The Sturm method in the complex case
type: Item
instance of: scholarly article
title: The Sturm method in the complex case
zbMATH Open document ID: 0773.65037
DOI: 10.1016/0022-4049(93)90165-P
author: Jean-Claude Yakoubsohn
published in: Journal of Pure and Applied Algebra
publication date: 1993-05-16T00:00:00Z
review text: The results of \textit{M. Marden} [Geometry of polynomials (1966; Zbl 0162.371)] for the number of zeros of an irreducible complex rational function in a sector of plane are generalized. Using the Sturm method in the complex case the number of zeros in a sector of plane are exactly computed. Numerical examples are given.
reviewed by: S.Filippi
Mathematics Subject Classification ID: 65H05
Mathematics Subject Classification ID: 65E05
Mathematics Subject Classification ID: 30C15
Mathematics Subject Classification ID: 12Y05
zbMATH DE Number: 166166
zbMATH Keywords: complex polynomial
zbMATH Keywords: numerical examples
zbMATH Keywords: number of zeros
zbMATH Keywords: irreducible complex rational function
zbMATH Keywords: Sturm method
zbMATH Keywords: sector of plane
MaRDI profile type: Publication
cites work: Q5187490
cites work: Spécialisation de la suite de Sturm et sous-résultants (I)
cites work: Specified precision polynomial root isolation is in NC
description: scientific article; zbMATH DE number 166166