One Type of Symmetric Matrix with Harmonic Pell Entries, Its Inversion, Permanents and Some Norms

dc.authorid43595en_US
dc.authorid55070en_US
dc.contributor.authorAkbıyık, Mücahit
dc.contributor.authorYamaç Akbıyık, Seda
dc.contributor.authorYılmaz, Fatih
dc.date.accessioned2021-04-19T12:15:18Z
dc.date.available2021-04-19T12:15:18Z
dc.date.issued2021
dc.departmentİstanbul Beykent Üniversitesien_US
dc.description.abstractThe Pell numbers, named after the English diplomat and mathematician John Pell, are studied by many authors. At this work, by inspiring the definition harmonic numbers, we define harmonic Pell numbers. Moreover, we construct one type of symmetric matrix family whose elements are harmonic Pell numbers and its Hadamard exponential matrix. We investigate some linear algebraic properties and obtain inequalities by using matrix norms. Furthermore, some summation identities for harmonic Pell numbers are obtained. Finally, we give a MATLAB-R2016a code which writes the matrix with harmonic Pell entries and calculates some norms and bounds for the Hadamard exponential matrix.en_US
dc.identifier.citationMathematics 2021, 9, 539.en_US
dc.identifier.doi10.3390/math9050539
dc.identifier.scopus2-s2.0-85102754606en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.urihttps://doi.org/10.3390/math9050539
dc.identifier.wosWOS:000628351800001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherMDPIen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.subjectHarmonic pell numberen_US
dc.subjectSpectral normen_US
dc.subjectHadamard inverseen_US
dc.subjectPermanenten_US
dc.subjectDeterminanten_US
dc.titleOne Type of Symmetric Matrix with Harmonic Pell Entries, Its Inversion, Permanents and Some Normsen_US
dc.typeArticleen_US

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