Gregoria Ariyanti
Max-plus algebra is the structure that doesn't have an inverse of additive. Therefore, there exists an equation that doesn't have a solution. For example, equation 3X=2 has no solution because there is no X such that max(3,X) = 2.The max-plus will have an inverse element of addition if that structure is extended to the symmetrized max-plus algebra. The expansion into a larger system is the same as the expansion of the natural number into an integer number.This paper describes the necessary or sufficient condition of the eigenvalue of matrices over the symmetrized max-plus algebra using the linear balance systems Ax∇ b with ∇ as a balance relation. © 2021 Institute of Physics Publishing. All rights reserved.
Department of Mathematics Education, Widya Mandala Surabaya Catholic University, Indonesia
Research at a Glance
Register to unlock
Topics & SDG Alignment
Register to unlock
Collaboration
Register to unlock
Author Profile (Selected)
Register to unlock
References Overview
Register to unlock
Journal & Source
Register to unlock
Metadata & Integrity
Register to unlock