The limiting case of Thiele's interpolating continued fraction expansion (Q2748460)
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scientific article; zbMATH DE number 1659463
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The limiting case of Thiele's interpolating continued fraction expansion |
scientific article; zbMATH DE number 1659463 |
Statements
14 October 2001
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Thile's interpolating continued fraction expansion
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Newton-Padé approximants
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determinantal representations
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inverse and reciprocal differences
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numerical example
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Viscovatov's method
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0.91070956
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0.9025611
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0.89929014
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0.8942356
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0.8926413
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0.8882415
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The limiting case of Thiele's interpolating continued fraction expansion (English)
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Starting from Newton-Padé approximants, the author offers a new kind of determinantal representations for inverse and reciprocal differences which allow the coincidence of support points. A numerical example is given to support the argument that this method is more reliable in some cases than Thiele's method and Viscovatov's method.
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