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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2013, Volume 19, Number 2, Pages 256–266 (Mi timm951)  
This article is cited in 1 scientific paper (total in 1 paper)

On a new family of conditionally positive definite radial basis functions

A. I. Rozhenko

Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences
Full-text PDF (197 kB) Citations (1)
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Abstract: A new family of conditionally positive definite radial basis functions is proposed, which can be applied for constructing multivariate splines in Rd, d∈N. The family is a natural generalization of known constructions of splines with tension and regularized splines.
Keywords: completely monotonic function, radial basis function, spline.
Received: 24.01.2013
Bibliographic databases:
Document Type: Article
UDC: 517.584+519.651
Language: Russian
Citation: A. I. Rozhenko, “On a new family of conditionally positive definite radial basis functions”, Trudy Inst. Mat. i Mekh. UrO RAN, 19, no. 2, 2013, 256–266
Citation in format AMSBIB
\Bibitem{Roz13}
\by A.~I.~Rozhenko
\paper On a~new family of conditionally positive definite radial basis functions
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2013
\vol 19
\issue 2
\pages 256--266
\mathnet{http://mi.mathnet.ru/timm951}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3364112}
\elib{https://elibrary.ru/item.asp?id=19053988}
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  • https://www.mathnet.ru/eng/timm951
  • https://www.mathnet.ru/eng/timm/v19/i2/p256
    • This publication is cited in the following 1 articles:
    1. A. I. Rozhenko, “A comparison of radial basis functions”, Num. Anal. Appl., 11:3 (2018), 220–235  mathnet  crossref  crossref  isi  elib  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Trudy Instituta Matematiki i Mekhaniki UrO RAN
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    Full-text PDF :127
    References:87
    First page:8
     
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