Matrix roots in the max-plus algebra

Dan Jones

doi:10.1016/j.laa.2021.08.008

Matrix roots in the max-plus algebra

Dan Jones

Mathematics

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Abstract

We define positive integer roots of finite matrices in the 2 x 2 case. Where possible, we try to generalise results to finite nx n matrices.

Original language	English
Pages (from-to)	10-34
Journal	Linear Algebra and its Applications
Volume	631
Early online date	19 Aug 2021
DOIs	https://doi.org/10.1016/j.laa.2021.08.008
Publication status	E-pub ahead of print - 19 Aug 2021

Keywords

Matrix
Max-algebra
Powers
Roots

ASJC Scopus subject areas

Algebra and Number Theory
Numerical Analysis
Geometry and Topology
Discrete Mathematics and Combinatorics

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10.1016/j.laa.2021.08.008Licence: None: All rights reserved

JonesD2021MatrixAccepted author manuscript, 336 KBLicence: Creative Commons: Attribution-NonCommercial-NoDerivs (CC BY-NC-ND)

Cite this

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Matrix roots in the max-plus algebra

Abstract

Keywords

ASJC Scopus subject areas

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