Publication
Title
Multivariate rational interpolation of scattered data
Author
Abstract
Rational data fitting has proved extremely useful in a number of scientific applications. We refer among others to its use in some network problems [6, 7, 15, 16], to the modelling of electro-magnetic components [20,13], to model reduction of linear shift-invariant systems [2, 3,8] and so on. When computing a rational interpolant in one variable, all existing techniques deliver the same rational function, because all rational functions that satisfy the interpolation conditions reduce to the same unique irreducible form. When switching from one to many variables, the situation is entirely different. Not only does one have a large choice of multivariate rational functions, but moreover, different algorithms yield different rational interpolants and apply to different situations. The rational interpolation of function values that are given at a set of points lying on a multidimensional grid, has extensively been dealt with in [11, 10, 5]. The case where the interpolation data are scattered in the multivariate space, is far less discussed and is the subject of this paper. We present a fast solver for the linear block Cauchy-Vandermonde system that translates the interpolation conditions, and combine it with an interval arithmetic verification step.
Language
English
Source (journal)
Lecture notes in computer science. - Berlin, 1973, currens
Publication
Berlin : 2004
ISSN
0302-9743 [print]
1611-3349 [online]
Volume/pages
2907(2004), p. 204-213
ISI
000189446500022
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Web of Science
Record
Identification
Creation 08.10.2008
Last edited 03.09.2017
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