On the semilocal convergence of a two-step Newton-like projection method for ill-posed equations
Ioannis K. Argyros ; Santhosh George
Applicationes Mathematicae, Tome 40 (2013), p. 367-382 / Harvested from The Polish Digital Mathematics Library

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.

Publié le : 2013-01-01
EUDML-ID : urn:eudml:doc:279883
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am40-3-7,
     author = {Ioannis K. Argyros and Santhosh George},
     title = {On the semilocal convergence of a two-step Newton-like projection method for ill-posed equations},
     journal = {Applicationes Mathematicae},
     volume = {40},
     year = {2013},
     pages = {367-382},
     zbl = {1296.65081},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am40-3-7}
}
Ioannis K. Argyros; Santhosh George. On the semilocal convergence of a two-step Newton-like projection method for ill-posed equations. Applicationes Mathematicae, Tome 40 (2013) pp. 367-382. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am40-3-7/