Details

Autor(en) / Beteiligte

• Beckermann, Bernhard
• Labahn, George
• Matos, Ana

Titel

On rational functions without Froissart doublets

Ist Teil von

• Numerische Mathematik, 2018, Vol.138, p.615-633

Ort / Verlag

Springer Verlag

Erscheinungsjahr

2018

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• 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 determining 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.