Open Access
July 2013 Periodicity and eigenvalues of matrices over quasi-max-plus algebras
Horst Brunotte
Tsukuba J. Math. 37(1): 51-71 (July 2013). DOI: 10.21099/tkbjm/1373893405

Abstract

We extend the notion of a max-plus algebra and study periodicity and eigenvalues of matrices over this new structure thereby generalizing some well-known results on matrices over a max-plus algebra.

Citation

Download Citation

Horst Brunotte. "Periodicity and eigenvalues of matrices over quasi-max-plus algebras." Tsukuba J. Math. 37 (1) 51 - 71, July 2013. https://doi.org/10.21099/tkbjm/1373893405

Information

Published: July 2013
First available in Project Euclid: 15 July 2013

zbMATH: 1274.15042
MathSciNet: MR3112418
Digital Object Identifier: 10.21099/tkbjm/1373893405

Subjects:
Primary: 15A18‎ , 15A80 , 15A99

Keywords: Eigenvalues , matrices , max-plus algebra , periodicity

Rights: Copyright © 2013 University of Tsukuba, Institute of Mathematics

Vol.37 • No. 1 • July 2013
Back to Top