The principle of extrapolation and the Cayley transform (Q952039)
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scientific article; zbMATH DE number 5362055
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The principle of extrapolation and the Cayley transform |
scientific article; zbMATH DE number 5362055 |
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The principle of extrapolation and the Cayley transform (English)
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6 November 2008
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By applying the principle of extrapolation to the Cayley transform \(F(A)=(I+A)^{-1} (I-A)\), the authors generalize it to the extrapolated Cayley transform \(F(\omega A) = (I+\omega A)^{-1} (I - \omega A)\). Then, they determine in an optimal sense the extrapolation parameter involved so that the problems in many practical applications are solved much more efficiently.
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Cayley transform
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extrapolation
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positive stable matrices
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Möbius transformations
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convex hull
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capturing circle
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