Practical problems arising for finding roots of nonlinear equations (Q1089744)
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scientific article; zbMATH DE number 4005462
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Practical problems arising for finding roots of nonlinear equations |
scientific article; zbMATH DE number 4005462 |
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Practical problems arising for finding roots of nonlinear equations (English)
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1985
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Consider the numerical solutions of a nonlinear equation \(f(x)=0\). We apply Newton's and Newton's-like methods to solve the equation. First, we discuss the attainable correct digits for the approximated root. Second, we give a practical termination criterion and the method to estimate the accuracy of the obtained root. Some numerical examples are presented.
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Newton method
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attainable correct digits
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termination criterion
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numerical examples
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0.9014728
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0.8978853
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0.88650495
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