Computing the Zeros of Analytic Functions (Lecture Notes in Mathematics)
1 edition
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Word Count
27,750 words, Guess
Page Count
111 pages
Physical Format
Paperback
Identifiers
- Open LibraryOL9063270M
- ISBN-139783540671626
- ISBN-103540671625
- OCLC Control Number43662013
- Internet Archivecomputingzerosan00krav
and 3 more
- Library of Congress Control Number00026587
- Goodreads5598850
- LibraryThing1900331
Classifications
- LCCQA3.L28 no. 1727
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.
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