Accession Number : AD0604473

Title :   EXTREMA FOR EIGENVALUES OF VIBRATING SYSTEMS.

Descriptive Note : Final rept.,

Corporate Author : CALIFORNIA UNIV DAVIS

Personal Author(s) : Banks,Dallas O.

Report Date : 1944

Pagination or Media Count : 12

Abstract : The results of two areas of research are reported. The first concerns bounds for the eigenvalues of vibrating strings. The second concerns bounds for eigenvalues of a positive symmetric definite matrix A relative to a nonnegative matrix B, i.e., the values of lambda such that the system of equations (A-lambda x B)x =0 has a nontrivial solution. The results in this case are the analog of results found earlier by the investigator for the eigenvalues of a vibrating string.

Descriptors :   (*VIBRATION, MATRICES(MATHEMATICS)), (*MATRICES(MATHEMATICS), VIBRATION), ENERGY, MATHEMATICAL ANALYSIS, FUNCTIONS(MATHEMATICS)

Distribution Statement : APPROVED FOR PUBLIC RELEASE