Accession Number : AD0707328

Title :   THE METHOD OF SPECIAL CHOICE APPLIED TO A MATRIX.

Descriptive Note : Technical memo.,

Corporate Author : JOHNS HOPKINS UNIV SILVER SPRING MD APPLIED PHYSICS LAB

Personal Author(s) : Ehrlich,L. W. ; Kuttler,J. R.

Report Date : NOV 1969

Pagination or Media Count : 26

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)

Descriptors :   (*METAL PLATES, VIBRATION), (*MATRICES(MATHEMATICS), NUMERICAL ANALYSIS), APPROXIMATION(MATHEMATICS), ITERATIONS, HILBERT SPACE, DIFFERENCE EQUATIONS

Subject Categories : Theoretical Mathematics
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE