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Jacobi method

Known as: Scheduled relaxation Jacobi method, Jacoby's method, Jacobi iteration 
In numerical linear algebra, the Jacobi method (or Jacobi iterative method) is an algorithm for determining the solutions of a diagonally dominant… 
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Related topics

Related topics

22 relations
Aberth methodAugmented Lagrangian methodBelief propagationConvergent matrix

Broader (1)

Numerical linear algebra

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2014
Highly Cited
2014
Exponentially accurate spectral and spectral element methods for fractional ODEs
Highly Cited
2012
Highly Cited
2012
Fast
Proc. Natl Acad. Sci. USA 104, 10288–10293 (2007) Worldwide emissions of man-made carbon dioxide are rising faster than even the… 
Highly Cited
2010
Highly Cited
2010
Cooperative Filters and Control for Cooperative Exploration
Autonomous mobile sensor networks are employed to measure large-scale environmental fields. Yet an optimal strategy for mission… 
Highly Cited
2007
Highly Cited
2007
Shape and topology optimization of compliant mechanisms using a parameterization level set method
Highly Cited
2006
Highly Cited
2006
Optimal Spectral-Galerkin Methods Using Generalized Jacobi Polynomials
We extend the definition of the classical Jacobi polynomials withindexes α, β>−1 to allow α and/or β to be negative integers. We… 
Highly Cited
2005
Highly Cited
2005
Volume Index
Review
2002
Review
2002
Symbolic computation of exact solutions expressible in hyperbolic and elliptic functions for nonlinear PDEs
Highly Cited
1997
Highly Cited
1997
General existence theorems for Hamilton-Jacobi equations in the scalar and vectorial cases
Keywords: Dirichlet problem ; Hamilton-Jacobi equation ; existence ; of solutions Reference CAA-ARTICLE-1997-002doi:10.1007… 
Highly Cited
1973
Highly Cited
1973
The convolution structure for Jacobi function expansions
The product ϕλ(α,β)(t1)ϕλ(α,β)(t2) of two Jacobi functions is expressed as an integral in terms of ϕλ(α,β)(t3) with explicit non… 
Highly Cited
1972
Highly Cited
1972
The Illiac IV system
The reasons for the creation of Illiac IV are described and the history of the Illiac IV project is recounted. The architecture… 
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