Accession Number:
ADA142637
Title:
Final Scientific Report for Grant AFOSR-82-0329, September 1, 1982 - September 30, 1983.
Descriptive Note:
Final scientific rept.,
Corporate Author:
GEORGIA INST OF TECH ATLANTA SCHOOL OF MATHEMATICS
Personal Author(s):
Report Date:
1984-05-01
Pagination or Media Count:
4.0
Abstract:
Research supported under this effort investigated some of the spectral and invertibility properties of band matrices. Spectral theory and classical approximation theory were used to give a new proof of the exponential decay of the entries of the inverses of band matrices. The problem of obtaining spectral information about a given matrix from its submatrices was studied. Another result obtained during the research effort was that for subspaces of the continuous functions on the unit interval that have B-spline like bases there is an interpolating projection whose noun depends only on the condition number of the basis. Author
Descriptors:
Subject Categories:
- Theoretical Mathematics