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Title: A Newton method for shape-preserving spline interpolation
Authors: Dontchev, Asen L.
Qi, Hou-duo
Qi, Liqun
Yin, Hongxia
Subjects: Shape-preserving interpolation
Semismooth equation
Newton’s method
Quadratic convergence
Issue Date: 2002
Publisher: Society for Industrial and Applied Mathematics
Source: SIAM journal on optimization, 2002, v. 13, no. 2, p. 588-602.
Abstract: In 1986, Irvine, Marin, and Smith proposed a Newton-type method for shape-preserving interpolation and, based on numerical experience, conjectured its quadratic convergence. In this paper, we prove local quadratic convergence of their method by viewing it as a semismooth Newton method. We also present a modification of the method which has global quadratic convergence. Numerical examples illustrate the results.
Rights: © 2002 Society for Industrial and Applied Mathematics
Type: Journal/Magazine Article
DOI: 10.1137/S1052623401393128
ISSN: 1052-6234 (print)
1095-7189 (online)
Appears in Collections:AMA Journal/Magazine Articles

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