Fast intersection methods for the solution of some nonlinear systems of equations

Bernard Beauzamy

Journal of Applied Mathematics, 2004, vol. 2004, 1-10

Abstract:

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 ∘ 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.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:984012

DOI: 10.1155/S1110757X04307084

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