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

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)

摘要
本研究提出一款可靠且可移植的解析函数零点求解软件包，命名为ZEAL（ZEros of AnaLytic functions）。给定复平面内的矩形区域W，以及在W内解析且边界无零点的函数f:W→C，ZEAL可定位并计算W内所有f的零点及其各自的重数。该软件包基于形式正交多项式理论，其实现流程为……（原文存在截断）

程序名称：ZEAL
目录编号：ADKW_v1_0

问题特性
ZEAL是一款用于求解解析函数零点的通用软件包，可应用于多种物理研究场景。具体而言，给定复平面内的矩形区域W，以及在W内解析且边界无零点的函数f:W→C，ZEAL可计算W内所有f的零点及其各自的重数。

曼德莱数据（Mendeley Data）CPC仓库收录的本程序版本：
ADKW_v1_0; ZEAL; 10.1016/S0010-4655(99)00429-4

本程序源自贝尔法斯特女王大学（Queen's University Belfast）馆藏的CPC程序库（1969-2019年）