Circulant m-Diagonal Matrices Associated with Chebyshev Polynomials

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dc.contributor.authorÖteleş, Ahmet
dc.date.accessioned2024-04-24T19:13:06Z
dc.date.available2024-04-24T19:13:06Z
dc.date.issued2021
dc.departmentDicle Üniversitesien_US
dc.description.abstractIn this study, we deal with an m banded circulant matrix, generally called circulant mdiagonal matrix. This special family of circulant matrices arise in many applications suchas prediction, time series analysis, spline approximation, difference solution of partialdifferential equations, and so on. We firstly obtain the statements of eigenvalues andeigenvectors of circulant m-diagonal matrix based on the Chebyshev polynomials of thefirst and second kind. Then we present an efficient formula for the integer powers of thismatrix family depending on the polynomials mentioned above. Finally, some illustrativeexamples are given by using maple software, one of computer algebra systems (CAS).en_US
dc.identifier.doi10.33401/fujma.809913
dc.identifier.endpage58en_US
dc.identifier.issn2645-8845
dc.identifier.issue1en_US
dc.identifier.startpage49en_US
dc.identifier.trdizinid434101
dc.identifier.urihttps://doi.org/10.33401/fujma.809913
dc.identifier.urihttps://search.trdizin.gov.tr/yayin/detay/434101
dc.identifier.urihttps://hdl.handle.net/11468/28355
dc.identifier.volume4en_US
dc.indekslendigikaynakTR-Dizin
dc.language.isoenen_US
dc.relation.ispartofFundamental journal of mathematics and applications (Online)
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.titleCirculant m-Diagonal Matrices Associated with Chebyshev Polynomialsen_US
dc.titleCirculant m-Diagonal Matrices Associated with Chebyshev Polynomials
dc.typeArticleen_US

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