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A new algorithm for linear systems of the Pascal type

✍ Scribed by Xiao-Guang Lv; Ting-Zhu Huang; Zhi-Gang Ren

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
388 KB
Volume
225
Category
Article
ISSN
0377-0427

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✦ Synopsis

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.

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## Abstract An algorithm based on a small matrix approach to the solution of a system of inhomogeneous linear algebraic equations is developed and tested in this short communication. The solution is assumed to lie in an initial subspace and the dimension of the subspace is augmented iteratively by