
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 (Alambda 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