Improved local convergence analysis of inexact Newton-like methods under the majorant condition

Ioannis K. Argyros, and Santhosh George. "Improved local convergence analysis of inexact Newton-like methods under the majorant condition." Applicationes Mathematicae 42.4 (2015): 343-357. <http://eudml.org/doc/279349>.

@article{IoannisK2015,
abstract = {We present a local convergence analysis of inexact Newton-like methods for solving nonlinear equations. Using more precise majorant conditions than in earlier studies, we provide: a larger radius of convergence; tighter error estimates on the distances involved; and a clearer relationship between the majorant function and the associated least squares problem. Moreover, these advantages are obtained under the same computational cost.},
author = {Ioannis K. Argyros, Santhosh George},
journal = {Applicationes Mathematicae},
keywords = {inexact Newton-like methods; Banach space; majorant condition; local convergence},
language = {eng},
number = {4},
pages = {343-357},
title = {Improved local convergence analysis of inexact Newton-like methods under the majorant condition},
url = {http://eudml.org/doc/279349},
volume = {42},
year = {2015},
}

TY - JOUR
AU - Ioannis K. Argyros
AU - Santhosh George
TI - Improved local convergence analysis of inexact Newton-like methods under the majorant condition
JO - Applicationes Mathematicae
PY - 2015
VL - 42
IS - 4
SP - 343
EP - 357
AB - We present a local convergence analysis of inexact Newton-like methods for solving nonlinear equations. Using more precise majorant conditions than in earlier studies, we provide: a larger radius of convergence; tighter error estimates on the distances involved; and a clearer relationship between the majorant function and the associated least squares problem. Moreover, these advantages are obtained under the same computational cost.
LA - eng
KW - inexact Newton-like methods; Banach space; majorant condition; local convergence
UR - http://eudml.org/doc/279349
ER -