Turkish Journal of Mathematics
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