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… (More)
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Highly Cited
2010
Highly Cited
2010
When considering classical solutions of boundary value problems for nonlinear first-order scalar partial differential equations… (More)
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Highly Cited
2005
Highly Cited
2005
We describe and implement an algorithm for computing the set of reachable states of a continuous dynamic game. The algorithm is… (More)
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Highly Cited
2001
Highly Cited
2001
We introduce a family of fast ordered upwind methods for approximating solutions to a wide class of static Hamilton-Jacobi… (More)
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Highly Cited
2000
Highly Cited
2000
In this paper we propose a new method for the iterative computation of a few of the extremal eigenvalues of a symmetric matrix… (More)
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Highly Cited
2000
Highly Cited
2000
In this paper, we present a weighted ENO (essentially non-oscillatory) scheme to approximate the viscosity solution of the… (More)
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Highly Cited
1999
Highly Cited
1999
In this paper, we present a discontinuous Galerkin finite clement method for solving the nonlinear Hamilton-Jacobi equations… (More)
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Highly Cited
1999
Highly Cited
1999
The eikonal equation and variants of it are of significant interest for problems in computer vision and image processing. It is… (More)
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Highly Cited
1996
Highly Cited
1996
Simultaneous diagonalization of several matrices can be implemented by a Jacobi-like technique. This note gives the required… (More)
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Highly Cited
1994
Highly Cited
1994
The Conjugate Gradient Method is the most prominent iterative method for solving sparse systems of linear equations… (More)
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Highly Cited
1992
Highly Cited
1992
We show that Jacobi's method (with a proper stopping criterion) computes small eigenvalues of symmetric positive de nite matrices… (More)
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