Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

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

Comments (0)

We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.

Leave a public comment
Send a private comment to the author(s)
* All users must log in before leaving a comment
Views 0
Downloads 0
Comments 0
Metrics 0


×
Alerts
Notify me about updates to this article or when a peer-reviewed version is published.
We use cookies on our website to ensure you get the best experience.
Read more about our cookies here.