Bounds for the spectral radius of nonnegative matrices and generalized Fibonacci matrices-Reference-Cited by-同舟云学术

Bounds for the spectral radius of nonnegative matrices and generalized Fibonacci matrices

Published:2022-01-01 Issue:1 Volume:10 Page:308-326
ISSN:2300-7451
Container-title:Special Matrices
language:en
Short-container-title:

Author:

Adam Maria¹,Aretaki Aikaterini²

Affiliation:

1. Department of Computer Science and Biomedical Informatics, University of Thessaly , 2-4 Papasiopoulou str. , P.O. 35131 Lamia , Greece

2. Department of Mathematics, University of Thessaly , 3rd km P.E.O. Lamia-Athina , P.O. 35100 Lamia , Greece

Abstract

Abstract In this article, we determine upper and lower bounds for the spectral radius of nonnegative matrices. Introducing the notion of average 4-row sum of a nonnegative matrix, we extend various existing formulas for spectral radius bounds. We also refer to their equality cases if the matrix is irreducible, and we present numerical examples to make comparisons among them. Finally, we provide an application to special matrices such as the generalized Fibonacci matrices, which are widely used in applied mathematics and computer science problems.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology,Algebra and Number Theory

Link

https://www.degruyter.com/document/doi/10.1515/spma-2022-0165/pdf

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