The q -Pilbert matrix

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Show simple item record Kilic E. Prodinger H. 2012-07-05T08:01:49Z 2012-07-05T08:01:49Z 2012
dc.identifier.citation International Journal of Computer Mathematics
dc.identifier.citation 89
dc.identifier.citation 10
dc.identifier.citation 1370
dc.identifier.citation 1377
dc.identifier.issn 207160
dc.identifier.other doi:10.1080/00207160.2012.687724
dc.description.abstract A 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.subject Cholesky decomposition
dc.subject Fibonacci numbers
dc.subject Filbert matrix
dc.subject LU-decomposition
dc.subject q -analogues
dc.subject Zeilberger's algorithm
dc.title The q -Pilbert matrix
dc.type Article
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