Explicit determinantal formula for a class of banded matrices

Explicit determinantal formula for a class of banded matrices

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

Bibliographic Details
Main Authors: Amanbek Yerlan, Du Zhibin, Erlangga Yogi, da Fonseca Carlos M., Kurmanbek Bakytzhan, Pereira António
Format: Article
Language:English
Published: De Gruyter 2020-11-01
Series:Open Mathematics
Subjects:
determinant
pentadiagonal matrices
chebyshev polynomials of second kind
15a18
15b05
Online Access:https://doi.org/10.1515/math-2020-0100
id doaj-feb7eb4e3577492f8fe519924a72adf2
record_format Article
spelling doaj-feb7eb4e3577492f8fe519924a72adf22021-09-06T19:20:12ZengDe GruyterOpen Mathematics2391-54552020-11-011811227122910.1515/math-2020-0100math-2020-0100Explicit determinantal formula for a class of banded matricesAmanbek Yerlan0Du Zhibin1Erlangga Yogi2da Fonseca Carlos M.3Kurmanbek Bakytzhan4Pereira António5Nazarbayev University, Department of Mathematics, 53 Kabanbay Batyr Ave., Nur-Sultan, 010000, KazakhstanSchool of Software, South China Normal University, Foshan, Guangdong 528225, ChinaZayed University, Department of Mathematics, Abu Dhabi Campus, P.O. Box 144534, Abu Dhabi, United Arab EmiratesKuwait College of Science and Technology, Doha District, Block 4, P.O. Box 27235, Safat, 13133, KuwaitNazarbayev University, Department of Mathematics, 53 Kabanbay Batyr Ave., Nur-Sultan, 010000, KazakhstanDepartamento de Matemática, Universidade de Aveiro, Aveiro, 3810-193, PortugalIn this short note, we provide a brief proof for a recent determinantal formula involving a particular family of banded matrices.https://doi.org/10.1515/math-2020-0100determinantpentadiagonal matriceschebyshev polynomials of second kind15a1815b05
collection DOAJ
language English
format Article
sources DOAJ
author Amanbek Yerlan
Du Zhibin
Erlangga Yogi
da Fonseca Carlos M.
Kurmanbek Bakytzhan
Pereira António
spellingShingle Amanbek Yerlan
Du Zhibin
Erlangga Yogi
da Fonseca Carlos M.
Kurmanbek Bakytzhan
Pereira António
Explicit determinantal formula for a class of banded matrices
Open Mathematics
determinant
pentadiagonal matrices
chebyshev polynomials of second kind
15a18
15b05
author_facet Amanbek Yerlan
Du Zhibin
Erlangga Yogi
da Fonseca Carlos M.
Kurmanbek Bakytzhan
Pereira António
author_sort Amanbek Yerlan
title Explicit determinantal formula for a class of banded matrices
title_short Explicit determinantal formula for a class of banded matrices
title_full Explicit determinantal formula for a class of banded matrices
title_fullStr Explicit determinantal formula for a class of banded matrices
title_full_unstemmed Explicit determinantal formula for a class of banded matrices
title_sort explicit determinantal formula for a class of banded matrices
publisher De Gruyter
series Open Mathematics
issn 2391-5455
publishDate 2020-11-01
description In this short note, we provide a brief proof for a recent determinantal formula involving a particular family of banded matrices.
topic determinant
pentadiagonal matrices
chebyshev polynomials of second kind
15a18
15b05
url https://doi.org/10.1515/math-2020-0100
work_keys_str_mv AT amanbekyerlan explicitdeterminantalformulaforaclassofbandedmatrices
AT duzhibin explicitdeterminantalformulaforaclassofbandedmatrices
AT erlanggayogi explicitdeterminantalformulaforaclassofbandedmatrices
AT dafonsecacarlosm explicitdeterminantalformulaforaclassofbandedmatrices
AT kurmanbekbakytzhan explicitdeterminantalformulaforaclassofbandedmatrices
AT pereiraantonio explicitdeterminantalformulaforaclassofbandedmatrices
_version_ 1717777132138004480

Similar Items