NILAI DAN VEKTOR EIGEN MATRIKS INTERVAL ATAS ALJABAR MAX-PLUS

Maharani, Dwi Suci and Suryoto, Suryoto (2009) NILAI DAN VEKTOR EIGEN MATRIKS INTERVAL ATAS ALJABAR MAX-PLUS. jURNAL MATEMATIKA DAN KOMPUTER . ISSN 1410-8518

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Abstract

An interval matrix A with given and is the set of all matrices such that . Eigenvalue and eigenvector of A is called possible eigenvalue and eigenvector of an interval matrix A. With the definitions eigenvalue and interval matrix over max-plus algebra, can be developed a algorithm “possible eigenvector” to test whether a given vector is a possible eigenvector of that interval matrix. Whereas universal eigenvalue and eigenvector of an matrix is the eigenvalue and eigenvector of each A. Universal eigenvector with can be found by solving two-sided systems of linear equations over max-plus algebra.

Item Type:Article
Uncontrolled Keywords:Interval matrices, max-plus algebra, possible eigenvector, universal eigenvector.
Subjects:Q Science > QA Mathematics
Divisions:Faculty of Science and Mathematics > Department of Mathematics
ID Code:1930
Deposited By:Mr. Matematika Admin
Deposited On:30 Nov 2009 14:24
Last Modified:03 Dec 2009 16:30

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