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Journal : Desimal: Jurnal Matematika

Eigenvalue decomposition of a symmetric matrix over the symmetrized max-plus algebra Suroto Suroto
Desimal: Jurnal Matematika Vol 4, No 3 (2021): Desimal: Jurnal Matematika
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (343.331 KB) | DOI: 10.24042/djm.v4i3.9959

Abstract

This paper discusses topics in the symmetrized max-plus algebra. In this study, it will be shown the existence of eigenvalue decomposition of a symmetric matrix over symmetrized max-plus algebra. Eigenvalue decomposition is shown by using a function that corresponds to the symmetrized max-plus algebra with conventional algebra. The result obtained is the existence of eigenvalue decomposition of a symmetric matrix over symmetrized max-plus algebra and its application to determine eigenvalues and eigenvectors.