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Article

An Efficient Algorithm for Nontrivial Eigenvectors in Max-Plus Algebra

1
Department of Mathematics, Quaid-i-Azam University, Islamabad 45320, Pakistan
2
Department of Mathematics and Computer Sciences, Stetson University, DeLand, FL 32723, USA
*
Authors to whom correspondence should be addressed.
Symmetry 2019, 11(6), 738; https://doi.org/10.3390/sym11060738
Received: 30 April 2019 / Revised: 24 May 2019 / Accepted: 27 May 2019 / Published: 30 May 2019
(This article belongs to the Special Issue Matrices and Symmetry)
The eigenproblem for matrices in max-plus algebra describes the steady state of the system, and therefore it has been intensively studied by many authors. In this paper, we propose an algorithm to compute the eigenvalue and the corresponding eigenvectors of a square matrix in an iterative way. The algorithm is extended to compute the nontrivial eigenvectors for Latin squares in max-plus algebra. View Full-Text
Keywords: max-plus algebra; Latin squares; eigenvalue and eigenvectors max-plus algebra; Latin squares; eigenvalue and eigenvectors
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MDPI and ACS Style

Umer, M.; Hayat, U.; Abbas, F. An Efficient Algorithm for Nontrivial Eigenvectors in Max-Plus Algebra. Symmetry 2019, 11, 738. https://doi.org/10.3390/sym11060738

AMA Style

Umer M, Hayat U, Abbas F. An Efficient Algorithm for Nontrivial Eigenvectors in Max-Plus Algebra. Symmetry. 2019; 11(6):738. https://doi.org/10.3390/sym11060738

Chicago/Turabian Style

Umer, Mubasher, Umar Hayat, and Fazal Abbas. 2019. "An Efficient Algorithm for Nontrivial Eigenvectors in Max-Plus Algebra" Symmetry 11, no. 6: 738. https://doi.org/10.3390/sym11060738

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