In mathematics, the conjugate gradient method is an algorithm for the numerical solution of particular systems of linear equations, namely thoseâ€¦Â (More)

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Highly Cited

2008

Highly Cited

2008

- Trond Steihaug Source
- 2008

Algorithms based on trust regions have been shown to be robust methods for unconstrained optimization problems. All existingâ€¦Â (More)

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Highly Cited

2003

Highly Cited

2003

- Jeffrey Bolz, Ian Farmer, Eitan Grinspun, Peter SchrÃ¶der
- SIGGRAPH Courses
- 2003

Many computer graphics applications require high-intensity numerical simulation. We show that such computations can be performedâ€¦Â (More)

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Highly Cited

2001

Highly Cited

2001

- Andrew V. Knyazev
- SIAM J. Scientific Computing
- 2001

Numerical solution of extremely large and ill conditioned eigenvalue problems is attracting a growing attention recently as suchâ€¦Â (More)

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Highly Cited

2001

Highly Cited

2001

- 2001

The advent of electronic computers in the middle of the 20th century stimulated a flurry of activity in developing numericalâ€¦Â (More)

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Highly Cited

2000

Highly Cited

2000

- Michele Benzi, Jane Cullum, Miroslav Tuma
- SIAM J. Scientific Computing
- 2000

We present a variant of the AINV factorized sparse approximate inverse algorithm which is applicable to any symmetric positiveâ€¦Â (More)

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Highly Cited

1999

Highly Cited

1999

- Gene H. Golub, Qiang Ye
- SIAM J. Scientific Computing
- 1999

An important variation of preconditioned conjugate gradient algorithms is inexact precon-ditioner implemented with inner-outerâ€¦Â (More)

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Highly Cited

1999

Highly Cited

1999

- Mary Ann Branch, Thomas F. Coleman, Yuying Li
- SIAM J. Scientific Computing
- 1999

A subspace adaptation of the Coleman-Li trust region and interior method is proposed for solving large-scale bound-constrainedâ€¦Â (More)

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Highly Cited

1997

Highly Cited

1997

- Luigi Grippo, Stefano Lucidi
- Math. Program.
- 1997

1 ABSTRACT In this paper we propose a new line search algorithm that ensures global convergence of the Polak-Ribi ere conjugateâ€¦Â (More)

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Highly Cited

1996

Highly Cited

1996

- Michele Benzi, Carl Dean Meyer, Miroslav Tuma
- SIAM J. Scientific Computing
- 1996

A method for computing a sparse incomplete factorization of the inverse of a symmetric positive definite matrix A is developedâ€¦Â (More)

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Highly Cited

1991

Highly Cited

1991

- MARTIN FODSLETTE MEILLER
- 1991

-A supervised learning algorithm (Scaled Conjugate Gradient, SCG) is introduced TIw pelformance of SCG is benchmarked againstâ€¦Â (More)

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