THE GENERALIZED q-PILBERT MATRIX
نویسنده
چکیده
A generalized q-Pilbert matrix from [2] is further generalized, introducing one additional parameter. Explicit formulæ 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. However, the necessary identities have appeared already in [2] in disguised form, so that no new computations are necessary.
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