Letter to the editor: A new algorithm for linear systems of the Pascal type

Authors:
Xiao-Guang Lv;Ting-Zhu Huang;Zhi-Gang Ren
Affiliations:
School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu, Sichuan, 610054, China;School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu, Sichuan, 610054, China;School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu, Sichuan, 610054, China
Venue:
Journal of Computational and Applied Mathematics
Year:
2009

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Abstract

In this paper, we give an algorithm for solving linear systems of the Pascal matrices. The method is based on the explicit factorization of the Pascal matrices. The algorithm costs no multiplications and O(n^2) additions. The linear systems of the generalized Pascal matrices are also considered. Some examples are given.