Positive interpolation with rational splines

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 1989 English Publisher:Springer Science and Business Media LLCJournal:BIT, volume 29, pages 140-147 (issn: 0006-3835, eissn: 1572-9125,

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Authors: Sakai, M.; Schmidt, Jochen W.;

doi: 10.1007/bf01932711

Positive interpolation with rational splines

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Abstract

The second author and \textit{W. Hess} [Positive interpolation with rational quadratic splines, Computing 38, 261-267 (1987)] have given a necessary and sufficient condition according to which the property of positivity carries from the data set to rational quadratic spline interpolants of a special form. In the present paper positive rational splines of continuity class \(C^ 2\) are constructed by a method situated between a cubic spline method and a piecewise linear one. The Schmidt-Hess method appears as a limiting case.

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Keywords

Spline approximation, positive rational splines, piecewise linear, rational quadratic spline interpolants, cubic spline method, Numerical computation using splines

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