Arnoldi iteration

Known as: Arnoldi, Arnoldi decomposition, Arnoldi's algorithm 
In numerical linear algebra, the Arnoldi iteration is an eigenvalue algorithm and an important example of iterative methods. Arnoldi finds the… (More)
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2017
2017
Logistics 1. There is a typo in the hint in HW 5 p3; it should be addition, not subtraction. There is a generalization of the… (More)
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Highly Cited
2004
Highly Cited
2004
For the nonlinear eigenvalue problem T (λ)x = 0 we propose an iterative projection method for computing a few eigenvalues close… (More)
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2003
2003
A deflation procedure is introduced that is designed to improve the convergence of an implicitly restarted Arnoldi iteration for… (More)
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Highly Cited
2000
Highly Cited
2000
The generalized minimum residual method (GMRES) is well known for solving large nonsymmetric systems of linear equations. It… (More)
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Highly Cited
1998
Highly Cited
1998
The Davidson method is a popular preconditioned variant of the Arnoldi method for solving large eigenvalue problems. For… (More)
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Highly Cited
1996
Highly Cited
1996
A deeation procedure is introduced that is designed to improve the convergence of an implicitly restarted Arnoldi iteration for… (More)
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Highly Cited
1996
Highly Cited
1996
The Amoldi iteration, usually viewed as a method for calculating eigenvalues, can also be used to estimate pseudospectra. This… (More)
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Highly Cited
1996
Highly Cited
1996
The Arnoldi method computes eigenvalues of large nonsymmetric matrices. Restarting is generally needed to reduce storage… (More)
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Highly Cited
1992
Highly Cited
1992
The Arnoldi process is a well known technique for approximating a few eigenvalues and corresponding eigenvectors of a general… (More)
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Highly Cited
1991
Highly Cited
1991
Two recently developed Krylov methods for solving linear systems are Arnoldi’s method and the Generalized Minimum Residual (GMRES… (More)
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