Publication
Title
ZEAL : a mathematical software package for computing zeros of analytic functions
Author
Abstract
We present a reliable and portable software package for computing zeros of analytic functions. The package is named ZEAL (ZEros of AnaLytic functions). Given a rectangular region W in the complex plane and a function f :W !C that is analytic in W and does not have zeros on the boundary of W, ZEAL localizes and computes all the zeros of f that lie inside W, together with their respective multiplicities. ZEAL is based on the theory of formal orthogonal polynomials. It proceeds by evaluating numerically certain integrals along the boundary of W involving the logarithmic derivative f 0 =f and by solving generalized eigenvalue problems. The multiplicities are computed by solving a linear system of equations that has Vandermonde structure. ZEAL is written in Fortran 90.
Language
English
Source (journal)
Computer physics communications. - Amsterdam
Publication
Amsterdam : 2000
ISSN
0010-4655
Volume/pages
124:2-3(2000), p. 212-232
ISI
000085195400008
Full text (Publisher's DOI)
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
External links
Web of Science
Record
Identification
Creation 17.04.2012
Last edited 06.07.2017