Lanczos algorithm

Known as: Block Lanczos, Lanczos iteration, Lanczos method 
The Lanczos algorithm is a direct algorithm devised by Cornelius Lanczos that is an adaptation of power methods to find the most useful eigenvalues… (More)
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Related topics

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26 relations
ARPACKArnoldi iterationBidiagonalizationBlock Lanczos algorithm
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Broader (1)

Numerical linear algebra

Papers overview

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Highly Cited
2010
Highly Cited
2010
The Lanczos Algorithm With Partial Reorthogonalization
The Lanczos algorithm is becoming accepted as a powerful tool for finding the eigenvalues and for solving linear systems of… (More)
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Highly Cited
2006
Highly Cited
2006
Preconditioning Lanczos Approximations to the Matrix Exponential
The Lanczos method is an iterative procedure to compute an orthogonal basis for the Krylov subspace generated by a symmetric… (More)
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Highly Cited
2000
Highly Cited
2000
Thick-Restart Lanczos Method for Large Symmetric Eigenvalue Problems
In this paper, we propose a restarted variant of the Lanczos method for symmetric eigenvalue problems named the thick-restart… (More)
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Highly Cited
1999
Highly Cited
1999
Solving the Trust-Region Subproblem using the Lanczos Method
The approximate minimization of a quadratic function within an ellipsoidal trust region is an important subproblem for many… (More)
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1997
1997
On Randomized Lanczos Algorithms
Las Vegas algorithms that are basedon Lanczos’s method for solving symmetric linear systems are presented and analyzed. These… (More)
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Highly Cited
1996
Highly Cited
1996
A rational Lanczos algorithm for model reduction
This paper presents a model reduction method for large-scale linear systems that is based on a Lanczos-type approach. A variant… (More)
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Highly Cited
1994
Highly Cited
1994
Asymptotic Waveform Evaluation via a Lanczos Method
In this paper we show that the two-sided Lanczos procedure combined with implicit restarts, offers significant advantages over… (More)
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Highly Cited
1994
Highly Cited
1994
AN IMPLICITLY RESTARTED LANCZOS METHOD FOR LARGE SYMMETRIC EIGENVALUE PROBLEMS
The Lanczos process is a well known technique for computing a few, say k, eigenvalues and associated eigenvectors of a large… (More)
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Highly Cited
1993
Highly Cited
1993
An Implementation of the Look-Ahead Lanczos Algorithm for Non-Hermitian Matrices
In Part I [6] of this paper, we have presented an implementation of the look-ahead Lanczos algorithm for non-Hermitian matrices… (More)
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Highly Cited
1992
Highly Cited
1992
Estimating the Largest Eigenvalue by the Power and Lanczos Algorithms with a Random Start
Our problem is to compute an approximation to the largest eigenvalue of an n n large symmetric positive deenite matrix with… (More)
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