Accession Number:

AD0713991

Title:

Approximation with Convex Constraints.

Descriptive Note:

Technical rept.,

Corporate Author:

BROWN UNIV PROVIDENCE R I DIV OF APPLIED MATHEMATICS

Personal Author(s):

Report Date:

1970-08-01

Pagination or Media Count:

48.0

Abstract:

The basic problem considered in this paper is the approximation of a given function in a normed linear space by simpler functions in a finite dimensional linear subspace which also satisfy certain constraints, or side conditions. A satisfactory study of a specific problem would include the existence and uniqueness of a best approximation, some distinguishing property which characterizes a best approximation, and algorithms for computing numerically a best approximation. The most intuitively appealing and complete results are obtained when the measure of approximation is the uniform norm. Author

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE