Advertisement

Computing the Zeros of Analytic Functions

  • Authors
  • Peter Kravanja
  • Marc Van Barel

Part of the Lecture Notes in Mathematics book series (LNM, volume 1727)

Table of contents

  1. Front Matter
    Pages I-VII
  2. Peter Kravanja, Marc Van Barel
    Pages 1-59
  3. Peter Kravanja, Marc Van Barel
    Pages 61-81
  4. Peter Kravanja, Marc Van Barel
    Pages 83-89
  5. Peter Kravanja, Marc Van Barel
    Pages 91-103
  6. Back Matter
    Pages 105-112

About this book

Introduction

Computing all the zeros of an analytic function and their respective multiplicities, locating clusters of zeros and analytic fuctions, computing zeros and poles of meromorphic functions, and solving systems of analytic equations are problems in computational complex analysis that lead to a rich blend of mathematics and numerical analysis. This book treats these four problems in a unified way. It contains not only theoretical results (based on formal orthogonal polynomials or rational interpolation) but also numerical analysis and algorithmic aspects, implementation heuristics, and polished software (the package ZEAL) that is available via the CPC Program Library. Graduate studets and researchers in numerical mathematics will find this book very readable.

Keywords

Complex analysis Meromorphic function analytic function computational complex analysis formal orthogonal polynomials numerical analysis rational interpolation zeros of analytic functions

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0103927
  • Copyright Information Springer-Verlag Berlin Heidelberg 2000
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-67162-6
  • Online ISBN 978-3-540-46518-8
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site