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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2012, Volume 278, Pages 49–58 (Mi tm3396)  
This article is cited in 3 scientific papers (total in 3 papers)

Criterion for the appearance of singular nodes under interpolation by simple partial fractions

V. I. Danchenko, E. N. Kondakova

Chair of Functional Analysis and Its Applications, Vladimir State University, Vladimir, Russia
Full-text PDF (183 kB) Citations (3)
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Abstract: Under simple interpolation by simple partial fractions, the poles of the interpolation fraction may arise at some nodes irrespective of the values of the interpolated function at these nodes. Such nodes are said to be singular. In the presence of singular nodes, the interpolation problem is unsolvable. We establish two criteria for the appearance of singular nodes under an extension of interpolation tables and obtain an algebraic equation for calculating such nodes.
Received in February 2012
English version:
Proceedings of the Steklov Institute of Mathematics, 2012, Volume 278, Pages 41–50
DOI: https://doi.org/10.1134/S0081543812060053
Bibliographic databases:
Document Type: Article
UDC: 517.538.52+517.538.7
Language: Russian
Citation: V. I. Danchenko, E. N. Kondakova, “Criterion for the appearance of singular nodes under interpolation by simple partial fractions”, Differential equations and dynamical systems, Collected papers, Trudy Mat. Inst. Steklova, 278, MAIK Nauka/Interperiodica, Moscow, 2012, 49–58; Proc. Steklov Inst. Math., 278 (2012), 41–50
Citation in format AMSBIB
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\paper Criterion for the appearance of singular nodes under interpolation by simple partial fractions
\inbook Differential equations and dynamical systems
\bookinfo Collected papers
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\pages 49--58
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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