Results 1 to 10 of about 12,661,880 (175)
Flexible Inner-Outer Krylov Subspace Methods [PDF]
SIAM Journal on Numerical Analysis, 2002 Flexible Krylov methods refer to a class of methods which accept preconditioning that can change from one step to the next. An important special case is found when a fixed preconditioner is only approximated and the approximation changes from one step to the next.
Simoncini V., Szyld D. B.
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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 ...
Chaniotis, D., Pai, M. A.
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A Framework for Deflated and Augmented Krylov Subspace Methods [PDF]
SIAM Journal on Matrix Analysis and Applications, 2013 We consider deflation and augmentation techniques for accelerating the convergence of Krylov subspace methods for the solution of nonsingular linear algebraic systems. Despite some formal similarity, the two techniques are conceptually different from preconditioning.
André Gaul +3 more
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Recent computational developments in Krylov subspace methods for linear systems [PDF]
Numerical Linear Algebra With Applications, 2007 Many advances in the development of Krylov subspace methods for the iterative solution of linear systems during the last decade and a half are reviewed. These new developments include different versions of restarted, augmented, deflated, flexible, nested,
Daniel B. Szyld, Valeria Simoncini
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On the Occurrence of Superlinear Convergence of Exact and Inexact Krylov Subspace Methods
SIAM Review, 2005 We present a general analytical model which describes the superlinear convergence of Krylov subspace methods. We take an invariant subspace approach, so that our results apply also to inexact methods, and to non-diagonalizable matrices.
Daniel B. Szyld, Valeria Simoncini
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IDR: A new generation of Krylov subspace methods?
Linear Algebra and its Applications, 2013 Die Induzierte Dimensions-Reduktions-Technik (IDR-Technik), entwickelt von Sonneveld und van Gijzen, ist ein mächtiges Konzept, welches in einer Unzahl von Transponierten-freien Krylov-Unterraum-Verfahren basierend auf kurzen Rekursionen gipfelt. Wir stellen die wesentlichen Unterschiede zwischen und Gemeinsamkeiten von IDR-Methoden und klassischen ...
Rendel, Olaf +2 more
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Preconditioners for Krylov subspace methods: An overview [PDF]
GAMM-Mitteilungen, 2020 AbstractWhen simulating a mechanism from science or engineering, or an industrial process, one is frequently required to construct a mathematical model, and then resolve this model numerically. If accurate numerical solutions are necessary or desirable, this can involve solving large‐scale systems of equations.
Pearson, John W., Pestana, Jennifer
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Kaczmarz method for saddle point systems [PDF]
E3S Web of Conferences, 2021 The Kaczmarz method is presented for solving saddle point systems. The convergence is analyzed. Numerical examples, compared with classical Krylov subspace methods, SOR-like method (2001) and recent modified SOR-like method (2014), show that the Kaczmarz
Wang Jinmei, Yin Lizi, Wang Ke
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A dual reduction strategy for reduce-order modeling of periodic control system
Results in Control and Optimization, 2021 Model order reduction (MOR) of periodic systems using the Krylov subspace methods received lots of interest in last few decades. In this paper, a structured Krylov subspace based model reduction for linear discrete-time periodic (LDTP) control system has
Mohammad-Sahadet Hossain +2 more
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Nuclear Engineering and Technology, 2022 In this paper, a new multi-group neutron-gamma transport calculation code system STRAUM-MATXST for complicated geometrical problems is introduced and its development status including numerical tests is presented.
MyeongHyeon Woo, Ser Gi Hong
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