A Newton-Kantorovich-SOR type theorem
Béla Finta
Open Mathematics, Tome 3 (2005), p. 282-293 / Harvested from The Polish Digital Mathematics Library
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In this paper we propose a new method for solving nonlinear systems of equations in finite dimensional spaces, combining the Newton-Raphson's method with the SOR idea. For the proof we adapt Kantorovich's demonstration given for the Newton-Raphson's method. As applications we reobtain the classical Newton-Raphson's method and the author's Newton-Kantorovich-Seidel type result.

Publié le : 2005-01-01
EUDML-ID : urn:eudml:doc:268904 
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     author = {B\'ela Finta},
     title = {A Newton-Kantorovich-SOR type theorem},
     journal = {Open Mathematics},
     volume = {3},
     year = {2005},
     pages = {282-293},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_BF02479204}
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Béla Finta. A Newton-Kantorovich-SOR type theorem. Open Mathematics, Tome 3 (2005) pp. 282-293. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_BF02479204/

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