q.-W.; Xie, L.-M. The Hermitian Solution to a New System of Commutative Quaternion Matrix Equations. Symmetry 2024, 16, 361.
Abstract
This paper considers the Hermitian solutions of a new system of commutative quaternion matrix equations, we establish both necessary and sufficient conditions for the existence of solutions. Furthermore, we derive an explicit general expression when it is solvable. To illustrate our main findings, we present two numerical algorithms and examples in this paper.
Keywords
Commutative quaternion algebra; Matrix equations; Hermitian matrix; Complex representation
Subject
Physical Sciences, Mathematical Physics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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