Accession Number:

AD0722077

Title:

On the Closedness of the Linear Image of a Set, with Applications to Generalized Spline Functions,

Descriptive Note:

Corporate Author:

TEXAS UNIV AUSTIN CENTER FOR NUMERICAL ANALYSIS

Personal Author(s):

Report Date:

1971-02-01

Pagination or Media Count:

26.0

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

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE