Explicit determinantal formula for a class of banded matrices

Yerlan Amanbek; Zhibin Du; Yogi Erlangga; Carlos M. Da Fonseca; Bakytzhan Kurmanbek; António Pereira

doi:10.1515/math-2020-0100

Explicit determinantal formula for a class of banded matrices

Yerlan Amanbek, Zhibin Du, Yogi Erlangga, Carlos M. Da Fonseca, Bakytzhan Kurmanbek, António Pereira

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

Abstract

In this short note, we provide a brief proof for a recent determinantal formula involving a particular family of banded matrices.

Original language	English
Pages (from-to)	1227-1229
Number of pages	3
Journal	Open Mathematics
Volume	18
Issue number	1
DOIs	https://doi.org/10.1515/math-2020-0100
Publication status	Published - Jan 1 2020

Funding

Yerlan Amanbek wishes to acknowledge the research Grant No. AP08052762, from the Ministry of Education and Science of the Republic of Kazakhstan and the FDCRG (Grant No. 110119FD4502). Zhibin Du was supported by the National Natural Science Foundation of China (Grant No. 11701505).

Keywords

Chebyshev polynomials of second kind
determinant
pentadiagonal matrices

ASJC Scopus subject areas

General Mathematics

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10.1515/math-2020-0100

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title = "Explicit determinantal formula for a class of banded matrices",

abstract = "In this short note, we provide a brief proof for a recent determinantal formula involving a particular family of banded matrices. ",

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AU - Amanbek, Yerlan

AU - Du, Zhibin

AU - Erlangga, Yogi

AU - Da Fonseca, Carlos M.

AU - Kurmanbek, Bakytzhan

AU - Pereira, António

N1 - Funding Information: Yerlan Amanbek wishes to acknowledge the research Grant No. AP08052762, from the Ministry of Education and Science of the Republic of Kazakhstan and the FDCRG (Grant No. 110119FD4502). Zhibin Du was supported by the National Natural Science Foundation of China (Grant No. 11701505). Publisher Copyright: © 2020 Yerlan Amanbek et al., published by De Gruyter 2020. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.

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Y1 - 2020/1/1

N2 - In this short note, we provide a brief proof for a recent determinantal formula involving a particular family of banded matrices.

AB - In this short note, we provide a brief proof for a recent determinantal formula involving a particular family of banded matrices.

KW - Chebyshev polynomials of second kind

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KW - pentadiagonal matrices

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Explicit determinantal formula for a class of banded matrices

Abstract

Funding

Keywords

ASJC Scopus subject areas

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