Results 171 to 180 of about 78,319 (219)

Model Reduction in Power Systems Using Krylov Subspace Methods

IEEE Transactions on Power Systems, 2005
This paper describes the use of Krylov subspace methods in the model reduction of power systems. Additionally, a connection between the Krylov subspace model reduction and coherency in power systems is proposed, aiming at retaining some physical ...
M A Pai
exaly   +2 more sources

Convergence of Restarted Krylov Subspaces to Invariant Subspaces [PDF]

SIAM Journal on Matrix Analysis and Applications, 2004
The authors prove estimates for the angle (strictly spoken: for the containment gap) between a searched invariant subspace of a general \(n\times n\) matrix and the subspace generated by Krylov subspace methods like the Arnoldi algorithm or the biorthogonal Lanczos algorithm.
Beattie Christopher, Mark Embree
exaly   +2 more sources

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Deflated and Augmented Krylov Subspace Techniques

Numerical Linear Algebra With Applications, 1997
[Shortened review. The full version is available at Zbl ] The paper deals with the general framework of augmenting the Krylov subspace method when solving large and sparse nonsymmetric systems of linear algebraic equations. Three techniques proposed in order to increase the robustness of Krylov subspace methods are explained from the unifying point of ...
Yousef Saad
exaly   +4 more sources

Krylov subspaces and the analytic grade

Numerical Linear Algebra with Applications, 2005
Typical behaviour of the solution of a linear system of equations obtained iteratively by Krylov methods can be characterized by three stages. Initially the residual diminishes steadily; this is followed by stagnation and finally rapid convergence near the algebraic grade.
Milos Ilic, Ian W. Turner
openaire   +2 more sources

Adaptive detectors in the Krylov subspace

Science China Information Sciences, 2014
The validity of the application of the Krylov subspace techniques in adaptive filtering and detection is investigated. A new verification of the equivalence of two well-known methods in the Krylov subspace, namely the multistage Wiener filters (MWF) and the auxiliary-vector filtering (AVF), is given in this paper.
Weijian Liu 0001, Wenchong Xie, Rongfeng Li, Zetao Wang, Yongliang Wang   +4 more
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On Moment Methods in Krylov Subspaces

Doklady Mathematics, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

A Krylov Subspace Method for Information Retrieval

SIAM Journal on Matrix Analysis and Applications, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Katarina Blom, Axel Ruhe
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Krylov subspace iteration

Computing in Science & Engineering, 2000
This survey article reviews the history and current importance of Krylov subspace iteration algorithms.
openaire   +2 more sources