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D-iteration method or how to improve Gauss-Seidel method
Hong D.
http://hal.archives-ouvertes.fr/hal-00667307
Preprint, Working Paper, ...
Computer Science/Numerical Analysis
Computer Science/Discrete Mathematics
Mathematics/Numerical Analysis
D-iteration method or how to improve Gauss-Seidel method
Dohy Hong 1
1:  Alcatel-Lucent Bell Labs France
Alcatel-Lucent Bell Labs France
Centre de Villarceaux, Route de Villejust, 91620, NOZAY, FRANCE
France
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.
English
2012-02-06

Computation – Iteration – Fixed point – Gauss-Seidel – Eigenvector.
G.1.3; G.2.2
7 pages

Fulltext link: 
http://fr.arXiv.org/abs/1202.1163