Least squares data fitting using shape preserving piecewise approximations
type: Item
instance of: scholarly article
title: Least squares data fitting using shape preserving piecewise approximations
zbMATH Open document ID: 0791.65009
DOI: 10.1007/BF02109197
author: G. H. Elliott
published in: Numerical Algorithms
publication date: 1994-06-29T00:00:00Z
review text: The author constructs a basis for a tensioned spline that gives a numerically stable algorithm for the \(L_ 2\)-fitting of data that can preserve monotonicity and/or convexity. This work is motivated by fitting of data from a sewerage farm.
Mathematics Subject Classification ID: 65D10
Mathematics Subject Classification ID: 65F20
zbMATH DE Number: 510212
zbMATH Keywords: least squares data fitting
zbMATH Keywords: shape preserving
zbMATH Keywords: spline
zbMATH Keywords: monotonicity
zbMATH Keywords: convexity
reviewed by: Prem Narain
describes a project that uses: pchip
MaRDI profile type: Publication
cites work: A New Method of Interpolation and Smooth Curve Fitting Based on Local Procedures
cites work: Q3954721
cites work: C2 Rational Quadratic Spline Interpolation to Monotonic Data
cites work: Shape Preserving Piecewise Rational Interpolation
cites work: Monotone Piecewise Cubic Interpolation
cites work: Piecewise Rational Quadratic Interpolation to Monotonic Data
cites work: Properties of splines in tension
cites work: An algorithm for the computation of the exponential spline
description: scientific article; zbMATH DE number 510212