A new generalization of min and max matrices and their reciprocals counterparts-Reference-Cited by-同舟云学术

A new generalization of min and max matrices and their reciprocals counterparts

Published:2024 Issue:2 Volume:38 Page:421-435
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

da Fonseca Carlos¹,Kızılateş Can²,Terzioğlu Nazlıhan²

Affiliation:

1. Kuwait College of Science and Technology, Doha District, Safat, Kuwait + Chair of Computational Mathematics, University of Deusto, Bilbao, Spain

2. Zonguldak Bulent Ecevit University, Department of Mathematics, Zonguldak, Turkey

Abstract

In this paper, we introduce a new generalization of the min and max matrices called geometric min matrix and geometric max matrix, respectively. We discuss some of their properties, such as determinants, inverses, factorizations, and identities for their characteristic polynomials. Moreover, their reciprocal analogs for these newly established matrices are examined.

Publisher

National Library of Serbia

Reference18 articles.

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4. M. Catalani, A particular matrix and its relationship with Fibonacci numbers, https://arxiv.org/pdf/math/0209249.pdf.

5. M.D. Choi, Tricks or treats with the Hilbert matrix, Amer. Math. Monthly 90 (1983), 301-312.

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