On common eigenvectors for semigroups of matrices in tropical and traditional mathematics
arXiv:1211.2316 · doi:10.1016/j.laa.2013.04.036
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.
arXiv comment7 pages