A continuation method for solving non-linear equations in \(\mathbb{R}\) (Q2350557)
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| Language | Label | Description | Also known as |
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| English | A continuation method for solving non-linear equations in \(\mathbb{R}\) |
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A continuation method for solving non-linear equations in \(\mathbb{R}\) (English)
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24 June 2015
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A parameter-based continuation method connecting two third-order iterative methods, namely the Chebyshev method and the super-Halley method for solving nonlinear equations in \(\mathbb{R}\) without using the second derivative is derived. Results of numerical examples are given.
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nonlinear equations
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continuation method
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convergence analysis
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error bounds
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Chebyshev's method
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super-Halley method
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iterative method
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numerical example
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