PIECEWISE RATIONAL QUADRATIC INTERPOLATION TO MONOTONIC DATA

被引：98

作者：

GREGORY, JA ^{[1
]}

DELBOURGO, R ^{[1
]}

机构：

[1] MIDDLESEX POLYTECH,DEPT ENGN SCI & MATH,LONDON N14 5PN,ENGLAND

来源：

IMA JOURNAL OF NUMERICAL ANALYSIS | 1982年 / 2卷 / 02期

关键词：

Interpolation - Rational functions;

D O I：

10.1093/imanum/2.2.123

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. © 1982 Academic Press Inc. (London) Limited.

引用

页码：123 / 130

页数：8

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