dc.contributor.author | Yamaç Akbıyık, Seda | |
dc.contributor.author | Akbıyık, Mücahit | |
dc.contributor.author | Yılmaz, Fatih | |
dc.date.accessioned | 2023-07-06T16:54:54Z | |
dc.date.available | 2023-07-06T16:54:54Z | |
dc.date.issued | 2021 | en_US |
dc.identifier.issn | 2227-7390 | |
dc.identifier.uri | https://hdl.handle.net/11363/4957 | |
dc.description.abstract | The 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.language.iso | eng | en_US |
dc.publisher | MDPI, ST ALBAN-ANLAGE 66, CH-4052 BASEL, SWITZERLAND | en_US |
dc.relation.isversionof | 10.3390/math9050539 | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 United States | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/us/ | * |
dc.subject | harmonic pell number | en_US |
dc.subject | spectral norm | en_US |
dc.subject | hadamard inverse | en_US |
dc.subject | permanent | en_US |
dc.subject | determinant | en_US |
dc.title | One Type of Symmetric Matrix with Harmonic Pell Entries, Its Inversion, Permanents and Some Norms | en_US |
dc.type | article | en_US |
dc.relation.ispartof | Mathematics | en_US |
dc.department | Mühendislik ve Mimarlık Fakültesi | en_US |
dc.authorid | https://orcid.org/0000-0003-1797-674X | en_US |
dc.authorid | https://orcid.org/0000-0002-0256-1472 | en_US |
dc.authorid | https://orcid.org/0000-0001-7873-1979 | en_US |
dc.identifier.volume | 9 | en_US |
dc.identifier.issue | 5 | en_US |
dc.identifier.startpage | 1 | en_US |
dc.identifier.endpage | 15 | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.contributor.institutionauthor | Yamaç Akbıyık, Seda | |