THE DETERMINATION OF EIGEN VALUES AND EIGEN VECTORS OF A MATRIX ON A M-20 DIGITAL COMPUTER,

Abstract

A special system of linear algebraic equations of a certain form must be used to determine the frequencies and forms of free oscillations of rod systems in structural mechanics. A program for determining the eigenvalues and the eigenvectors of matrices M through iteration and exhaustion methods has been composed. With this program the eigenvalues and eigenvectors of matrices up to the 57th order where all real eigenvalues and eigenvectors are considered may be calculated, and the nonsymmetric matrices obtained in the problems of structural mechanics may be brought to symmetric matrices according to the method of operation. The computer's program and operation are described with a block diagram showing the computer's arrangement, and an example of the results is shown. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 31, 1966
Accession Number
AD0646286

Entities

People

  • S. Turgunov

Organizations

  • National Air and Space Intelligence Center

Tags

DTIC Thesaurus Topics

  • Computers
  • Digital Computers
  • Eigenvalues
  • Eigenvectors
  • Equations
  • Frequency
  • Iterations
  • Linear Algebraic Equations
  • Mathematics
  • Mechanics
  • Oscillation
  • Structural Mechanics

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Materials Science and Engineering.