Abstract
ABSTRACT A generalised Filbert matrix from Kilic & Prodinger (2010) is further generalised, introducing three additional parameters. Explicit formulae are derived for the LU-decomposition, their inverses, and the Cholesky factorisation. The approach is to use q-analysis; the necessary identities are clarified through two examples and can otherwise be left to automatic proofs (q-Zeilberger algorithm).
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