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A composite third order Newton-Steffensen method for solving nonlinear equations - MaRDI portal

A composite third order Newton-Steffensen method for solving nonlinear equations (Q2572337)

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A composite third order Newton-Steffensen method for solving nonlinear equations
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    A composite third order Newton-Steffensen method for solving nonlinear equations (English)
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    16 November 2005
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    The author presents a third order method for local refinement of roots of single nonlinear equations, which is a combination of the standard Newton iteration formula and the Stephenson formula. The method could be useful to calculate zeros of functions with large values that may otherwise cause overflow.
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    Newton method
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    Stephenson method
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    local refinement of simple real roots
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    third order method
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