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Krylov subspace

Known as: Krylov, 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… Expand
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Highly Cited
2010
Highly Cited
2010
Krylov subspace methods (KSMs) are iterative algorithms for solving large, sparse linear systems and eigenvalue problems. Current… Expand
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Highly Cited
2010
Highly Cited
2010
The numerical solution of linear systems with certain tensor product structures is considered. Such structures arise, for example… Expand
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Highly Cited
2006
Highly Cited
2006
Many problems in science and engineering require the solution of a long sequence of slowly changing linear systems. We propose… Expand
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Highly Cited
2005
Highly Cited
2005
This paper describes the use of Krylov subspace methods in the model reduction of power systems. Additionally, a connection… Expand
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Highly Cited
2002
Highly Cited
2002
In this paper we analyze the null-space projection (constraint) indefinite preconditioner applied to the solution of large-scale… Expand
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Highly Cited
1997
Highly Cited
1997
This dissertation focuses on e ciently forming reduced-order models for large, linear dynamic systems. Projections onto unions of… Expand
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Highly Cited
1995
Highly Cited
1995
Approximations to the solution of a large sparse symmetric system of equations are considered. The conjugate gradient and minimum… Expand
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Highly Cited
1992
Highly Cited
1992
In this note a theoretical analysis of some Krylov subspace approximations to the matrix exponential operation $\exp (A)v$ is… Expand
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Highly Cited
1990
Highly Cited
1990
Several implementations of Newton-like iteration schemes based on Krylov subspace projection methods for solving nonlinear… Expand
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Highly Cited
1981
Highly Cited
1981
Some algorithms based upon a projection process onto the Krylov subspace K/sub m/ = Span(r/sub 0/, Ar/sub 0/,..., A/sup m-1/r/sub… Expand
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