Eigenvalue, eigenvector, eigenmode of reducible matrix and its application

Himmatul Mursyidah, S. Subiono

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

There are three essential components of matrix that must be understood in the process of completing the scheduling problems using max-plus algebra. They are eigenvalue, eigenvector, and eigenmode. The result showed that the reducible matrix does not necessarily have eigenvalue. If it has eigenvalue, the eigenvalue is not necessarily unique with finite value. The eigenvector corresponding to the eigenvalue of reducible matrix is not unique that contains at least a finite element. Furthermore, the eigenmode of a regular reducible matrix is not unique with all finite elements for each component.

Original languageEnglish
Title of host publicationInternational Conference on Mathematics - Pure, Applied and Computation
Subtitle of host publicationEmpowering Engineering using Mathematics
EditorsDieky Adzkiya
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735415478
DOIs
Publication statusPublished - 1 Aug 2017
Event2nd International Conference on Mathematics - Pure, Applied and Computation: Empowering Engineering using Mathematics, ICoMPAC 2016 - Surabaya, Indonesia
Duration: 23 Nov 2016 → …

Publication series

NameAIP Conference Proceedings
Volume1867
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference2nd International Conference on Mathematics - Pure, Applied and Computation: Empowering Engineering using Mathematics, ICoMPAC 2016
Country/TerritoryIndonesia
CitySurabaya
Period23/11/16 → …

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