A perturbation result for generalized eigenvalue problems and its application to error estimation in a quadrature method for computing zeros of analytic functions.
type: Item
instance of: scholarly article
title: A perturbation result for generalized eigenvalue problems and its application to error estimation in a quadrature method for computing zeros of analytic functions.
zbMATH Open document ID: 1040.65040
published in: Journal of Computational and Applied Mathematics
publication date: 2004-01-26T00:00:00Z
review text: The authors obtain an upper error bound estimate in a quadrature method for computing zeros of analytic functions, studied in their recent paper [J. Comput. Appl. Math. 152, No.1--2, 467--480 (2003; Zbl 1139.65307)]. Topics for further study are also proposed.
Mathematics Subject Classification ID: 65H05
Mathematics Subject Classification ID: 65E05
zbMATH DE Number: 2032599
zbMATH Keywords: analytic function
zbMATH Keywords: zero
zbMATH Keywords: unit circle
zbMATH Keywords: quadrature method
zbMATH Keywords: error estimate
author: Peter Kravanja
author: Tetsuya Sakurai
author: Hiroshi Sugiura
author: Marc van Barel
reviewed by: Vasile Berinde
MaRDI profile type: Publication
full work available at URL: j.cam.2003.03.003
OpenAlex ID: W2019002825
cites work: Q4110164
cites work: On locating clusters of zeros of analytic functions
cites work: Computing the zeros of analytic functions
cites work: Q4270259
cites work: An error analysis of two related quadrature methods for computing zeros of analytic functions.
DOI: 10.1016/J.CAM.2003.03.003
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description: scientific article; zbMATH DE number 2032599