A generalisation of a Filbert matrix with three additional parameters
Helmut Prodinger · Transactions of the Royal Society of South Africa · 2010
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).