Geometry and convergence of some third-order methods (Q2782159)
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scientific article; zbMATH DE number 1727704
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Geometry and convergence of some third-order methods |
scientific article; zbMATH DE number 1727704 |
Statements
25 April 2002
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nonlinear equations
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third order methods
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convergence
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interpolation by exponential and logarithmic functions
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comparison of methods
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numerical examples
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zeros
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Geometry and convergence of some third-order methods (English)
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Two iterative third-order methods are introduced for the problem of finding the zeros of a function. Sufficient conditions are developed for their convergence. The main idea is to use an interpolation by an exponential and a logarithmic function. The proposed methods are compared with the classical ones, from an analytical and a numerical point of view.
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