Asymptotic formulae and inequalities for point spectrum in max algebra
Functional Analysis
2021-11-09 v1
Abstract
We prove new explicit asymptotic formulae between (geometric) eigenvalues in max-algebra and classical distinguished eigenvalues of nonnegative matrices, which are useful tools for transferring results between both settings. We establish new inequalities for both types of eigenvalues of Hadamard products and Hadamard weighted geometric means of nonnegative matrices. Moreover, a version of the spectral mapping theorem for the distinguished spectrum is pointed out.
Keywords
Cite
@article{arxiv.2111.04358,
title = {Asymptotic formulae and inequalities for point spectrum in max algebra},
author = {S. M. Manjegani and A. Peperko and H. Shokooh Saljooghi},
journal= {arXiv preprint arXiv:2111.04358},
year = {2021}
}