Sibirskii Zhurnal Vychislitel'noi Matematiki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Sib. Zh. Vychisl. Mat.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


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)
References:
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
\Bibitem{RozFed16}
\by A.~I.~Rozhenko, E.~A.~Fedorov
\paper On an algorithm of bilateral restrictions smoothing with spline
\jour Sib. Zh. Vychisl. Mat.
\yr 2016
\vol 19
\issue 3
\pages 331--342
\mathnet{http://mi.mathnet.ru/sjvm621}
\crossref{https://doi.org/10.15372/SJNM20160307}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3600772}
\elib{https://elibrary.ru/item.asp?id=26477423}
\transl
\jour Num. Anal. Appl.
\yr 2016
\vol 9
\issue 3
\pages 257--266
\crossref{https://doi.org/10.1134/S1995423916030071}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000391191900007}
\elib{https://elibrary.ru/item.asp?id=27570146}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84984870637}
Linking options:
  • https://www.mathnet.ru/eng/sjvm621
  • https://www.mathnet.ru/eng/sjvm/v19/i3/p331
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Sibirskii Zhurnal Vychislitel'noi Matematiki
    Statistics & downloads:
    Abstract page:179
    Full-text PDF :34
    References:33
    First page:8
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024