Computing the Zeros of Analytic Functions

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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Opis bibliograficzny
Główni autorzy: Kravanja, Peter, 1971-, Barel, Marc Van, 1960-...., mathématicien (Autor)
Format: Livre numérique
Język:Anglais
Wydane: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Seria:Lecture notes in mathematics 1727
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Edition sous un autre format:• Computing the zeros of analytic functions, Peter Kravanja, Marc Van Barel, 2000, Berlin, Springer, 1 vol. (VI-111 p.), Lecture notes in mathematics, 3-540-67162-5
• Computing the Zeros of Analytic Functions, Texte imprimé, 9783662180907
Opis
Streszczenie: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.
Deskrypcja:Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
ISBN:9783540465188 (PDF)
ISSN:1617-9692
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