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 language | English |
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Pages (from-to) | 304-313 |
Number of pages | 10 |
Journal | Computer Physics Communications |
Volume | 175 (4) |
Issue number | 4 |
DOIs | |
Publication status | Published - 15 Aug 2006 |
ASJC Scopus subject areas
- Computer Science Applications
- General Physics and Astronomy