Computing the Zeros of Analytic Functions (Lecture Notes in Mathematics)
Edition: 1 edition
Publisher: Springer
Published: April 25, 2000
Language: eng
Format: Paperback
Number of pages: 111
ISBN-13: 9783540671626
Subjects: Complex analysis; Numerical analysis; Zero (The number); General; Polynomials; Mathematics; Science/Mathematics; Calculus; Number Systems; Mathematics / Calculus; Mathematics / Number Systems; Mathematics-Number Systems; Medical-General; computational complex analysis; formal orthogonal polynomials; rational interpolation; zeros of analytic functions; Algebra - Elementary; Functional Analysis; Analytic functions
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.