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Sbornik: Mathematics, 2005, Volume 196, Issue 7, Pages 959–981
DOI: https://doi.org/10.1070/SM2005v196n07ABEH000944 (Mi sm1375) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Effective solution of the problem of the optimal stability polynomial

A. B. Bogatyrevab

a Moscow Institute of Physics and Technology
b Institute of Numerical Mathematics, Russian Academy of Sciences
English version PDF (331 kB) Citations (12) Russian version article
References:
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DOI: https://doi.org/10.1070/SM2005v196n07ABEH000944
Abstract: An effective method for finding the polynomial approximating the exponential function with order 3 at the origin and deviating from 0 by at most 1 on the longest interval of the real axis is put forward. This problem is reduced to the solution of four equations on a 4-dimensional moduli space of algebraic curves. A numerical realization of this method using summation of linear Poincaré series is described.
Received: 19.03.2004 and 28.03.2005
Bibliographic databases:
UDC: 517.5
MSC: Primary 41A29, 65L06; Secondary 32G15
Language: English
Original paper language: Russian
Citation: A. B. Bogatyrev, “Effective solution of the problem of the optimal stability polynomial”, Sb. Math., 196:7 (2005), 959–981
Citation in format AMSBIB
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\by A.~B.~Bogatyrev
\paper Effective solution of the problem of the optimal stability polynomial
\jour Sb. Math.
\yr 2005
\vol 196
\issue 7
\pages 959--981
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  • https://doi.org/10.1070/SM2005v196n07ABEH000944
  • https://www.mathnet.ru/eng/sm/v196/i7/p27
    Erratum
    This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник - 1992–2005 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:508
    Russian version PDF:225
    English version PDF:19
    References:75
    First page:3
     
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