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Computing the Zeros of Analytic Functions

  • Book
  • © 2000

Overview

Authors:
  1. Peter Kravanja
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    You can also search for this author in PubMed   Google Scholar

  2. Marc Barel
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    You can also search for this author in PubMed   Google Scholar

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

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Table of contents (4 chapters)

  1. Front Matter

    Pages I-VII
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  2. Zeros of analytic functions

    • Peter Kravanja, Marc Van Barel
    Pages 1-59

  3. Clusters of zeros of analytic functions

    • Peter Kravanja, Marc Van Barel
    Pages 61-81

  4. Zeros and poles of meromorphic functions

    • Peter Kravanja, Marc Van Barel
    Pages 83-89

  5. Systems of analytic equations

    • Peter Kravanja, Marc Van Barel
    Pages 91-103

  6. Back Matter

    Pages 105-112
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Keywords

About this book

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.

Bibliographic Information

  • Book Title: Computing the Zeros of Analytic Functions

  • Authors: Peter Kravanja, Marc Barel

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0103927

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2000

  • Softcover ISBN: 978-3-540-67162-6Published: 27 March 2000

  • eBook ISBN: 978-3-540-46518-8Published: 06 May 2007

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VIII, 112

  • Topics: Functions of a Complex Variable, Numerical Analysis

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