On the Closedness of the Linear Image of a Set, with Applications to Generalized Spline Functions,
Abstract
In studying generalized splines one seeks to minimize Norm (Tu-f) for u in some constraint set U. Existence of a minimizing u is often equivalent to TU being closed. The authors consider hypotheses that guarantee closedness of TU, and more generally, the closedness of the sum of U and a closed linear subspace. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 1971
- Accession Number
- AD0722077
Entities
People
- James W. Daniel
- Larry L. Schumaker
Organizations
- University of Texas at Austin