On the semilocal convergence of a two-step Newton-like projection method for ill-posed equations

Ioannis K. Argyros, and Santhosh George. "On the semilocal convergence of a two-step Newton-like projection method for ill-posed equations." Applicationes Mathematicae 40.3 (2013): 367-382. <http://eudml.org/doc/279883>.

@article{IoannisK2013,
abstract = {We present new semilocal convergence conditions for a two-step Newton-like projection method of Lavrentiev regularization for solving ill-posed equations in a Hilbert space setting. The new convergence conditions are weaker than in earlier studies. Examples are presented to show that older convergence conditions are not satisfied but the new conditions are satisfied.},
author = {Ioannis K. Argyros, Santhosh George},
journal = {Applicationes Mathematicae},
keywords = {two-step Newton-like projection method; Newton method; Hilbert space; ill-posed equation; semilocal convergence condition; numerical examples},
language = {eng},
number = {3},
pages = {367-382},
title = {On the semilocal convergence of a two-step Newton-like projection method for ill-posed equations},
url = {http://eudml.org/doc/279883},
volume = {40},
year = {2013},
}

TY - JOUR
AU - Ioannis K. Argyros
AU - Santhosh George
TI - On the semilocal convergence of a two-step Newton-like projection method for ill-posed equations
JO - Applicationes Mathematicae
PY - 2013
VL - 40
IS - 3
SP - 367
EP - 382
AB - We present new semilocal convergence conditions for a two-step Newton-like projection method of Lavrentiev regularization for solving ill-posed equations in a Hilbert space setting. The new convergence conditions are weaker than in earlier studies. Examples are presented to show that older convergence conditions are not satisfied but the new conditions are satisfied.
LA - eng
KW - two-step Newton-like projection method; Newton method; Hilbert space; ill-posed equation; semilocal convergence condition; numerical examples
UR - http://eudml.org/doc/279883
ER -