D-iteration method or how to improve Gauss-Seidel method

Details D-iteration method or how to improve Gauss-Seidel method D-iteration method or how to improve Gauss-Seidel method

2012-02-06

arxiv.org/abs/1202.1163v2

Mathematics

Numerical Analysis

7 pages

Scientific paper

The aim of this paper is to present the recently proposed fluid diffusion based algorithm in the general context of the matrix inversion problem associated to the Gauss-Seidel method. We explain the simple intuitions that are behind this diffusion method and how it can outperform existing methods. Then we present some theoretical problems that are associated to this representation as open research problems. We also illustrate some connected problems such as the graph transformation and the PageRank problem.

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