A procedure for obtaining a family of iterative formulas for finding zeros of functions (Q2853214)
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scientific article; zbMATH DE number 6217168
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A procedure for obtaining a family of iterative formulas for finding zeros of functions |
scientific article; zbMATH DE number 6217168 |
Statements
18 October 2013
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simple zero
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Laguerre method
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cubic convergence
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nonlinear equations
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iterative method
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0.8975167
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0.89047754
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0.8886666
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A procedure for obtaining a family of iterative formulas for finding zeros of functions (English)
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A family of iterative formulas for finding zeros of functions is presented. All the methods from this family are cubically convergent for a simple zero. The Laguerre method belongs to this family of iterative formulas. It is also explained the superior behavior of the Laguerre method, starting from the point \(x_k\) where \(| x_k| \) is large.
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