A Sylvester-type matrix equation over the Hamilton quaternions with an application
Rings and Algebras
2022-05-24 v3
Abstract
We derive the solvability conditions and a formula of a general solution to a Sylvester-type matrix equation over Hamilton quaternions. As an application, we investigate the necessary and sufficient conditions for the solvability of the quaternion matrix equation, which involves -Hermicity. We also provide an algorithm with a numerical example to illustrate the main results of this paper.
Cite
@article{arxiv.2109.10045,
title = {A Sylvester-type matrix equation over the Hamilton quaternions with an application},
author = {Long-Sheng Liu and Qing-Wen Wang and Mahmoud Saad Mehany},
journal= {arXiv preprint arXiv:2109.10045},
year = {2022}
}