Fixed point and Newton's methods in the complex plane (Q1785621)
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scientific article; zbMATH DE number 6945706
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fixed point and Newton's methods in the complex plane |
scientific article; zbMATH DE number 6945706 |
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Fixed point and Newton's methods in the complex plane (English)
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1 October 2018
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Summary: We revisit the necessary and sufficient conditions for linear and high order of convergence of fixed point and Newton's methods in the complex plane. Schröder's processes of the first and second kind are revisited and extended. Examples and numerical experiments are included.
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fixed point theorem
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convergence analysis
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Newton's method
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nonlinear equations
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complex plane
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