Accession Number:

ADA063970

Title:

A Note on the Approximation of Functions of Several Variables by Sums of Functions of One Variable.

Personal Author(s):

Corporate Author:

WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Report Date:

1978-08-01

Abstract:

For a class of functions of several variables, which contains the continuous functions, we show that there exists a sum of functions of one variable that minimizes the distance from the given function to the space of such sums. For functions of two variables we show that such a minimizing sum may be constructed by an iterative scheme. Author

Descriptive Note:

Technical summary rept.,

Pages:

0009

Subject Categories:

Contract Number:

DAAG29-75-C-0024

Contract Number 2:

NSF-MCS75-17385

File Size:

4.65MB