On solving linear systems of the Pascal type

被引：12

作者：

El-Mikkawy, MEA ^{[1
]}

机构：

[1] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2003年 / 136卷 / 01期

关键词：

Pascal matrix; matrices; Choleski's factorization; matrix inversion; dot product; MAPLE;

D O I：

10.1016/S0096-3003(02)00034-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the current paper we study the Pascal matrix of order n. An algorithm is developed to find its inverse in an explicit form. Another algorithm for solving any linear system with coefficient matrix of this type is also developed. An illustrative example for solving a linear system of the Pascal type is given for the case n = 6. The implementation of the two algorithms in MAPLE [MAPLE V Programming Reference Manual] is presented. (C) 2002 Elsevier Science Inc. All rights reserved.

引用

页码：195 / 202

页数：8