Premium
On the two‐step method for solving nonlinear equations with nondifferentiable operator
Author(s) -
Shakhno Stepan,
Yarmola Halyna
Publication year - 2012
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201210297
Subject(s) - convergence (economics) , operator (biology) , nonlinear system , mathematics , carry (investment) , operator splitting , order (exchange) , physics , chemistry , biochemistry , finance , repressor , quantum mechanics , transcription factor , economics , gene , economic growth
We study a local and a semilocal convergence of the two‐step method for solving nonlinear equations with a nondifferentiable operator. Its method is based on two methods of order of convergence $1 + \sqrt{2}$ . We carry out the numerical research on test problems and do the comparison of obtained results. (© 2012 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)