Parallel Computation of Eigenvalues of Real Matrices

Abstract

The paper describes the implementation of three standard matrix eigenvalue computation methods on an array machine with high efficiency. A brief description of the ILLIAC 4 computer is provided as background material. Three major sections follow--the first two describe Jacobi and Householder algorithms for real symmetric matrices, and the third describes the QR algorithm for real nonsymmetric matrices.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1971
Accession Number
AD0737292

Entities

People

  • Ahmed Sameh
  • David J. Kuck

Organizations

  • University of Illinois Urbana–Champaign

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Algorithms
  • Computations
  • Computer Programming
  • Computers
  • Differential Equations
  • Efficiency
  • Eigenvalues
  • Eigenvectors
  • Equations
  • Instructions
  • Linear Algebra
  • Materials
  • Mathematics
  • Numbers
  • Parallel Computing
  • Partial Differential Equations
  • Square Roots

Readers

  • Business Analytics
  • Linear Algebra
  • Parallel and Distributed Computing.