EXTREMA FOR EIGENVALUES OF VIBRATING SYSTEMS.
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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1944
- Accession Number
- AD0604473
Entities
People
- Dallas O. Banks
Organizations
- University of California