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

Format:

Book

Author/Creator:

Kravanja, Peter, 1971-

Contributor:

Barel, Marc van, 1960-

Series:

Lecture notes in mathematics (Springer-Verlag) ; 1727.

Lecture notes in mathematics, 0075-8434 ; 1727

Language:

English

Subjects (All):

Analytic functions.

Polynomials.

Zero (The number).

Physical Description:

vi, 111 pages : illustrations ; 24 cm.

Place of Publication:

Berlin ; New York : Springer, [2000]

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.

Notes:

Includes bibliographical references (pages [105]-111).

ISBN:

3540671625

OCLC:

43662013