In linear algebra, the order-r Krylov subspace generated by an n-by-n matrix A and a vector b of dimension n is the linear subspace spanned by theâ€¦Â (More)

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Highly Cited

2010

Highly Cited

2010

Highly Cited

2010

- By Y. Saad, Y. Saad
- 2010

Some algorithms based upon a projection process onto the Krylov subspace Km = Span(r0, Ar^, .. . ,Am~>rÂ¿) are developedâ€¦Â (More)

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Highly Cited

2004

Highly Cited

2004

- Jasper van den Eshof, Gerard L. G. Sleijpen
- SIAM J. Matrix Analysis Applications
- 2004

There is a class of linear problems for which the computation of the matrix-vector product is very expensive since a timeâ€¦Â (More)

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Highly Cited

2003

Highly Cited

2003

- Valeria Simoncini, Daniel B. Szyld
- SIAM J. Scientific Computing
- 2003

We provide a general framework for the understanding of inexact Krylov subspace methods for the solution of symmetric andâ€¦Â (More)

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2002

2002

- SergueÃ¯ Burykh, Karim Abed-Meraim
- EURASIP J. Adv. Sig. Proc.
- 2002

A unified view of several recently introduced reduced-rank adaptive filters is presented. As all considered methods use Krylovâ€¦Â (More)

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Highly Cited

2001

Highly Cited

2001

In this paper, we propose <italic>preconditioned Krylov-subspace iterative methods</italic> to perform efficient DC and transientâ€¦Â (More)

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Highly Cited

1999

Highly Cited

1999

- Eric de Sturler
- 1999

Optimal Krylov subspace methods like GMRES and GCR have to compute an orthogonal basis for the entire Krylov subspace to computeâ€¦Â (More)

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Highly Cited

1997

Highly Cited

1997

- Andrew Chapman, Yousef Saad
- Numerical Lin. Alg. with Applic.
- 1997

We present a general framework for a number of techniques based on projection methods onÃ ugmented Krylov subspaces'. Theseâ€¦Â (More)

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Highly Cited

1995

Highly Cited

1995

- Yousef Saad
- 1995

Residual norm estimates are derived for a general class of methods based on projection techniques on subspaces of the form K mâ€¦Â (More)

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Highly Cited

1992

Highly Cited

1992

- Y. Saad
- 1992

In this note we present a theoretical analysis of some Krylov subspace approximations to the matrix exponential operation exp(A)vâ€¦Â (More)

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