Characteristic polynomials of supertropical matrices
Commutative Algebra
2014-12-23 v2 Rings and Algebras
Abstract
Supertropical matrix theory was investigated in [6], whose terminology we follow. In this work we investigate eigenvalues, characteristic polynomials and coefficients of characteristic polynomials of supertropical matrices and their powers, and obtain the analog to the basic property of matrices that any power of an eigenvalue of a matrix is an eigenvalue of the corresponding power of the matrix.
Cite
@article{arxiv.1201.0966,
title = {Characteristic polynomials of supertropical matrices},
author = {Adi Niv},
journal= {arXiv preprint arXiv:1201.0966},
year = {2014}
}
Comments
Department of Mathematics, Bar-Ilan University, Ramat Gan 52900, Israel. Email: adi.niv@live.biu.ac.il. This paper is part of the author's Ph.D thesis, which was written at Bar-Ilan University under the supervision of Prof. L. H. Rowen