Factorizations related to the reciprocal Pascal matrix

preprint2015arXivOpen access

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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Factorizations related to the reciprocal Pascal matrix

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