On real algebras generated by positive and nonnegative matrices
Combinatorics
2020-07-29 v1 Rings and Algebras
Abstract
Algebras generated by strictly positive matrices are described up to similarity, including the commutative, simple, and semisimple cases. We provide sufficient conditions for some block diagonal matrix algebras to be generated by a set of nonnegative matrices up to similarity. Also we find all realizable dimensions of algebras generated by two nonnegative semi-commuting matrices. The last result provides the solution to the problem posed by M. Kandi\'{c}, K. \v{S}ivic (2017).
Cite
@article{arxiv.2007.14194,
title = {On real algebras generated by positive and nonnegative matrices},
author = {N. A. Kolegov},
journal= {arXiv preprint arXiv:2007.14194},
year = {2020}
}
Comments
24 pages