Abstract

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

DOI

10.3906/mat-1504-30

Keywords

Pascal matrix, LU-decomposition, $q$-analogue, Zeilberger's algorithm

First Page

986

Last Page

994

Recommended Citation

PRODINGER, H (2016). Factorizations related to the reciprocal Pascal matrix. Turkish Journal of Mathematics 40 (5): 986-994. https://doi.org/10.3906/mat-1504-30

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