Sparse Cholesky Factorization on a Local-Memory Multiprocessor.

Abstract

This article deals with the problem of factoring a large sparse positive definite matrix on a multiprocessor system. The processors are assumed to have substantial local memory but no globally shared memory. They communicate among themselves and with a host processor through message passing. Our primary interest is in designing an algorithm which exploits parallelism, rather than in exploiting features of the underlying topology of the hardware. However, part of our study is aimed at determining, for certain sparse matrix problems, whether hardware based on the binary hypercube topology adequately supports the communication requirements for such problems. Numerical results from experiments running on a multiprocessor simulator are included.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1986
Accession Number
ADA187152

Entities

People

  • Alan George
  • Esmond Ng
  • Joseph Liu
  • Micheal T. Heath

Organizations

  • Oak Ridge National Laboratory

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Algorithms
  • Applied Mathematics
  • Computations
  • Computer Programming
  • Computer Science
  • Computers
  • Engineering
  • Mathematics
  • Military Research
  • Multiprocessors
  • North Carolina
  • Operations Research
  • Parallel Computing
  • Simulators
  • Sparse Matrix
  • Topology

Readers

  • Linear Algebra
  • Parallel and Distributed Computing.