Perturbation of Perron roots and The max-plus spectral theorem
Spectral Theory
2016-06-07 v2 Rings and Algebras
Abstract
In this paper, we consider the Perron theorem over the real Puiseux field. We introduce a recursive method for calculating Perron roots and Perron vectors of positive Puiseux matrices (which satisfy some condition of genericness) by means of combinatorics based on the tropical linear algebra.
Keywords
Cite
@article{arxiv.1511.04652,
title = {Perturbation of Perron roots and The max-plus spectral theorem},
author = {Shinsuke Iwao},
journal= {arXiv preprint arXiv:1511.04652},
year = {2016}
}
Comments
29pages