Final Scientific Report for Grant AFOSR-82-0329, September 1, 1982 - September 30, 1983.
Final scientific rept.,
GEORGIA INST OF TECH ATLANTA SCHOOL OF MATHEMATICS
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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
- Theoretical Mathematics