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

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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

Author(s):
Sigillito, Vincent G.
Author Organization(s):
JOHNS HOPKINS UNIV LAUREL MD APPLIED PHYSICS LAB
Descriptive Note:
Technical memo.,
Annotation:
SUMOP - a digital implementation of the method of sums of resolvable operators.
Pagination:
0008

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
TG-682
Contract/Grant Number(s):
NOw62 0604c
 Subject Terms
Communities of Interest:
No COI(s) Identified
Descriptor(s):
(*OPERATORS(MATHEMATICS), COMPUTER PROGRAMMING), MATRICES(MATHEMATICS), FUNCTIONAL ANALYSIS, PROGRAMMING LANGUAGES, DIGITAL COMPUTERS
Keyword(s):
EIGENVECTORS, FORTRAN
Report Date:
1965 May 01