Factorizations related to the reciprocal Pascal matrix

Authors

HELMUT PRODINGER

DOI

10.3906/mat-1504-30

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.

Keywords

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

First Page

986

Last Page

994

Recommended Citation

PRODINGER, HELMUT (2016) "Factorizations related to the reciprocal Pascal matrix," Turkish Journal of Mathematics: Vol. 40: No. 5, Article 5. https://doi.org/10.3906/mat-1504-30
Available at: https://journals.tubitak.gov.tr/math/vol40/iss5/5