On the $\top$-Stein equation $X=AX^\top B+C$
Numerical Analysis
2012-10-23 v1
Abstract
We consider the -Stein equation , where the operator denotes the transpose () of a matrix. In the first part of this paper, we analyze necessary and sufficient conditions for the existence and uniqueness of the solution . In the second part, a numerical algorithm for solving -Stein equation is given under the solvability conditions.
Keywords
Cite
@article{arxiv.1210.5731,
title = {On the $\top$-Stein equation $X=AX^\top B+C$},
author = {Matthew M. Lin and Chun-Yueh Chiang},
journal= {arXiv preprint arXiv:1210.5731},
year = {2012}
}