ENGLISH

Computing the Zeros of Analytic Functions

By Peter Kravanja , Marc Van Barel (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2000
ISBN
9783540671626, 3540671625
DOI
10.1007/BFb0103927
Open Library ID
OL9063270M
Language
english
Format
DJVU
Filesize
806 kB (825375 bytes)
Series
Lecture Notes in Mathematics 1727
Edition
1
Pages
112\116
Library
Kolxo3
DPI
300
Time added
2009-07-20 03:45:11
Numerical Analysis; Functions of a Complex Variabl

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.

Similar books