Some properties of the generalized max Frank matrices

Hasan Gökbaş; Hasan Gökbaş

doi:10.3934/math.20241305

AIMS Mathematics

2024, Volume 9, Issue 10: 26826-26835. doi: 10.3934/math.20241305

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Research article

Some properties of the generalized max Frank matrices

Hasan Gökbaş ^,

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

Received: 30 July 2024 Revised: 02 September 2024 Accepted: 05 September 2024 Published: 14 September 2024
MSC : 15A09, 15A15, 15A60, 15B99

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.
- Frank matrix,
- max matrix,
- max $ r $-Frank matrix,
- determinant,
- inverse,
- norm
Citation: Hasan Gökbaş. Some properties of the generalized max Frank matrices[J]. AIMS Mathematics, 2024, 9(10): 26826-26835. doi: 10.3934/math.20241305

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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.

References

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