The q -Pilbert matrix
Date
2012
Authors
Kilic E.
Prodinger H.
Journal Title
Journal ISSN
Volume Title
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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.
Description
Keywords
Cholesky decomposition, Fibonacci numbers, Filbert matrix, LU-decomposition, q -analogues, Zeilberger's algorithm
Citation
International Journal of Computer Mathematics
89
10
1370
1377
89
10
1370
1377