Third order iterative methods free from second derivative for nonlinear systems (Q732445)
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scientific article; zbMATH DE number 5612874
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Third order iterative methods free from second derivative for nonlinear systems |
scientific article; zbMATH DE number 5612874 |
Statements
Third order iterative methods free from second derivative for nonlinear systems (English)
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9 October 2009
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A family of predictor-corrector methods free from second derivative for solving nonlinear systems is presented. It's proven that the methods of this family are of third-order convergence. The numerical tests that allow to compare these methods with Newton's method are performed. In addition, the numerical examples improve theoretical results, showing super cubic convergence for some methods of this family.
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Newton's method
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predictor-corrector method
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convergence order
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0.9839659
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0.98061395
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0.96843386
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0.9390706
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0.93314064
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