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 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 al...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2004-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/S1110757X04307084 |
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| Summary: | 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. |
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| ISSN: | 1110-757X 1687-0042 |