# Accession Number:

## AD0604473

# Title:

## EXTREMA FOR EIGENVALUES OF VIBRATING SYSTEMS.

# Descriptive Note:

## Final rept.,

# Corporate Author:

## CALIFORNIA UNIV DAVIS

# Personal Author(s):

# Report Date:

## 1944-01-01

# Pagination or Media Count:

## 12.0

# 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 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.