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

Ioannis K. Argyros; Santhosh George

Applicationes Mathematicae (2013)

  • Volume: 40, Issue: 3, page 367-382
  • ISSN: 1233-7234

Abstract

top
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.

How to cite

top

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 -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.