On the choice of the initial value of a quadratic spline in positive interpolation
type: Item
instance of: scholarly article
title: On the choice of the initial value of a quadratic spline in positive interpolation
zbMATH Open document ID: 0858.65008
DOI: 10.1016/0377-0427(95)00024-0
author: Aatos Lahtinen
published in: Journal of Computational and Applied Mathematics
publication date: 1997-03-25T00:00:00Z
review text: A special method of quadratic spline interpolation with coinciding interpolation points and sewing nodes is proposed. In the capacity of one deficient initial condition for the uniqueness of the spline the author uses the \(L_2\) norm of the spline to take the prescribed value (greater or equal to the minimum one). The case of positive interpolation is considered. Also the author investigates the conditions to be fulfilled for the monotonicity of the interpolated data to lead to the monotonicity of the spline. Three illustrative numerical examples are presented.
reviewed by: Valery V. Kobkov
Mathematics Subject Classification ID: 65D05
Mathematics Subject Classification ID: 65D07
Mathematics Subject Classification ID: 41A05
Mathematics Subject Classification ID: 41A29
zbMATH DE Number: 908399
zbMATH Keywords: positive interpolation
zbMATH Keywords: monotone interpolation
zbMATH Keywords: quadratic spline interpolation
zbMATH Keywords: numerical examples
MaRDI profile type: Publication
full work available at URL: 0377-0427(95)00024-0
OpenAlex ID: W1995154854
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description: scientific article; zbMATH DE number 908399