On rational functions without Froissart doublets

Autor:	Beckermann, Bernhard, Labahn, George, Matos, Ana C.
Rok vydání:	2016
Předmět:	Mathematics - Numerical Analysis 41A21 65F22
Druh dokumentu:	Working Paper
Popis:	In this paper we consider the problem of working with rational functions in a numeric environment. A particular problem when modeling with such functions is the existence of Froissart doublets, where a zero is close to a pole. We discuss three different parameters which allow one to monitor the absence of Froissart doublets for a given general rational function. These include the euclidean condition number of an underlying Sylvester-type matrix, a parameter for determing coprimeness of two numerical polynomials and bounds on the spherical derivative. We show that our parameters sharpen those found in a previous paper by two of the autours. Comment: 18 pages, 1 figure
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1605.00506 Zobrazit plný text záznamu View this record from Arxiv