Characteristic polynomial of matrices over interval max-plus algebra

Autor: Pangadi, Siswanto, Santoso Budi Wiyono, Vika Yugi Kurniawan
Rok vydání: 2021
Předmět:
Zdroj: THE THIRD INTERNATIONAL CONFERENCE ON MATHEMATICS: Education, Theory and Application.
ISSN: 0094-243X
DOI: 10.1063/5.0039779
Popis: Let ℝ be the set of all real number and e =-∞. Max-plus algebra is the set ℝe = ℝ ∪ {e} that is equipped with maximum (⊕) and addition (⊗) operations. For each A∈ℝen×n can be found its eigenvalue and its eigenvector. The problem how to find eigenvalue and eigenvector is eigenproblem. A number of methods have been developed to determine the eigenvalues of a matrix over max-plus algebra. One of them is by using characteristic polynomial. Max-plus algebra has been expanded into interval max-plus algebra. Interval max-plus algebra is the set I(ℝ)e={x=[x_, x¯]| x_, x¯∈ℝ,e
Databáze: OpenAIRE