Parallel pivoting algorithms for sparse symmetric matrices

F.J. Peters

Research output: Contribution to journalArticleAcademicpeer-review

25 Citations (Scopus)

Abstract

In this paper it is investigated which pivots may be processed simultaneously when solving a set of linear equations. It is shown that for dense sets of equations all the pivots must necessarily be processed one at a time; only if the set is sufficiently sparse, some pivots may be processed simultaneously. We present parallel pivoting algorithms for MIMD computers with sufficiently many processors and a common memory. Moreover we present algorithms for MIMD computers with an arbitrary, but fixed number of processors. For both types of computers algorithms embodying an ordering strategy are given.
Original languageEnglish
Pages (from-to)99-110
Number of pages12
JournalParallel Computing
Volume1
Issue number1
DOIs
Publication statusPublished - 1984

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