A class of simultaneous methods for the zeros of analytic functions (Q1192171)
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scientific article; zbMATH DE number 60618
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A class of simultaneous methods for the zeros of analytic functions |
scientific article; zbMATH DE number 60618 |
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A class of simultaneous methods for the zeros of analytic functions (English)
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27 September 1992
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Methods for simultaneously approximating simple zeros of analytic functions are presented. Their order of convergence is \(m+2\), where \(m\) is the order of the highest derivative of the analytic function appearing in the iterative formula. Attention is paid to the total-step and single- step methods with Newton and Halley corrections because of their high computational efficiency.
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iterative methods
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total-step method
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Newton correction
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simple zeros of analytic functions
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order of convergence
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single-step methods
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Halley corrections
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computational efficiency
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