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114网址导航> ALJABAR MAX PLUS : SUATU KAJIAN TEORI DAN APLIKASI FUNDAMENTALNYA
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ALJABAR MAX PLUS : SUATU KAJIAN TEORI DAN APLIKASI FUNDAMENTALNYA
( Program Studi Pendidikan Matematika - FKIP
Universitas Katolik Widya Mandala Madiun)
Article Info
Published date:
03 Jul 2011
In max-plus algebra we work with the algebra structures consisting of the set R = 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 ) 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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