Characteristic polynomial of matrices over interval max-plus algebra
Siswanto Siswanto, Vika Yugi Kurniawan, Pangadi, Santoso Budi Wiyono · AIP conference proceedings · 2021
Let ℝ be the set of all real number and ε =-∞. Max-plus algebra is the set ℝε = ℝ ∪ {ε} that is equipped with maximum (⊕) and addition (⊗) operations. For each A∈ℝεn×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)ε={x=[x_, x¯]| x_, x¯∈ℝ,ε