Factorizations related to the reciprocal Pascal matrix

被引：2

作者：

Prodinger, Helmut ^{[1
]}

机构：

[1] Univ Stellenbosch, Dept Math, Stellenbosch, South Africa

来源：

TURKISH JOURNAL OF MATHEMATICS | 2016年 / 40卷 / 05期

关键词：

Pascal matrix; LU-decomposition; q-analogue; Zeilberger's algorithm;

D O I：

10.3906/mat-1504-30

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The reciprocal Pascal matrix has entries (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.

引用

页码：986 / 994

页数：9