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

Text (Aljabar max plus: suatu kajian teori dan aplikasi fundamentalnya)
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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 ab = max(a,b) and ab = 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 Ax = b is specifically elaborated in this article.

Item Type: | Article |
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Uncontrolled Keywords: | max-plus algebra, matrix over max-plus algebra, system of linear equations in max-plus algebra |

Subjects: | L Education > LB Theory and practice of education > LB2300 Higher Education Q Science > QA Mathematics |

Divisions: | Fakultas Keguruan dan Ilmu Pendidikan > Prodi Pendidikan Matematika |

Depositing User: | Petrus Suwandi |

Date Deposited: | 17 May 2019 02:08 |

Last Modified: | 18 May 2019 05:56 |

URI: | http://repository.widyamandala.ac.id/id/eprint/489 |

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