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 



00104655


Volume/pages 



124:23(2000), p. 212232


ISI 



000085195400008


Full text (Publisher's DOI) 


 
