A simply constructed third-order modification of Newton's method (Q935768)
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scientific article; zbMATH DE number 5309280
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A simply constructed third-order modification of Newton's method |
scientific article; zbMATH DE number 5309280 |
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A simply constructed third-order modification of Newton's method (English)
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8 August 2008
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This is a nice discussion on third-order convergent Newton-like methods for solving nonlinear scalar equations \(f(x)=0\). Using the formulation \(f'(y)\approx f(x)[f(x)-f(y)]/[f(x)+f(y)]\) the author unifies a few third-order Newton-like methods and shows that a new variation of third-order methods can be generated easily. Numerical examples illustrates efficiency of some proposed methods.
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Newton method
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iterative methods
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nonlinear equations
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third-order convergence
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numerical examples
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