Open AccessON THE CONVERGENCE OF THE HALLEY METHOD FOR NONLINEAR EQUATION OF ONE VARIABLE
Author(s) -
Dong Chen
Publication year - 1993
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.24.1993.4517
Subject(s) - mathematics , convergence (economics) , nonlinear system , variable (mathematics) , rate of convergence , mathematical analysis , computer science , key (lock) , physics , computer security , quantum mechanics , economics , economic growth
In this paper, under standard Newton-Kantorovich condi tions, we establish the Kantorovich convergence theorem and give the optimal error bound for Halley iteation method for solving nonlinear complex equations on the complex plane.