Krylov subspace

Known as: Krylov sequence, Krylov space 
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 the… (More)
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Topic mentions per year

1985-2018
05010019852018

Papers overview

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Highly Cited
2010
Highly Cited
2010
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Highly Cited
2010
Highly Cited
2010
Some algorithms based upon a projection process onto the Krylov subspace Km = Span(r0, Ar^, .. . ,Am~>r¿) are developed… (More)
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Highly Cited
2004
Highly Cited
2004
There is a class of linear problems for which the computation of the matrix-vector product is very expensive since a time… (More)
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Highly Cited
2003
Highly Cited
2003
We provide a general framework for the understanding of inexact Krylov subspace methods for the solution of symmetric and… (More)
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2002
2002
A unified view of several recently introduced reduced-rank adaptive filters is presented. As all considered methods use Krylov… (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 transient… (More)
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Highly Cited
1999
Highly Cited
1999
Optimal Krylov subspace methods like GMRES and GCR have to compute an orthogonal basis for the entire Krylov subspace to compute… (More)
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Highly Cited
1997
Highly Cited
1997
We present a general framework for a number of techniques based on projection methods onàugmented Krylov subspaces'. These… (More)
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Highly Cited
1995
Highly Cited
1995
Residual norm estimates are derived for a general class of methods based on projection techniques on subspaces of the form K m… (More)
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Highly Cited
1992
Highly Cited
1992
In this note we present a theoretical analysis of some Krylov subspace approximations to the matrix exponential operation exp(A)v… (More)
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