Unified majorizing sequences for Traub-type multipoint iterative procedures

Abstract:

We present a unified approach to generating majorizing sequences for multipoint iterative procedures in order to solve nonlinear equations in a Banach space setting. The semilocal convergence results have the following advantages over earlier work (under the same computational cost): weaker sufficient convergence conditions, more precise error bounds on the distances involved and more precise information on the location of the solution. Special cases and numerical examples are also provided in this study. © 2012 Springer Science+Business Media New York.

Año de publicación:

2013

Keywords:

• Freéchet derivative
• Majorizing sequence
• Divided difference
• semilocal convergence
• Multipoint iterative procedure
• Banach space

Fuente:

scopus