SUMOP - A DIGITAL IMPLEMENTATION OF THE METHOD OF SUMS OF RESOLVABLE OPERATORS.

Abstract

SUMOP, A FORTRAN subroutine that implements the method of sums of resolvable operators, is described. This procedure is used to calculate rigorous lower bounds for eigenvalues of certain self-adjoint operators in Hilbert space and, in particular, lower bounds for the frequencies of free vibration of some continuous linear elastic systems. SUMOP employs eigenvalues and eigenvectors of part problems to construct a matrix, the eigenvalues of which yield lower bounds to those of the self-adjoint operator. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1965
Accession Number
AD0466359

Entities

People

  • Vincent G. Sigillito

Organizations

  • Johns Hopkins University

Tags

DTIC Thesaurus Topics

  • Doppler Effect
  • Eigenvalues
  • Eigenvectors
  • Frequency
  • Frequency Shift
  • Hilbert Space
  • Mathematical Analysis
  • Mathematics
  • Procedures (Computers)
  • Vibration

Fields of Study

  • Mathematics

Readers

  • Linear Algebra

Technology Areas

  • Space