$m$th roots of $H$-selfadjoint matrices over the quaternions
Functional Analysis
2021-06-10 v1
Abstract
The complex matrix representation for a quaternion matrix is used in this paper to find necessary and sufficient conditions for the existence of an -selfadjoint th root of a given -selfadjoint quaternion matrix. In the process, when such an -selfadjoint th root exists, its construction is also given.
Keywords
Cite
@article{arxiv.2106.05072,
title = {$m$th roots of $H$-selfadjoint matrices over the quaternions},
author = {D. B. Janse van Rensburg and A. C. M. Ran and F. Theron and M. van Straaten},
journal= {arXiv preprint arXiv:2106.05072},
year = {2021}
}
Comments
12 pages