Efficient continuation Newton-like method for solving systems of non-linear equations (Q2489331)
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| Language | Label | Description | Also known as |
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| English | Efficient continuation Newton-like method for solving systems of non-linear equations |
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Efficient continuation Newton-like method for solving systems of non-linear equations (English)
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16 May 2006
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A Newton-like method which allows singular Jacobians in some points is presented for nonlinear systems, and global convergence is also achieved by a continuation variant. The paper thus extends some earlier univariate results to systems. Numerical examples illustrate the advantage of this method compared to the standard Newton method.
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continuation Newton method
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systems of nonlinear equations
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root-finding
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iteration method
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comparison of methods
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singular Jacobians
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global convergence
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numerical examples
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