.png){kind=icon}
Return
On the midpoint method for solving equations
.png){kind=icon}
PRE
AI
DOI：10.1016/j.amc.2010.03.076.png)
.png){kind=icon}
Original request for help.png){kind=icon}
Share.png){kind=icon}
Save
Abstract
En 中文
Using our idea of recurrent functions, we provide a new semilocal convergence analysis for the midpoint method (MPM) introduced by Argyros and Chen. We show that this way the error estimates are tighter, and the sufficient convergence conditions can be weaker. Moreover, we also show that the Newton-type method (NTM) introduced by Wu and Zhao (using the same information as (MPM)) can always be replaced by the (MPM). Numerical results where our results apply to solve nonlinear equations, but others cannot are also provided in this study. (C) 2010 Elsevier Inc. All rights reserved.
Keywords:
Midpoint method
Newton-type methods
Banach space
Majorizing sequence
Frechet-derivative
Journal
IF:
3.4
Papers:
2.3W
Citations:
3.3W
Organization
Cited Papers
.png){kind=icon}
ShareSaveShareSaveShareSaveShareSave
ShareSaveShareSave no more
no more