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Interpolation of scattered data: Distance matrices and conditionally positive definite functions

Charles A. Micchelli1

(1) IBM Thomas J. Watson Research Center, 10598 Yorktown Heights, New York

Received: 19 October 1984  Revised: 10 July 1985  

Communicated by Carl de Boor.
Abstract  Among other things, we prove that multiquadric surface interpolation is always solvable, thereby settling a conjecture of R. Franke.

AMS classification  41A05 - 41A63

Key words and phrases  Multivariate interpolation - Multiquadric surface - Thin plate splines - Positive definite functions


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