Factorizations related to the reciprocal Pascal matrix

Published 23 Feb 2015 in math.CO | (1502.06333v1)

Abstract: The reciprocal Pascal matrix has entries $\binom{i+j}{j}^{-1}$. Explicit formullae for its LU-decomposition, the LU-decomposition of its inverse, and some related matrices are obtained. For all results, $q$-analogues are also presented.

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Helmut Prodinger

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