Computing Zeros of Analytic Functions in the Complex Plane without using Derivatives

Charles Gillan, Alexander Schuchinsky, Ivor Spence

Research output: Contribution to journalArticlepeer-review

24 Citations (Scopus)

Abstract

A new approach to evaluating all multiple complex roots of analytical function f(z) confined to the specified rectangular domain of complex plane has been developed and implemented in Fortran code. Generally f (z), despite being holomorphic function, does not have a closed analytical form thereby inhibiting explicit evaluation of its derivatives. The latter constraint poses a major challenge to implementation of the robust numerical algorithm. This work is at the instrumental level and provides an enabling tool for solving a broad class of eigenvalue problems and polynomial approximations.
Original languageEnglish
Pages (from-to)304-313
Number of pages10
JournalComputer Physics Communications
Volume175 (4)
Issue number4
DOIs
Publication statusPublished - 15 Aug 2006

ASJC Scopus subject areas

  • Computer Science Applications
  • Physics and Astronomy(all)

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