THE METHOD OF SPECIAL CHOICE APPLIED TO A MATRIX.

Abstract

The method of Special Choice, a well-known method for finding lower bounds for the eigenvalues of linear operators in a Hilbert space, is applied to a particular matrix problem. The eigenvalues of the finite difference approximation for the vibration of a square clamped plate are bounded below using the eigenvalues of the finite difference approximation for the vibrations of a square simply supported plate, which are known. The results are numerically disappointing, but the idea of the approach may have other applications. (Author)

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1969
Accession Number
AD0707328

Entities

People

  • J. R. Kuttler
  • L. W. Ehrlich

Organizations

  • Johns Hopkins University Applied Physics Laboratory

Tags

DTIC Thesaurus Topics

  • Banach Space
  • Differential Equations
  • Eigenvalues
  • Equations
  • Functional Analysis
  • Hilbert Space
  • Mathematical Analysis
  • Mathematics
  • Mechanical Waves
  • Vibration

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Structural Dynamics.
  • Systems Analysis and Design

Technology Areas

  • Space