Title: ZEAL: A mathematical software package for computing zeros of analytic functions
Authors: Kravanja, Peter ×
Van Barel, Marc
Ragos, O
Vrahatis, MN
Zafiropoulos, FA #
Issue Date: Feb-2000
Publisher: Elsevier science bv
Series Title: Computer physics communications vol:124 issue:2-3 pages:212-232
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'/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. (C) 2000 Elsevier Science B.V. All rights reserved.
ISSN: 0010-4655
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Numerical Analysis and Applied Mathematics Section
× corresponding author
# (joint) last author

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