Local convergence analysis of a modified Newton-Jarratt's composition under weak conditions

Ioannis K. Argyros; Santhosh George

Commentationes Mathematicae Universitatis Carolinae (2019)

  • Volume: 60, Issue: 2, page 219-229
  • ISSN: 0010-2628

Abstract

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A. Cordero et. al (2010) considered a modified Newton-Jarratt's composition to solve nonlinear equations. In this study, using decomposition technique under weaker assumptions we extend the applicability of this method. Numerical examples where earlier results cannot apply to solve equations but our results can apply are also given in this study.

How to cite

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Argyros, Ioannis K., and George, Santhosh. "Local convergence analysis of a modified Newton-Jarratt's composition under weak conditions." Commentationes Mathematicae Universitatis Carolinae 60.2 (2019): 219-229. <http://eudml.org/doc/294731>.

@article{Argyros2019,
abstract = {A. Cordero et. al (2010) considered a modified Newton-Jarratt's composition to solve nonlinear equations. In this study, using decomposition technique under weaker assumptions we extend the applicability of this method. Numerical examples where earlier results cannot apply to solve equations but our results can apply are also given in this study.},
author = {Argyros, Ioannis K., George, Santhosh},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Newton-Jarratt's method; radius of convergence; local convergence; decomposition techniques; restricted convergence domain},
language = {eng},
number = {2},
pages = {219-229},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Local convergence analysis of a modified Newton-Jarratt's composition under weak conditions},
url = {http://eudml.org/doc/294731},
volume = {60},
year = {2019},
}

TY - JOUR
AU - Argyros, Ioannis K.
AU - George, Santhosh
TI - Local convergence analysis of a modified Newton-Jarratt's composition under weak conditions
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2019
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 60
IS - 2
SP - 219
EP - 229
AB - A. Cordero et. al (2010) considered a modified Newton-Jarratt's composition to solve nonlinear equations. In this study, using decomposition technique under weaker assumptions we extend the applicability of this method. Numerical examples where earlier results cannot apply to solve equations but our results can apply are also given in this study.
LA - eng
KW - Newton-Jarratt's method; radius of convergence; local convergence; decomposition techniques; restricted convergence domain
UR - http://eudml.org/doc/294731
ER -

References

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