$m$th roots of $H$-selfadjoint matrices
Functional Analysis
2020-10-14 v2 Mathematical Physics
math.MP
Abstract
In this paper necessary and sufficient conditions are given for the existence of an -selfadjoint th root of a given -selfadjoint matrix. A construction is given of such an -selfadjoint th root when it does exist.
Cite
@article{arxiv.2007.13396,
title = {$m$th roots of $H$-selfadjoint matrices},
author = {G. J. Groenewald and D. B. Janse van Rensburg and A. C. M. Ran and F. Theron and M. van Straaten},
journal= {arXiv preprint arXiv:2007.13396},
year = {2020}
}