An algorithm for computing constrained smoothing spline functions
type: Item
instance of: scholarly article
title: An algorithm for computing constrained smoothing spline functions
zbMATH Open document ID: 0622.41006
DOI: 10.1007/BF01400893
author: T. Elfving
author: L.-E. Andersson
published in: Numerische Mathematik
publication date: 1988-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/133254
review text: The problem of computing constrained spline functions, both for ideal data and noisy data, is considered. Two types of constraints are treated, namely convexity and convexity together with monotonity. A characterization result for constrained smoothing splines is derived. Based on this result a Newton-type algorithm is defined for computing the constrained spline function. Thereby it is possible to apply the constraints over a whole interval rather than at a discrete set of points. Results from numerical experiments are included.
Mathematics Subject Classification ID: 41A15
Mathematics Subject Classification ID: 41A05
Mathematics Subject Classification ID: 41A29
zbMATH DE Number: 4009004
zbMATH Keywords: constrained spline functions
zbMATH Keywords: noisy data
zbMATH Keywords: constraints
zbMATH Keywords: Newton-type algorithm
zbMATH Keywords: numerical experiments
MaRDI profile type: Publication
cites work: An Algorithm for Constrained Interpolation
cites work: Contrained interpolants with minimal \(W^{k,p}\)-norm
cites work: Numerical Methods in Scientific Computing, Volume I
cites work: A practical guide to splines
cites work: Smoothing noisy data with spline functions: Estimating the correct degree of smoothing by the method of generalized cross-validation
cites work: An Algorithm for the Regularization of Ill-Conditioned, Banded Least Squares Problems
cites work: Interpolation by smooth functions under restrictions on the derivatives
cites work: Complete spline smoothing
cites work: Smoothing noisy data with spline functions
cites work: Q3217070
cites work: Constrained interpolation and smoothing
cites work: Constrained \(L_ p\) approximation
cites work: Smoothing by spline functions.
cites work: SPLINE FUNCTIONS AND THE PROBLEM OF GRADUATION
cites work: Smoothing noisy data under monotonicity constraints existence, characterization and convergence rates
cites work: Q3706364
OpenAlex ID: W2084190469
description: scientific article; zbMATH DE number 4009004