The q -Pilbert matrix

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dc.contributor.authorKilic E.
dc.contributor.authorProdinger H.
dc.date.accessioned2012-07-05T08:01:49Z
dc.date.available2012-07-05T08:01:49Z
dc.date.issued2012
dc.description.abstractA generalized Filbert matrix is introduced, sharing properties of the Hilbert matrix and Fibonacci numbers. Explicit formulae are derived for the LU-decomposition and their inverses, as well as the Cholesky decomposition. The approach is to use q-analysis and to leave the justification of the necessary identities to the q-version of Zeilberger's celebrated algorithm. © 2012 Copyright Taylor and Francis Group, LLC.
dc.identifier.citationInternational Journal of Computer Mathematics
dc.identifier.citation89
dc.identifier.citation10
dc.identifier.citation1370
dc.identifier.citation1377
dc.identifier.issn207160
dc.identifier.otherdoi:10.1080/00207160.2012.687724
dc.identifier.urihttp://hdl.handle.net/10019.1/21583
dc.subjectCholesky decomposition
dc.subjectFibonacci numbers
dc.subjectFilbert matrix
dc.subjectLU-decomposition
dc.subjectq -analogues
dc.subjectZeilberger's algorithm
dc.titleThe q -Pilbert matrix
dc.typeArticle
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