Final Scientific Report for Grant AFOSR-82-0329, September 1, 1982 - September 30, 1983.

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)

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1984
Accession Number
ADA142637

Entities

People

  • S. G. Demko

Organizations

  • Georgia Tech

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Acquisition
  • Air Force
  • Algebra
  • Banach Space
  • Classification
  • Computations
  • Eigenvalues
  • Eigenvectors
  • Inequalities
  • Intervals
  • Linear Algebra
  • Linear Systems
  • Mathematics
  • Security
  • Sparse Matrix

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  • Approximation Theory.
  • Linear Algebra
  • Technical Research and Report Writing.