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Computing the zeros of analytic functions /Peter Kravanj, Marc Van Barel.

Author: Peter Kravanja; Marc van Barel
Publisher: Berlin ; New York : Springer, 2000.
Series: Lecture notes in mathematics (Springer-Verlag), 1727.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

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  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Peter Kravanja; Marc van Barel
ISBN: 3540671625 9783540671626
OCLC Number: 43662013
Description: vi, 111 pages : illustrations ; 24 cm.
Contents: 1. Zeros of analytic functions --
Formal orthogonal polynomials --
An accurate algorithm to compute zeros of FOPs --
Numerical examples --
The software package ZEAL --
A derivative-free approach --
2. Clusters of zeros of analytic functions --
How to obtain the centre of a cluster and its weight --
A numerical example --
Rational interpolation at roots of unity --
More numerical examples --
3. Zeros and poles of meromorphic functions --
Theoretical considerations and numerical algorithm --
A numerical example --
4. Systems of analytic equations --
A multidimensional logarithmic residue formula --
The algorithm --
Numerical examples.
Series Title: Lecture notes in mathematics (Springer-Verlag), 1727.
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