Results 11 to 20 of about 59,261 (316)

Parallel Multilevel Preconditioners [PDF]

open access: yesMathematics of Computation, 1990
In this paper, we provide techniques for the development and analysis of parallel multilevel preconditioners for the discrete systems which arise in numerical approximation of symmetric elliptic boundary value problems. These preconditioners are defined as a sum of independent operators on a sequence of nested subspaces of the full approximation space.
Bramble, J.H.   +2 more
openaire   +2 more sources

Support-Graph Preconditioners [PDF]

open access: yesSIAM Journal on Matrix Analysis and Applications, 2006
The authors extend the ``support-graph preconditioning'' technique, introduced by \textit{Y. Notay} [Lect. Notes Math. 1457, 105--125 (1990; Zbl 0722.65012); Linear Algebra 154--156, 711--722 (1991; Zbl 0735.65028); Appl. Numer. Math. 10, No. 5, 381--396 (1992; Zbl 0756.65049)], \textit{R. Beauwens} [Linear Algebra Appl.
Bern, Marshall   +4 more
openaire   +2 more sources

Communication Avoiding ILU0 Preconditioner [PDF]

open access: yesSIAM Journal on Scientific Computing, 2015
Summary: In this paper we present a communication avoiding ILU0 preconditioner for solving large linear systems of equations by using iterative Krylov subspace methods. Recent research has focused on communication avoiding Krylov subspace methods based on so-called \(s\)-step methods.
Grigori, Laura, Moufawad, Sophie
openaire   +2 more sources

Absolute value preconditioning for symmetric indefinite linear systems [PDF]

open access: yes, 2013
We introduce a novel strategy for constructing symmetric positive definite (SPD) preconditioners for linear systems with symmetric indefinite matrices.
Andrew V. Knyazev   +4 more
core   +1 more source

An efficient relaxed shift-splitting preconditioner for a class of complex symmetric indefinite linear systems

open access: yesAIMS Mathematics, 2022
In this work, by introducing a scalar matrix αI, we transform the complex symmetric indefinite linear systems (W+iT)x=b into a block two-by-two complex equations equivalently, and propose an efficient relaxed shift-splitting (ERSS) preconditioner.
Qian Li, Qianqian Yuan, Jianhua Chen
doaj   +1 more source

Efficient modeling of antennas with finite conductivity using calderón preconditioning [PDF]

open access: yes, 2018
A Calderon preconditioner for a novel single-source integral equation, which allows the simulation of high dielectric contrasts and lossy conductors, is introduced. It is shown that this preconditioner avoids breakdown when simulating scattering problems
De Zutter, Daniël   +3 more
core   +2 more sources

The ILUCP Preconditioner [PDF]

open access: yesPAMM, 2004
AbstractWe introduce a new incomplete LU‐type preconditioner which combines the advantages of Crout's formulation of Gaussian elimination with pivoting. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
openaire   +2 more sources

A weakly overlapping parallel domain decomposition preconditioner for the finite element solution of convection-dominated problems in three dimensions [PDF]

open access: yes, 2002
In this paper we describe the parallel application of a novel two level additive Schwarz preconditioner to the stable finite element solution of convection-dominated problems in three dimensions. This is a generalization of earlier work, [2,6], in 2-
Jimack, P.K., Nadeem, S.A.
core   +1 more source

A preconditioned iterative method for coupled fractional partial differential equation in European option pricing

open access: yesOpen Mathematics, 2023
Recently, regime-switching option pricing based on fractional diffusion models has been used, which explains many significant empirical facts about financial markets better.
Wu Shuang   +3 more
doaj   +1 more source

Application of a Sparsity Pattern and Region Clustering for Near Field Sparse Approximate Inverse Preconditioners in Method of Moments Simulations

open access: yesInternational Journal of Antennas and Propagation, 2017
This document presents a technique for the generation of Sparse Inverse Preconditioners based on the near field coupling matrices of Method of Moments simulations where the geometry has been partitioned in terms of regions.
Carlos Delgado   +2 more
doaj   +1 more source

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