Piecewise Rational Quadratic Interpolation to Monotonic Data

1 April 1982

journal article
Published by Oxford University Press (OUP) in IMA Journal of Numerical Analysis

Vol. 2 (2) , 123-130
https://doi.org/10.1093/imanum/2.2.123

Abstract

An explicit representation of a piecewise rational quadratic function is developed which produces a monotonic interpolant to given monotonic data. The explicit representation means that the piecewise monotonic interpolant is easily constructed and numerical experiments indicate that the method produces visually pleasing curves. Furthermore, the use of the method is justified by a convergence analysis.

Keywords

MONOTONIC INTERPOLANT
MONOTONIC DATA
CONVERGENCE ANALYSIS
PIECEWISE RATIONAL QUADRATIC
QUADRATIC INTERPOLATION

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