Computing the Zeros of Analytic Functions
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Beschreibung
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.
Includes supplementary material: sn.pub/extras
Autor*in
Peter Kravanja
Themen in »Computing the Zeros of Analytic Functions«
Complex analysis Meromorphic function analytic function computational complex analysis formal orthogonal polynomials numerical analysis rational interpolation zeros of analytic functions