Near-optimal tension parameters in convexity preserving interpolation by generalized cubic splines

被引：8

作者：

Bogdanov, Vladimir V. ^{[1
]}

Volkov, Yuriy S. ^{[1
]}

机构：

[1] RAS, Sobolev Inst Math, SB, Novosibirsk, Russia

来源：

NUMERICAL ALGORITHMS | 2021年 / 86卷 / 02期

关键词：

Convex interpolation; Generalized cubic spline; Algorithm; Tension parameters; Sufficient conditions of convexity; EXPONENTIAL SPLINE; COMPUTATION; MONOTONE;

D O I：

10.1007/s11075-020-00914-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We offer the algorithm for choosing tension parameters of the generalized splines for convexity preserving interpolation. The resulting spline minimally differs from the classical cubic spline and coincides with it if sufficient convexity conditions are satisfied for the last one. We consider specific algorithms for different generalized cubic splines such as rational, exponential, variable power, hyperbolic splines, and splines with additional knots.

引用

页码：833 / 861

页数：29

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