A new algorithm for linear systems of the Pascal typed

作者:Lv, Xiao Guang; Huang, Ting Zhu*; Ren, Zhi Gang
来源:Journal of Computational and Applied Mathematics, 2009, 225(1): 309-315.
DOI:10.1016/j.cam.2008.07.045

摘要

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.