- Turkish Journal of Mathematics
- Vol: 40 Issue: 5
- Factorizations related to the reciprocal Pascal matrix
Factorizations related to the reciprocal Pascal matrix
Authors : Helmut Prodinger
Pages : 986-994
View : 7 | Download : 6
Publication Date : 9999-12-31
Article Type : Makaleler
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