Effective solution of the problem of the optimal stability polynomial

被引：5
|
作者：
Bogatyrëv, AB [1 ]
机构：
[1] Moscow Inst Phys & Technol, RAS, Inst Numerical Math, Moscow, Russia
来源：
SBORNIK MATHEMATICS | 2005年 / 196卷 / 7-8期
关键词：
D O I：
10.1070/SM2005v196n07ABEH000944
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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 Poincare series is described.
引用
收藏
页码：959 / 981
页数：23
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