Lecture Notes in Mathematics

Computing the Zeros of Analytic Functions

Authors: Kravanja, Peter, Barel, Marc Van

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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.

Table of contents (4 chapters)

  • Zeros of analytic functions

    Kravanja, Peter (et al.)

    Pages 1-59

  • Clusters of zeros of analytic functions

    Kravanja, Peter (et al.)

    Pages 61-81

  • Zeros and poles of meromorphic functions

    Kravanja, Peter (et al.)

    Pages 83-89

  • Systems of analytic equations

    Kravanja, Peter (et al.)

    Pages 91-103

Buy this book

eBook $29.99
price for USA (gross)
  • ISBN 978-3-540-46518-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $39.00
price for USA
  • ISBN 978-3-540-67162-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Computing the Zeros of Analytic Functions
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1727
Copyright
2000
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-46518-8
DOI
10.1007/BFb0103927
Softcover ISBN
978-3-540-67162-6
Series ISSN
0075-8434
Edition Number
1
Number of Pages
VIII, 112
Topics