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Derivative free algorithm for solving nonlinear equations - MaRDI portal

Derivative free algorithm for solving nonlinear equations (Q644901)

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scientific article; zbMATH DE number 5968801
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Derivative free algorithm for solving nonlinear equations
scientific article; zbMATH DE number 5968801

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    Derivative free algorithm for solving nonlinear equations (English)
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    7 November 2011
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    The authors develop a simple yet practical approach for constructing derivative-free iterative methods for nonlinear equations. The approach starts from the classical Newton method and replaces the first-order derivative by finite difference approximation depending on a parameter. By appropriately selecting the parameter, methods with desired convergence orders are generated.
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    iterative methods
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    higher order
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    Newton method
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    algorithm
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    derivative-free
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