Extensions of Levin's transformations to vector sequences (Q1192642)
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scientific article; zbMATH DE number 61254
| Language | Label | Description | Also known as |
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| English | Extensions of Levin's transformations to vector sequences |
scientific article; zbMATH DE number 61254 |
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Extensions of Levin's transformations to vector sequences (English)
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27 September 1992
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\textit{D. Levin's} convergence acceleration method for sequences [Int. J. Comput. Math. 3, 371-388 (1973; Zbl 0274.65004)] is extended in two manners to vector sequences: one algorithm is obtained by applying the Levin transform to each vector component, the other is obtained by using Brezinski's \(H\)-algorithm for the vector sequence. A convergence theorem for certain logarithmic vector sequences is proved. Numerical examples are given.
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convergence acceleration
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vector extrapolation methods
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Levin's transformation
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logarithmic convergence
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\(H\)-algorithm
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Newton's method
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singular problem
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Numerical examples
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