Relationships between tropical eigenvectors and tropical fixed points of the group GL(2,\(\mathbb{R}\))

Authors

  • Umar Hayat Quaid -i-Azam University - Department of Mathematics
  • Ghulam Farid Quaid -i-Azam University - Department of Mathematics
  • Erdal Karapinar Atilim University - Department of Mathematics

Keywords:

tropical eigenvalues, tropical eigenvectors, fixed points

Abstract

The eigenvalues, eigenvectors and fixed points of matrices have many applications in various branches of science and many mathematical disciplines.  In this paper first we introduce the concept of tropical fixed points, then we calculate the tropical eigenvalues and tropical eigenvectors of GL(2,\(\mathbb{R}\)).  Furthermore we give relationships between tropical eigenvectors and tropical fixed points of GL(2,\(\mathbb{R}\)).

Cover of n°43 Italian Journal of Pure and Applied Mathematics

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Published

2020-02-14

How to Cite

Hayat, U., Farid, G., & Karapinar, E. (2020). Relationships between tropical eigenvectors and tropical fixed points of the group GL(2,\(\mathbb{R}\)). Italian Journal of Pure and Applied Mathematics, 43, 291–300. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/7341

Issue

N°43 - February 2020

Section

Articoli - Forum Editrice

License

Copyright (c) 2020 Umar Hayat, Ghulam Farid, Erdal Karapinar

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

L'opera è pubblicata sotto  Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)