State of the Art in Eigenvalue Computations,

Abstract

The subject must be divided up according to two obvious but unappreciated criteria. Matrices are either large or small and the eigenvalues are either real or complex. Moreover, the property that produces real eigenvalues in the overwhelming number of cases is the symmetry of a real matrix. Definition: An n x n matrix is small (in a given computer system) if it and its matrix of eigenvectors can be held as conventional square arrays in the fast (random access) store or memory. Otherwise it is large.

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1983
Accession Number
ADP002616

Entities

People

  • Beresford N. Parlett

Organizations

  • University of California, Berkeley

Tags

DTIC Thesaurus Topics

  • California
  • Computations
  • Computers
  • Eigenvalues
  • Eigenvectors
  • Large Scale Integration
  • Mathematics
  • Signal Processing
  • Symmetry
  • Universities
  • Very Large Scale Integration
  • Workshops

Readers

  • Approximation Theory.
  • Control Systems Engineering.
  • Educational Psychology