Froissart doublets in Pade approximation in the case of polynomial noise
Froissart doublets in Pade approximation in the case of polynomial noise
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DOI：
10.1016/s0377-0427(02)00674-x
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发表时间：
2003-04-01
影响因子：
2.4
通讯作者：
Kryakin, Y
中科院分区：
文献类型：
--
作者：
Gilewicz, J;Kryakin, Y
首先，我们研究了随机多项式Rn+1的零点与其Pade逼近式[n/n]（Rn+1）的零点和极点之间的关系。其次，我们考虑了由随机多项式噪声扰动的几何级数的Pade逼近的零点和极点的分布。我们观察到上述两个问题之间的数字有趣的连接。对Froissart双峰也作了一些数值观测。(C)2002年，Elsevier Science BY。All rights reserved.
First, we study the relation between the zeros of random polynomials Rn+1 and the zeros and poles of their Pade approximants [n/n](Rn+1). Next, we consider the distribution of zeros and poles of Pade approximants to the geometric series perturbed by a random polynomial noise. We observe numerically interesting connections between two above problems. Some numerical observations on the Froissart doublets have been also made. (C) 2002 Elsevier Science BY. All rights reserved.