On the Halley method in Banach spaces
Ioannis K. Argyros ; Hongmin Ren
Applicationes Mathematicae, Tome 39 (2012), p. 243-255 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

We provide a semilocal convergence analysis for Halley's method using convex majorants in order to approximate a locally unique solution of a nonlinear operator equation in a Banach space setting. Our results reduce and improve earlier ones in special cases.

Publié le : 2012-01-01
EUDML-ID : urn:eudml:doc:279868 
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am39-2-9,
     author = {Ioannis K. Argyros and Hongmin Ren},
     title = {On the Halley method in Banach spaces},
     journal = {Applicationes Mathematicae},
     volume = {39},
     year = {2012},
     pages = {243-255},
     zbl = {1243.65060},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am39-2-9}
}

Ioannis K. Argyros; Hongmin Ren. On the Halley method in Banach spaces. Applicationes Mathematicae, Tome 39 (2012) pp. 243-255. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am39-2-9/