Aljabar max plus: suatu kajian teori dan aplikasi fundamentalnya

Ariyanti, Gregoria (2011) Aljabar max plus: suatu kajian teori dan aplikasi fundamentalnya. Widya Warta: Jurnal Ilmiah Universitas Katolik Widya Mandala Madiun, XXXV (02). pp. 32-43. ISSN 0854-1981

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Abstract

In max-plus algebra we work with the algebra structures consisting of the set R_max = R ∪{-∞} together with operations ab = max(a,b) and ab = a+ b. The additive and multiplicative identities are taken to be  = -∞ and e = 0 respectively. Its operations are associative, commutative and distributive similar to those in conventional algebra. In this article matrix over max-plus algebra (or in〖 R〗_max) is defined. This article emphasizes on max-plus linear algebra specifically. It is evident that some of the concepts of conventional linear algebra are also possessed by a max-plus version. The solvability of linear systems, such as Ax = b is specifically elaborated in this article.

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