Kronecker Square Roots and The Block vec Matrix
General Mathematics
2013-11-12 v2
Abstract
Using the block vec matrix, I give a necessary and sufficient condition for factorization of a matrix into the Kronecker product of two other matrices. As a consequence, I obtain an elementary algorithmic procedure to decide whether a matrix has a square root for the Kronecker product.
Cite
@article{arxiv.1310.8149,
title = {Kronecker Square Roots and The Block vec Matrix},
author = {Ignacio Ojeda},
journal= {arXiv preprint arXiv:1310.8149},
year = {2013}
}
Comments
4 pages. This paper has been accepted for publication in The American Mathematical Monthly