Computing the zeros of analytic functions
Author(s)
Bibliographic Information
Computing the zeros of analytic functions
（Lecture notes in mathematics, 1727）
Springer, c2000
Available at / 78 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||172778800004
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Note
Includes bibliographical references (p. [105]-111)
Description and Table of Contents
Description
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
Zeros of analytic functions.- Clusters of zeros of analytic functions.- Zeros and poles of meromorphic functions.- Systems of analytic equations.
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