Bernard Beauzamy, "Fast intersection methods for the solution of some nonlinear systems of equations", Journal of Applied Mathematics, vol. 2004, Article ID 984012, 10 pages, 2004. https://doi.org/10.1155/S1110757X04307084
Fast intersection methods for the solution of some nonlinear systems of equations
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 , where and 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.
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