# Lanczos algorithm

## Papers overview

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Highly Cited

2010

Highly Cited

2010

- 2010

The Lanczos algorithm is becoming accepted as a powerful tool for finding the eigenvalues and for solving linear systems ofâ€¦Â (More)

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Highly Cited

2006

Highly Cited

2006

- SIAM J. Scientific Computing
- 2006

The Lanczos method is an iterative procedure to compute an orthogonal basis for the Krylov subspace generated by a symmetricâ€¦Â (More)

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Highly Cited

2000

Highly Cited

2000

- SIAM J. Matrix Analysis Applications
- 2000

In this paper, we propose a restarted variant of the Lanczos method for symmetric eigenvalue problems named the thick-restartâ€¦Â (More)

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Highly Cited

1999

Highly Cited

1999

- SIAM Journal on Optimization
- 1999

The approximate minimization of a quadratic function within an ellipsoidal trust region is an important subproblem for manyâ€¦Â (More)

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1997

1997

- ISSAC
- 1997

Las Vegas algorithms that are basedon Lanczosâ€™s method for solving symmetric linear systems are presented and analyzed. Theseâ€¦Â (More)

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Highly Cited

1996

Highly Cited

1996

- Numerical Algorithms
- 1996

This paper presents a model reduction method for large-scale linear systems that is based on a Lanczos-type approach. A variantâ€¦Â (More)

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Highly Cited

1994

Highly Cited

1994

- 1994

In this paper we show that the two-sided Lanczos procedure combined with implicit restarts, offers significant advantages overâ€¦Â (More)

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Highly Cited

1994

Highly Cited

1994

- 1994

The Lanczos process is a well known technique for computing a few, say k, eigenvalues and associated eigenvectors of a largeâ€¦Â (More)

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Highly Cited

1993

Highly Cited

1993

- SIAM J. Scientific Computing
- 1993

In Part I [6] of this paper, we have presented an implementation of the look-ahead Lanczos algorithm for non-Hermitian matricesâ€¦Â (More)

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Highly Cited

1992

Highly Cited

1992

- 1992

Our problem is to compute an approximation to the largest eigenvalue of an n n large symmetric positive deenite matrix withâ€¦Â (More)

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