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Research Article | Open Access

Some properties of the generalized max Frank matrices

Department of Mathematics, Science and Arts Faculty, Bitlis Eren University, Bitlis, Turkey
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Abstract

In this paper, we introduce a new generalization of the Frank matrix, which is a lower Hessenberg matrix called the generalized max r-Frank matrix. We obtain a recurrence relation provided by the characteristic polynomial, inverse, determinant, and norm properties of this matrix. We also present an example to illustrate the results obtained.

Keywords

Frank matrixmax matrixmax r-Frank matrixdeterminantinversenorm
CLC number: 15A09, 15A15, 15A60, 15B99

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AIMS Mathematics
Volume 9 Issue 10,
October 2024
Pages 26826-26835
DOI: 10.3934/math.20241305

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Gökbaş H. Some properties of the generalized max Frank matrices. AIMS Mathematics, 2024, 9(10): 26826-26835. https://doi.org/10.3934/math.20241305

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Received: 30 July 2024
Revised: 02 September 2024
Accepted: 05 September 2024
Published: 15 October 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)