A generalized filbert matrix

Emrah K. ; Prodinger H. (2010)


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.

Please refer to this item in SUNScholar by using the following persistent URL: http://hdl.handle.net/10019.1/21275
This item appears in the following collections: