# ZEAL: A mathematical software package for computing zeros of analytic functions

## Description

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 procee... Title of program: ZEAL Catalogue Id: ADKW_v1_0 Nature of problem ZEAL is a general purpose package for computing zeros of analytic functions. It can be used in various physical applications. More precisely, given a rectangular region W in the complex plane and an analytic function f : W -> C, such that no zero of f lies on the boundary of W, ZEAL calculates all the zeros of f that lie inside W, together with their respective multiplicities. Versions of this program held in the CPC repository in Mendeley Data ADKW_v1_0; ZEAL; 10.1016/S0010-4655(99)00429-4 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)