On the Sylvester matrix equation over quaternions
Rings and Algebras
2015-05-15 v1
Abstract
The Sylvester equation is considered in the setting of quaternion matrices. Conditions that are necessary and sufficient for the existence of a unique solution are well-known. We study the complementary case where the equation either has infinitely many solutions or does not have solutions at all. Special attention is given to the case where and are respectively, lower and upper triangular two-diagonal matrices (in particular, if and are Jordan blocks)
Keywords
Cite
@article{arxiv.1505.03575,
title = {On the Sylvester matrix equation over quaternions},
author = {Vladimir Bolotnikov},
journal= {arXiv preprint arXiv:1505.03575},
year = {2015}
}