Computing the Zeros of Analytic Functions (Lecture Notes in Mathematics, Vol. 1727)

Kravanja, Peter; Barel, Marc Van

ISBN 10: 3540671625 / ISBN 13: 9783540671626

Published by Springer, 2000

About this Item

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Bibliographic Details

• Title: Computing the Zeros of Analytic Functions (Lecture Notes in Mathematics, Vol. 1727)
• Publisher: Springer
• Publication Date: 2000
• Language: English
• ISBN 10: 3540671625
• ISBN 13: 9783540671626
• Binding: Soft cover
• Condition: good

About this title

Synopsis

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.