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This article is cited in 11 scientific papers (total in 11 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
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
Citation:
A. B. Bogatyrev, “Effective solution of the problem of the optimal stability polynomial”, Mat. Sb., 196:7 (2005), 27–50; Sb. Math., 196:7 (2005), 959–981
Linking options:
https://www.mathnet.ru/eng/sm1375https://doi.org/10.1070/SM2005v196n07ABEH000944 https://www.mathnet.ru/eng/sm/v196/i7/p27
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Abstract page: | 490 | Russian version PDF: | 222 | English version PDF: | 17 | References: | 75 | First page: | 3 |
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