An Algorithmic Approach To Solving B = BCX + YAB Using Quotient Spaces
Rings and Algebras
2019-10-01 v1
Abstract
One well-known necessary and sufficient condition for equality in the Frobenius rank inequality due to Tian and Styan is that the matrix equation B = BCX + YAB be solvable for X and Y. We develop an algorithm to construct the matrices X and Y using a quotient space formulation of the Frobenius rank inequality, and provide several necessary and sufficient conditions for solvability.
Cite
@article{arxiv.1909.13202,
title = {An Algorithmic Approach To Solving B = BCX + YAB Using Quotient Spaces},
author = {Alex Taylor},
journal= {arXiv preprint arXiv:1909.13202},
year = {2019}
}
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7 pages