EXTREMA FOR EIGENVALUES OF VIBRATING SYSTEMS.
CALIFORNIA UNIV DAVIS
Pagination or Media Count:
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 Bx 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.