On method of osculating circle for solving nonlinear equations (Q2493783)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On method of osculating circle for solving nonlinear equations |
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On method of osculating circle for solving nonlinear equations (English)
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16 June 2006
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A cubically convergent iterative method is discussed for solving a nonlinear real scalar equation \(f(x)=0\). It is derived from an osculating circle to \(f(x)\) at \(x=x_n\). Convergence analysis and numerical examples are given.
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nonlinear equation
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Newton method
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Halley's irrational formula
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Halley's rational formula
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third-order method
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convergence
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numerical examples
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