Explicit Determinantal Formula for a Class of Banded Matrices

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dc.contributor.authorYerlan Amanbek
dc.contributor.authorZhibin Du
dc.contributor.authorYogi Erlangga
dc.contributor.authorCarlos M. da Fonseca
dc.contributor.authorBakytzhan Kurmanbek
dc.contributor.authorAntónio Pereira
dc.date.accessioned2025-08-19T12:39:36Z
dc.date.available2025-08-19T12:39:36Z
dc.date.issued2020-01-01
dc.description.abstract This short note presents a concise proof of a recently proposed explicit formula for the determinant of a particular family of banded (pentadiagonal) matrices, structured with parameters a and b and within a Hessenberg-like layout. The formula expresses det Aₙ in terms of congruence classes of n modulo 4, with closed forms: (a−1)² if n≡0, a² + b + 1 if n≡1, a² + 2a−b if n≡2, and a² if n≡3. en
dc.identifier.citation Amanbek Y, Du Z, Erlangga Y, da Fonseca CM, Kurmanbek B, Pereira A (2020). Explicit Determinantal Formula for a Class of Banded Matrices. Open Mathematics, 18(1):1227–1229. doi:10.1515/math-2020-0100 en
dc.identifier.doi10.1515/math-2020-0100
dc.identifier.urihttps://doi.org/10.1515/math-2020-0100
dc.identifier.urihttps://nur.nu.edu.kz/handle/123456789/9616
dc.language.isoen
dc.publisherDe Gruyter
dc.relation.ispartofOpen Mathematicsen
dc.sourceOpen Mathematics, 18(1), 1227–1229, (2020)en
dc.subjectdeterminant, pentadiagonal matrices, Chebyshev polynomials of second kind en
dc.titleExplicit Determinantal Formula for a Class of Banded Matricesen
dc.typeJournal Articleen

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