Communications in Information and Systems

Volume 4 (2004)

Number 1

A Regularized Solution to the Birkhoff Interpolation Problem

Pages: 89 – 102

DOI: https://dx.doi.org/10.4310/CIS.2004.v4.n1.a5

Authors

C. F. Martin

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.

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Published 1 January 2004