On common eigenvectors for semigroups of matrices in tropical and traditional mathematics
Rings and Algebras
2019-03-26 v4
Abstract
We prove the existence of a common eigenvector for commutative, nilpotent and quasinilpotent semigroups of matrices with complex or real nonnegative entries both in the conventional and tropical linear algebra.
Keywords
Cite
@article{arxiv.1211.2316,
title = {On common eigenvectors for semigroups of matrices in tropical and traditional mathematics},
author = {Grigory Shpiz and Grigory Litvinov and Sergei Sergeev},
journal= {arXiv preprint arXiv:1211.2316},
year = {2019}
}
Comments
7 pages