COMPUTING THE EIGENVALUES AND EIGENVECTORS OF A MATRIX.

Abstract

The general problem of finding the eigenvalues and eigenvectors of a matrix, with the aid of a digital computer, is investigated. Primary emphasis is placed on the description of methods by which the given matrix is reduced to diagonal, triangular, tridiagonal or Hessenberg form, the latter two cases requiring an additional stage of computation to find the eigenvalues. Comparisons are made between competing techniques with respect to stability, accuracy, and speed of computation. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1966
Accession Number
AD0478457

Entities

People

  • Charles W. Skinner

Organizations

  • University of Texas at Austin

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Computations
  • Computers
  • Computing Devices
  • Digital Computers
  • Eigenvalues
  • Eigenvectors
  • Mathematical Analysis
  • Mathematics

Fields of Study

  • Mathematics
  • Physics

Readers

  • Linear Algebra
  • Systems Analysis and Design