Search Results - "Sleijpen, GLG"

A Jacobi-Davidson Iteration Method for Linear Eigenvalue Problems by Gerard L. G. Sleijpen, Van der Vorst, Henk A.

“…In this paper we propose a new method for the iterative computation of a few of the extremal eigenvalues of a symmetric matrix and their associated…”
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Two-sided and alternating Jacobi–Davidson by Hochstenbach, Michiel E., Sleijpen, Gerard L.G.

“…We discuss two variants of a two-sided Jacobi–Davidson (JD) method, which have asymptotically cubic convergence for nonnormal matrices, and aim to find both…”
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Accurate conjugate gradient methods for families of shifted systems by van den Eshof, Jasper, Sleijpen, Gerard L.G.

“…We consider the solution of the linear system A T A +σ I x σ= A T b , for various real values of σ. This family of shifted systems arises, for example, in…”
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Relaxation strategies for nested Krylov methods by van den Eshof, Jasper, Sleijpen, Gerard L.G., van Gijzen, Martin B.

“…This paper studies computational aspects of Krylov methods for solving linear systems where the matrix–vector products dominate the cost of the solution…”
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On the use of harmonic Ritz pairs in approximating internal eigenpairs by Sleijpen, Gerard L.G., Eshof, Jasper van den

“…The goal of this paper is to increase our understanding of harmonic Rayleigh–Ritz for real symmetric matrices. We do this by discussing different, though…”
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Reliable updated residuals in hybrid Bi-CG methods by Sleijpen, G L G, van der Vorst, H A

“…Many iterative methods for solving linear equations Ax identical with b aim for accurate approximations to x, and they do so by updating residuals iteratively…”
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Optimal a priori error bounds for the Rayleigh-Ritz method by SLEIJPEN, Gerard L. G, VAN DEN ESHOF, Jasper, SMIT, Paul

“…We derive error bounds for the Rayleigh-Ritz method for the approximation to extremal eigenpairs of a symmetric matrix. The bounds are expressed in terms of…”
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Further results on the convergence behavior of conjugate-gradients and Ritz values by Sleijpen, G.L.G., van der Sluis, A.

“…The usual estimates for conjugate gradients (CG) specify a non trivial rate of convergence right from the beginning. We investigate situations where the same…”
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Alternative correction equations in the Jacobi-Davidson method by Genseberger, Menno, Sleijpen, Gerard L. G.

“…The correction equation in the Jacobi‐Davidson method is effective in a subspace orthogonal to the current eigenvector approximation, whereas for the…”
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Generalized conjugate gradient squared by Fokkema, Diederik R., Sleijpen, Gerard L.G., Van der Vorst, Henk A.

“…The Conjugate Gradient Squared (CGS) is an iterative method for solving nonsymmetric linear systems of equations. However, during the iteration large residual…”
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Stability control for approximate implicit time stepping schemes with minimum residual iterations by Botchev, Mikhail A., Sleijpen, Gerard L.G., van der Vorst, Henk A.

“…Implicit schemes for the integration of ODEs are popular when stability is more of concern than accuracy, for instance for the computation of a steady state…”
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An improvement of Davidson's iteration method: Applications to MRCI and MRCEPA calculations by Van Dam, H.J.J., Van Lenthe, J.H., Sleijpen, G.L.G., Van Der Vorst, H.A.

“…Davidson's method is widely used for finding the lowest eigenvalues of large matrices. Recently, mathematicians have shown that Davidson's derivation could be…”
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An overview of approaches for the stable computation of hybrid BiCG methods by Sleijpen, Gerard L.G., van der Vorst, Henk A.

“…It is well known that BiCG can be adapted so that the operations with A T can be avoided, and hybrid methods with computational complexity almost similar to…”
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Sorption Kinetics of Chlorinated Hydrophobic Organic Chemicals, Part I - The Use of First-Order Kinetic Multi-Compartment Models by Schrap, S M, Sleijpen, GLG, Seinen, W, Opperhuizen, A

“…This is the first of a two-part series describing the sorption kinetics of hydrophobic organic demands. This paper discusses the use of first-order kinetic…”
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Sorption kinetics of chlorinated hydrophobic organic chemicals : Part II: Desorption experiments by Schrap, S M, Sleijpen, G L, Seinen, W, Opperhuizen, A

“…This is the second of a two-part series describing the sorption kinetics of hydrophobic organic chemicals. Part I "The Use of First-Order Kinetic…”
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The order structure of the space of measures with continuous translation by Sleijpen, Gérard L. G.

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A Note on Measures Vanishing on Emaciated Sets by Sleijpen, Gerard L. G.

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Strong stability results for the hopscotch method with applications to bending beam equations by SLEIJPEN, G. L. G

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The action of a semigroup on a space of bounded radon measures by Sleijpen, Gerard L. G.

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The dual of the space of measures with continuous translations by Sleijpen, Gerard L. G.

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