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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2016, Volume 19, Number 3, Pages 331–342
DOI: https://doi.org/10.15372/SJNM20160307
(Mi sjvm621)
 

This article is cited in 1 scientific paper (total in 1 paper)

On an algorithm of bilateral restrictions smoothing with spline

A. I. Rozhenkoa, E. A. Fedorovb

a Institute of Computational Mathematics and Mathematical Geophysics SB RAS, 6 Lavrentiev pr., Novosibirsk, 630090, Russia
b ООО "Data Ist", 2/2 Lavrentiev pr., Novosibirsk, 630090, Russia
Full-text PDF (556 kB) Citations (1)
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Abstract: In this paper, the problem of constructing a spline $\sigma$ in the Hilbert space satisfying bilateral restrictions $z^-\le A\sigma\le z^+$ with a linear operator $A$ and minimizing a squared Hilbert seminorm is studied. A solution to this problem could be obtained with the convex programming iterative methods, in particular, with the gradient projection method. A modification of the gradient projection method allowing one to reveal a set of active restrictions in a smaller number of iterations is offered. The efficiency of the modification proposed is shown on the problem of approximation with a pseudo-linear bivariate spline.
Key words: smoothing, spline, Hilbert space, convex programming, reproducing mapping, radial basis function.
Funding agency Grant number
Russian Foundation for Basic Research 15-07-07530
Received: 22.11.2015
Revised: 11.02.2016
English version:
Numerical Analysis and Applications, 2016, Volume 9, Issue 3, Pages 257–266
DOI: https://doi.org/10.1134/S1995423916030071
Bibliographic databases:
Document Type: Article
UDC: 517.972.5+519.65
Language: Russian
Citation: A. I. Rozhenko, E. A. Fedorov, “On an algorithm of bilateral restrictions smoothing with spline”, Sib. Zh. Vychisl. Mat., 19:3 (2016), 331–342; Num. Anal. Appl., 9:3 (2016), 257–266
Citation in format AMSBIB
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  • This publication is cited in the following 1 articles:
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