Communications in Information & Systems

A Regularized Solution to the Birkhoff Interpolation Problem

C. F. Martin and Y. Zhou

Abstract

In this paper a relationship between the Birkhoff interpolation problem and the problem of control theoretic splines is established. It is shown that the Birkhoff interpolation problem has a solution if and only if a certain cost function remains bounded under perturbation of a suitably chosen variable.

Article information

Source
Commun. Inf. Syst., Volume 4, Number 1 (2004), 89-102.

Dates
First available in Project Euclid: 24 June 2005

Permanent link to this document
https://projecteuclid.org/euclid.cis/1119639957

Mathematical Reviews number (MathSciNet)
MR2131799

Zentralblatt MATH identifier
1091.41011

Citation

Zhou, Y.; Martin, C. F. A Regularized Solution to the Birkhoff Interpolation Problem. Commun. Inf. Syst. 4 (2004), no. 1, 89--102. https://projecteuclid.org/euclid.cis/1119639957


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