Fast intersection methods for the solution of some nonlinear systems of equations
Beauzamy, Bernard
J. Appl. Math., Tome 2004 (2004) no. 1, p. 127-136 / Harvested from Project Euclid
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We give a fast method to solve numerically some systems of nonlinear equations. This method applies basically to all systems which can be put in the form $U\circ V(X)=Y$ , where $U$ and $V$ are two possibly nonlinear operators. It uses a modification of Newton's algorithm, in the sense that one projects alternatively onto two subsets. But, here, these subsets are not subspaces any more, but manifolds in a Euclidean space.
Publié le : 2004-06-20
Classification:  65D99,  14Q10 
@article{1089229336,
     author = {Beauzamy, Bernard},
     title = {Fast intersection methods for the solution of some nonlinear systems of equations},
     journal = {J. Appl. Math.},
     volume = {2004},
     number = {1},
     year = {2004},
     pages = { 127-136},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1089229336}
}

Beauzamy, Bernard. Fast intersection methods for the solution of some nonlinear systems of equations. J. Appl. Math., Tome 2004 (2004) no. 1, pp.  127-136. http://gdmltest.u-ga.fr/item/1089229336/