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© 2000

Computing the Zeros of Analytic Functions

  • Authors
Book

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

  • Book Title Computing the Zeros of Analytic Functions
  • Authors Peter Kravanja
    Marc Van Barel
  • Series Title Lecture Notes in Mathematics
  • Series Abbreviated Title Lecture Notes in Mathematics
  • DOI https://doi.org/10.1007/BFb0103927
  • Copyright Information Springer-Verlag Berlin Heidelberg 2000
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Softcover ISBN 978-3-540-67162-6
  • eBook ISBN 978-3-540-46518-8
  • Series ISSN 0075-8434
  • Series E-ISSN 1617-9692
  • Edition Number 1
  • Number of Pages VIII, 112
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Functions of a Complex Variable
    Numerical Analysis
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