Title :

On rational functions without Froissart doublets

Author(s) :

Beckermann, Bernhard [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Labahn, George [Auteur]
Matos, Ana C. [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]

Journal title :

Numerische Mathematik

Pages :

615-633

Publisher :

Springer Verlag

Publication date :

2018

ISSN :

0029-599X

English keyword(s) :

spurious poles
numerical coprimeness
numerical analysis
rational functions
Padé approximation
Froissart doublets

HAL domain(s) :

Mathématiques [math]

English abstract : [en]

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 ...
Show more >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 authors.Show less >

Language :

Anglais

Popular science :

Non

ANR Project :

Centre Européen pour les Mathématiques, la Physique et leurs Interactions

Comment :

18 pages, 1 figure

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL