Combining binary search and Newton's method to compute real roots for a class of real functions (Q1336478)
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scientific article; zbMATH DE number 665873
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Combining binary search and Newton's method to compute real roots for a class of real functions |
scientific article; zbMATH DE number 665873 |
Statements
Combining binary search and Newton's method to compute real roots for a class of real functions (English)
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29 August 1996
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The paper is devoted to the study of the computation of a hybrid algorithm and its modified variant, for a class of real functions satisfying a Smale type condition of the form \[ |\Theta^{(k)}(x)/k'\Theta'(x)|^{1/(k- 1)}\leq \alpha/x. \] Various examples and applications to illustrate these results are also given.
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binary search
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Newton's method
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real roots
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real functions
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bisection method
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complexity
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hybrid algorithm
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Smale type condition
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