A NOTE ON THE SOLUTION OF THE CHARACTERISTIC EQUATION OVER THE SYMMETRIZED MAX-PLUS ALGEBRA

  • Gregoria Ariyanti Department of Mathematics Education, Faculty of Teacher Training and Education, Widya Mandala Surabaya Catholic University, Madiun City Campus
DOI: https://doi.org/10.30598/barekengvol16iss4pp1347-1354
Keywords: symmetrized max-plus algebra, determinant, characteristic equation, elcp

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 will describe the use of ELCP in determining the solution to the characteristic equations of matrices over the symmetrized max-plus algebra.

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Published
2022-12-15
How to Cite
[1]
G. Ariyanti, “A NOTE ON THE SOLUTION OF THE CHARACTERISTIC EQUATION OVER THE SYMMETRIZED MAX-PLUS ALGEBRA”, BAREKENG: J. Math. & App., vol. 16, no. 4, pp. 1347-1354, Dec. 2022.
Issue
Vol 16 No 4 (2022): BAREKENG: Journal of Mathematics and Its Applications
Section
Articles

Copyright (c) 2022 Gregoria Ariyanti

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