Computing the zeros of analytic functions /Peter Kravanj, Marc Van Barel.
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 blen...
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin ; New York :
Springer,
2000.
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| Series: | Lecture notes in mathematics (Springer-Verlag) ;
1727. |
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| Online Access: | Connect to the full text of this electronic book |
| 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 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. |
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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (vi, 111 pages) : illustrations. |
| Bibliography: | Includes bibliographical references (pages [105]-111). |
| ISBN: | 9783540465188 (electronic bk.) 3540465189 (electronic bk.) |