Note on the estimation of the order of convergence of some iterative methods (Q1198982)
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scientific article; zbMATH DE number 93332
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Note on the estimation of the order of convergence of some iterative methods |
scientific article; zbMATH DE number 93332 |
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Note on the estimation of the order of convergence of some iterative methods (English)
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16 January 1993
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The paper deals with a certain class of polynomials, each having a unique positive root. Using ideas of \textit{J. F. Traub} [Iterative methods for the solution of equations. (1964; Zbl 0121.112)] the author improves the upper and lower bounds established earlier by \textit{J. Herzberger} [Computing 36, 175-180 (1986; Zbl 0572.65033)]. The new estimates are applied to determination of the \(R\)-order of iterative processes.
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algebraic equation
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bounds for positive roots
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\(R\)-order of convergence
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upper and lower bounds
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