An Investigation of Three Computer Programs for the Solution of AX = B Where A is Symmetric and Sparse.

Abstract

This report documents an investigation of three recent programs for the solution of AX = B where A is symmetric and sparse: the Yale Sparse Matrix Package; the Munksgaard subroutines; and the Mesztenyi-Rheinboldt subroutines. The first two programs compute in-core solutions; the third uses random access to obtain its solution. The performance of these three programs is compared with that of a previously developed out-of-core equation solver, CSKYDG2. The two in-core equation solvers (especially the first) are faster than CSKYDG2; the third is slower. All three provide the same degree of accuracy as CSKYDG2, but they require large amounts of core storage. It would appear that the two in-core equation solvers are not suited for use on the CDC 6000 series of computers in their present form due to the limited amount of core storage available. Although the third equation solver does not require as much core storage, it does not perform as well as existing out-of-core euqation solvers which use the same or lesser amounts of core storage. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1978
Accession Number
ADA054602

Entities

People

  • Donald A. Gignac

Tags

Communities of Interest

  • C4I
  • Ground and Sea Platforms

DTIC Thesaurus Topics

  • Algorithms
  • Computational Science
  • Computer Programs
  • Computer Science
  • Computers
  • Core Storage
  • Energy
  • Equations
  • Mechanics
  • Nuclear Energy
  • Numerical Analysis
  • Procedures (Computers)
  • Sparse Matrix
  • Structural Analysis
  • Structural Mechanics
  • Universities

Readers

  • Computational Modeling and Simulation
  • Linear Algebra