KAJIAN NILAI EIGEN DAN VEKTOR EIGEN PADA MATRIKS INTERVAL DALAM ALJABAR MAX - PLUS

Mairi, Mairi (2009) KAJIAN NILAI EIGEN DAN VEKTOR EIGEN PADA MATRIKS INTERVAL DALAM ALJABAR MAX - PLUS. Other thesis, University of Muhammadiyah Malang.

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Abstract

In our daily life, there are some many problems that can be mathematics modeled with max-plus algebra, as ilustration and example of there applications are simple flow shop scheduling on production system, simple telecomunication networks, simple paralel processing computer system, simple railway networks system and so on. Starting some modelling mentioned, there are time-invariant that periodic property of time-invariant max-plus linear systems. The period is equal the max-plus eigenvalue of matrix that form state of the systems. Hence, in this research is needed egenvalues and eigenvectors research of matrix max-plus algebra. If we have matrix , interval scalar , is mentioned eigenvalues of interval matrix max-plus A, if there are interval vectors v , with v , occur v v. Vector v is mentioned eigenvectors of interval matrix max-plus A that occur with . To get eigenvalues and eigenvectors v from interval matrix, can be done with take lower matrix and upper matrix , and eigenvalues from their matrix can be calculated with this formula: , with . Eigenvectors matrix interval max-plus can be calculated with see i column on matrix , if then i column on matrix are eigenvectors that occur with eigenvalues , where: 1. Matrix 2. Matrix 3. Matrix . If matrix irreducibell, then its eigenvalue is singular.

Item Type: Thesis (Other)
Subjects: L Education > L Education (General)
Divisions: Faculty of Teacher Training and Education > Department of Mathematics and Computing
Depositing User: Anggit Aldila
Date Deposited: 19 Jun 2012 04:10
Last Modified: 19 Jun 2012 04:10
URI: http://eprints.umm.ac.id/id/eprint/8505

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