Title
Multivariate rational data fitting: general data structure, maximal accuracy and object orientation
Abstract
Sections 1 and 2 discuss the advantages of an object-oriented implementation combined with higher floating-point arithmetic, of the algorithms available for multivariate data fitting using rational functions. Section 1 will in particular explain what we mean by “higher arithmetic”. Section 2 will concentrate on the concepts of “object orientation”. In sections 3 and 4 we shall describe the generality of the data structure that can be dealt with: due to some new results virtually every data set is acceptable right now, with possible coalescence of coordinates or points. In order to solve the multivariate rational interpolation problem the data sets are fed to different algorithms depending on the structure of the interpolation points in then-variate space.
Year
DOI
Venue
1992
10.1007/BF02141925
Numerical Algorithms
Keywords
Field
DocType
Data Structure,Rational Function,Rational Data,Expert System,General Data
Nearest-neighbor interpolation,Data structure,Mathematical optimization,Data set,Curve fitting,Multivariate statistics,Mathematical analysis,Interpolation,Rational function,Generality,Mathematics
Journal
Volume
Issue
ISSN
3
1
1572-9265
Citations 
PageRank 
References 
0
0.34
1
Authors
2
Name
Order
Citations
PageRank
Annie Cuyt116141.48
Brigitte M. Verdonk28727.05