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Gauss–Seidel method

Known as: Gauss seidel, Gauss-seidal, Gauss-Seidel method 
In numerical linear algebra, the Gauss–Seidel method, also known as the Liebmann method or the method of successive displacement, is an iterative… 
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Related topics

Related topics

28 relations
Aberth methodBelief propagationChebyshev iterationConvergent matrix

Broader (1)

Numerical linear algebra

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2012
2012
D-iteration method or how to improve Gauss-Seidel method
The aim of this paper is to present the recently proposed fluid diffusion based algorithm in the general context of the matrix… 
Review
2008
Review
2008
Solving radiative transfer with line overlaps using Gauss-Seidel algorithms
Context. The improvement in observational facilities requires refining the modelling of the geometrical structures of… 
2006
2006
PRECONDITIONED GAUSS-SEIDEL TYPE ITERATIVE METHOD FOR SOLVING LINEAR SYSTEMS
The preconditioned Gauss-Seidel type iterative method for solving linear systems, with the proper choice of the preconditioner… 
2003
2003
Interchannel interference cancellation in wireless OFDM systems via Gauss-Seidel method
In a mobile fading environment, the time variation of the wireless channels is a dominating factor that leads to the system… 
Highly Cited
2000
Highly Cited
2000
Preconditioned iterative methods and finite difference schemes for convection-diffusion
1995
1995
Interval Linear Constraint Solving Using the Preconditioned Interval Gauss-Seidel Method
We propose the use of the preconditioned interval Gauss-Seidel method as the backbone of an eecient linear equality solver in a… 
1988
1988
Estimates for multigrid methods based on red-black Gauss-Seidel smoothings
SummaryTheMGR[v] algorithms of Ries, Trottenberg and Winter, the Algorithms 2.1 and 6.1 of Braess and the Algorithm 4.1 of Verf… 
Highly Cited
1976
Highly Cited
1976
Backward error analysis for totally positive linear systems
SummaryGauss elimination applied to ann×n matrixA in floating point arithmetic produces (if successful) a factorization $$\hat L… 
1973
1973
A Methods Note on the Gauss-Seidel Algorithm for Solving Econometric Models
A particular numerical analytical technique for solving systems of simultaneous equations which offers several advantages to the… 
Review
1970
Review
1970
Sparsity-Directed Decomposition for Gaussian Elimination on Matrices
This is a concise critical survey of the theory and practice relating to the ordered Gaussian elimination on sparse systems. A… 
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