Reduction formulas for permanents and determinants of k-tridiagonal Toeplitz matrices

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dc.authoridhttps://orcid.org/0000-0001-6816-6478
dc.contributor.authorAhmet Zahid Küçük
dc.date.accessioned2025-01-16T08:32:38Z
dc.date.available2025-01-16T08:32:38Z
dc.date.issued2024-12-25
dc.departmentFakülteler, Fen Fakültesi, Matematik Bölümü
dc.description.abstractThis study presents some results on the permanents of k-tridiagonal matrices with the Toeplitz structure. Our investigation establishes significant connections between the permanents of this matrix family and their reduced forms in terms of bandwidth and order. We extend the investigation also to the determinants of this matrix family in this context. Moreover, we demonstrate that some subforms of k-tridiagonal Toeplitz permanents can be effectively computed using the Pascal and Lucas triangles. Finally, we make a significant contribution by revealing an integer sequence related to Fibonacci numbers, derived by analyzing the permanents of some subforms of k-tridiagonal Toeplitz matrices.
dc.identifier.citationKüçük, A.Z. (2024). Reduction formulas for permanents and determinants of k-tridiagonal Toeplitz matrices. Indian Journal of Pure and Applied Mathematics.
dc.identifier.doi10.1007/s13226-024-00740-y
dc.identifier.issn0019-5588
dc.identifier.issn0975-7465
dc.identifier.scopus2-s2.0-85212929489
dc.identifier.scopusqualityQ3
dc.identifier.urihttps://doi.org/10.1007/s13226-024-00740-y
dc.identifier.urihttps://hdl.handle.net/20.500.14619/14996
dc.identifier.wosWOS:001382377600001
dc.identifier.wosqualityQ4
dc.indekslendigikaynakScopus
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherIndian National Science Academy
dc.relation.ispartofIndian Journal of Pure and Applied Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectDeterminant
dc.subjectFibonacci numbers
dc.subjectk-tridiagonal matrix
dc.subjectLucas triangle
dc.subjectPascal triangle
dc.subjectPermanent
dc.subjectToeplitz matrix
dc.titleReduction formulas for permanents and determinants of k-tridiagonal Toeplitz matrices
dc.typeArticle

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