A generalized filbert matrix
Date
2010
Authors
Emrah K.
Prodinger H.
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Abstract
A generalized Filbert matrix is introduced, sharing properties of the Hubert matrix and Fibonacci numbers. Explicit formulae are derived for the LU-decomposition, their inverses, and the Cholesky factorization. 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.
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Citation
Fibonacci Quarterly
48
1
29
33
48
1
29
33