NDLI: Parallelization model for successive approximations to the Rayleigh-Ritz linear variational problem

Content Provider	IEEE Xplore Digital Library
Author	Greer, J.C.
Copyright Year	1990
Abstract	Many of the differential equations arising in science and engineering can be recast in the form of a matrix eigenvalue problem. Solution of this equation within the context of the Rayleigh-Ritz variational method may be viewed as one of the fundamental tasks of numerical analysis. Successive approximation approaches to the Rayleigh-Ritz problem seek to improve eigenvectors and eigenfunctions by sequentially refining a trial function. Parallelization of successive approximation approaches has been demonstrated numerous times in the literature; these studies addressed either the successive approximations or the matrix diagonalization levels of the algorithm. It is shown in this paper that these two strategies may be applied independently of one another, and the advantages of applying both parallelization levels simultaneously to the problem are discussed. Performance estimates for a two-tiered parallelization strategy are obtained by extrapolating from existing published performance data for which the two levels of parallelization were applied separately.
Sponsorship	IEEE Computer Society
Starting Page	938
Ending Page	946
Page Count	9
File Size	437614
File Format	PDF
ISSN	10459219
Volume Number	9
Issue Number	10
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1998-10-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Eigenvalues and eigenfunctions Differential equations Numerical analysis Approximation algorithms Finite element methods Laplace equations Poisson equations Finite difference methods Kinetic theory Magnetic separation
Content Type	Text
Resource Type	Article
Subject	Signal Processing Computational Theory and Mathematics Hardware and Architecture

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