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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2012, Volume 278, Pages 49–58
(Mi tm3396)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/tm3396 https://www.mathnet.ru/eng/tm/v278/p49
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Abstract page: | 309 | Full-text PDF : | 58 | References: | 53 |
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