A note on the solution of the characteristic equation over the symmetrized max-plus algebra

Ariyanti, Gregoria (2022) A note on the solution of the characteristic equation over the symmetrized max-plus algebra. A note on the solution of the characteristic equation over the symmetrized max-plus algebra, 16 (4). pp. 1347-1354. ISSN p-ISSN: 1978-7227 e-ISSN: 2615-3017

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Abstract

The symmetrized max-plus algebra is an extension of max-plus algebra. One of the problems in the symmetrized max-plus algebra is determining the eigenvalues of a matrix. If the determinant can be defined, the characteristic equation can be formulated as a max-plus algebraic multivariate polynomial equation system. A mathematical tool for solving the problem using operations as in conventional algebra, known as the extended linear complementary problem (ELCP), to determine the solution to the characteristic equation. In this paper, we describe the use of the ELCP in determining the solution to the characteristic equations of matrices over the symmetrized max-plus algebra.

Item Type:	Article
Uncontrolled Keywords:	characteristic equation, determinant, ELCP, symmetrized max-plus algebra.
Subjects:	Widya Mandala Catholic University on Madiun Campus > Faculty of Teacher Training and Education > Mathematics Education Study Program
Divisions:	Journal Publication
Depositing User:	F.X. Hadi
Date Deposited:	05 Jul 2023 05:56
Last Modified:	01 Aug 2023 06:43
URI:	http://repository.ukwms.ac.id/id/eprint/35459

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