Accession Number : AD0722077

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

Corporate Author : TEXAS UNIV AUSTIN CENTER FOR NUMERICAL ANALYSIS

Personal Author(s) : Daniel,James W. ; Schumaker,Larry L.

Report Date : FEB 1971

Pagination or Media Count : 26

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)

Descriptors :   (*APPROXIMATION(MATHEMATICS), FUNCTIONS(MATHEMATICS)), (*SET THEORY, BANACH SPACE), CONVEX SETS, HILBERT SPACE, CALCULUS OF VARIATIONS, NUMERICAL ANALYSIS, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE