A Review of Parallel Methods for Solving Sets of Linear Equations and their Application within Optimisation Algorithms.

Abstract

When solving optimisation problems on a parallel computing system, the first consideration must be to utilize the parallelism to speed up the 95% of the time typically spent in function and gradient evaluations or the division of each function evaluation into a number of parallel tasks. Assuming this prime task has been undertaken effectively then for efficiency the other 5% of the computation must also utilize the parallelism available on the system. The dominant remaining calculation is usually the solution of a set of linear equations. In this paper the implication of parallel processing on the solution method for solving linear equations will be reviewed.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1987
Accession Number
ADA193137

Entities

People

  • L. C. Dixon

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Algorithms
  • Computations
  • Computers
  • Data Transmission
  • Decomposition
  • Differential Equations
  • Efficiency
  • Equations
  • Iterations
  • Numerical Analysis
  • Optimization
  • Parallel Computing
  • Parallel Processing
  • Parallel Processors
  • Partial Differential Equations
  • Pipelines

Readers

  • Calculus or Mathematical Analysis
  • Operations Research
  • Systems Analysis and Design