Some structural properties of two counter-examples to the Baker-Gammel-Wills conjecture. (Q1421204)
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scientific article; zbMATH DE number 2032601
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some structural properties of two counter-examples to the Baker-Gammel-Wills conjecture. |
scientific article; zbMATH DE number 2032601 |
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Some structural properties of two counter-examples to the Baker-Gammel-Wills conjecture. (English)
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26 January 2004
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The Buslaev's and the Lubinsky's counter-examples are discussed in this work. These counter-examples are connected with the Baker-Gammel-Wills conjecture in the theory of the Padé approximation. The author shows that both counter-examples are relevant to the original form of conjecture and associated with bounded \(J\)-matrix. The convergence of diagonal Padé approximants to functions which have bounded \(J\)-matrix is proved.
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Padé approximants
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Baker-Gammel-Wills conjecture
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Spurious poles
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0.8952811
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0.86701024
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0.86441267
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0.86417294
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0.8618413
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0.8573799
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0.8541865
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0.85172814
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