Accession Number:

ADA063996

Title:

A Constructive Approach to Kergin Interpolation in R(k).

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1978-11-01

Pagination or Media Count:

15.0

Abstract:

Very little seems to be known about polynomial interpolation of multivariate functions. However, Kergin recently established the existence and uniqueness of a natural extension of univariate interpolation to a multivariate setting. In this paper we provide a formula for Kergin interpolation. This formula is based on the Newton form for univariate polynomial interpolation. The error in approximating by Kergin interpolation is also obtained in a convenient form which allows us to assess the quality of this scheme. In particular, we establish that Kergin interpolation converges for analytic functions of several variables.

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE