NDLI: A Parallel Block Iterative Scheme Applied to Computations in Structural Analysis

Content Provider	Society for Industrial and Applied Mathematics (SIAM)
Author	Plemmons, Robert J.
Copyright Year	1986
Abstract	In this paper it is shown how a block cyclic successive overrelaxation direct-iterative method can be applied to the parallel solution of certain large-scale linear equality-constrained quadratic programming problems. The scheme is similar in nature to those studied recently by de Pillis, Niethammer and Varga and by Markham, Neumann and Plemmons for solving large sparse least squares problems. It is based upon a partitioning strategy of the fundamental matrix into a block consistently ordered 2-cyclic form where the nonzero eigenvalues of the Jacobi matrix are all pure imaginary. The method is shown to be globally convergent and convergence rates are established.Applications of the algorithm are discussed for large-scale structural analysis computations where it is shown how the algorithm can be adapted to the simultaneous computation of the system forces and the nodal displacements. Here, advantage can be taken of the special forms of the matrices involved. In particular, it is shown that much of the algorithm lends itself to efficient implementation on pipelined vector machines and on multiprocessors.
Starting Page	337
Ending Page	347
Page Count	11
File Format	PDF
ISSN	01965212
DOI	10.1137/0607038
Journal	SIAM Journal on Algebraic Discrete Methods (SJAMDU)
Issue Number	3
Volume Number	7
Language	English
Publisher	Society for Industrial and Applied Mathematics
Publisher Date	2006-07-17
Access Restriction	Subscribed
Subject Keyword	Ill-posed problems structural analysis constrained minimization Iterative methods for linear systems block successive overrelaxation linear systems parallel processing
Content Type	Text
Resource Type	Article

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