The q -Pilbert matrix

SUNScholar Research Repository

Show simple item record

dc.contributor.author Kilic E.
dc.contributor.author Prodinger H.
dc.date.accessioned 2012-07-05T08:01:49Z
dc.date.available 2012-07-05T08:01:49Z
dc.date.issued 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.identifier.uri http://hdl.handle.net/10019.1/21583
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


Files in this item

Files Size Format View

There are no files associated with this item.

This item appears in the following Collection(s)

Show simple item record