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The formal development of a parallel program performing LU-decomposition

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Publication:1096311
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DOI10.1007/BF02915443zbMath0633.65007MaRDI QIDQ1096311

Johannes G. G. van de Vorst

Publication date: 1988

Published in: Acta Informatica (Search for Journal in Brave)


zbMATH Keywords

efficiencycorrectnessparallel algorithmLU-decompositionGries-Owicki approachparallel invariant


Mathematics Subject Classification ID

Factorization of matrices (15A23) Parallel numerical computation (65Y05) Direct numerical methods for linear systems and matrix inversion (65F05) Software, source code, etc. for problems pertaining to linear algebra (15-04)


Related Items (1)

A parallel interior point algorithm for linear programming on a network of transputers



Cites Work

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  • A derivation of distributed implementation of Warshall's algorithm
  • Computational models and task scheduling for parallel sparse Cholesky factorization
  • Systolic algorithms as programs
  • An axiomatic proof technique for parallel programs
  • Verifying properties of parallel programs


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