Computing the Zeros of Analytic Functions : Lecture Notes in Mathematics - Peter Kravanja

Instant online reading.
Don't wait for delivery!

Computing the Zeros of Analytic Functions

By: Peter Kravanja, Marc Van Barel

Write A Review

Paperback | 1 April 2000

At a Glance

Paperback
124 Pages

Dimensions(cm)
23.5 x 15.24 x 0.64

Paperback

$50.00

or 4 interest-free payments of $12.50 with

Ships in 5 to 7 business days

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.

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

Orders over $49.00 qualify for free shipping.

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.

Defective items

If there is a problem with any of the items received for your order then the Booktopia Customer Care team is ready to assist you.

For more info please visit our Help Centre.

You Can Find This Book In

Non-Fiction Mathematics Calculus & Mathematical Analysis Numerical Analysis Medicine Medicine in General Complex Analysis Functional Analysis & Transforms Algebra

Zeros of analytic functions	p. 1
Introduction	p. 1
Computing the total number of zeros with certainty	p. 4
An overview of other approaches	p. 8
Formal orthogonal polynomials	p. 10
An accurate algorithm to compute zeros of FOPs	p. 21
The software package ZEAL	p. 34
The approach taken by ZEAL	p. 35
The structure of ZEAL	p. 37
ZEAL'S user interface	p. 40
A few examples of how to use ZEAL	p. 43
Concluding remarks	p. 50
A derivative-free approach	p. 51
Clusters of zeros of analytic functions	p. 61
How to obtain the centre of a cluster and its weight	p. 61
A numerical example	p. 65
Rational interpolation at roots of unity	p. 69
More numerical examples	p. 79
Zeros and poles of meromorphic functions	p. 83
Introduction	p. 83
Theoretical considerations and numerical algorithm	p. 85
A numerical example	p. 88
Systems of analytic equations	p. 91
Introduction	p. 92
A multidimensional logarithmic residue formula	p. 93
The algorithm	p. 97
Numerical examples	p. 101
References	p. 105
Table of Contents provided by Publisher. All Rights Reserved.

Computing the Zeros of Analytic Functions

At a Glance

Paperback

Shipping

How to return your order

Defective items

You Can Find This Book In

More in Numerical Analysis

Advances in Numerical Methods and Analysis

Introductory Numerical Analysis

Introduction to Finite Element Analysis Using MATLAB® and Abaqus

Learning Data Science

Data Wrangling, Exploration, Visualization, and Modeling with Python

Stochastic Navier-Stokes Equations on Spheres and Spherical Shells

Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series

Impact Dynamics

A Numerical Approach

Data-Driven Modeling & Scientific Computation

Methods for Complex Systems & Big Data

Numerical Methods for Modeling Metasurface with GSTC

Mathematical Methods using Python

Applications in Physics and Engineering

Mathematical Modelling for Engineering and Physical Applications

Practical Examples and Case Studies

Numerical Solutions for Nanocomposite Structures

Introduction to Computational Engineering with MATLAB®

Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series

Applied Mathematics with F#

Derivative-Free and Blackbox Optimization

Springer Series in Operations Research and Financial Engineering

ELECTRIMACS 2024

Selected Papers - Volume 2

Handbook of Visual, Experimental and Computational Mathematics

Bridges through Data

Optimization, Modeling, Simulation, and Analytics

COMOSA 2025

Non-Smooth and Complementarity-Based Distributed Parameter Systems

Simulation and Hierarchical Optimization, Part II

Sustained Simulation Performance 2023-2024

Proceedings of the Joint Workshop on Sustained Simulation Performance, High-Performance Computing Center Stuttgart (HLRS), University of Stuttgart and Tohoku University, 2023 and 2024

Tools for High Performance Computing 2024

Proceedings of the 15th International Workshop on Parallel Tools for High Performance Computing

Computational Physics I

Numerical Methods

Physics-Based and Data-Driven Modeling for Digital Twins

ICIAM2023 Springer Series

Modern Numerical Nonlinear Optimization

Springer Optimization and Its Applications

Walter Gautschi, Volume 4

Selected Works with Commentaries

This product is categorised by