A Note on the Norms of the GCD Matrix

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dc.contributor.authorTürkmen, Ramazan
dc.contributor.authorBozkurt, Durmuş
dc.date.accessioned2020-03-26T16:55:44Z
dc.date.available2020-03-26T16:55:44Z
dc.date.issued2004
dc.departmentSelçuk Üniversitesien_US
dc.description.abstractLet S={1, 2,..., n} be a set of positive integers. The n×n matrix [S]=(i, j), where sij =(xi, xj) the greatest common divisor of xi and xj, is called the greatest common divisor GCD matrix on S. In this study, we have obtained some bounds of norms of this matrix. In addition, we have obtained upper bounds of norms of the almost Hilbert-Smith GCD matrix is defined (S) = [(i, j)/ij]i, j=1n.en_US
dc.identifier.citationTürkmen, R., Bozkurt, D., (2004). A Note on the Norms of the GCD Matrix. Mathematical and Computational Applications, 9(2), 303-308.
dc.identifier.endpage308en_US
dc.identifier.issn1300-686Xen_US
dc.identifier.issue2en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage303en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12395/19321
dc.identifier.volume9en_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakTR-Dizinen_US
dc.language.isoenen_US
dc.relation.ispartofMathematical and Computational Applicationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.selcuk20240510_oaigen_US
dc.subjectGCD matrixen_US
dc.subjectHadamard Producten_US
dc.subjectMatrix Normen_US
dc.subjectPositive Definiteen_US
dc.subjectSingular Valuesen_US
dc.subjectUnitarily Invariant Normen_US
dc.titleA Note on the Norms of the GCD Matrixen_US
dc.typeArticleen_US

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