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Quasiseparable structures of companion pencils under the \(QZ\)-algorithm - MaRDI portal

Quasiseparable structures of companion pencils under the \(QZ\)-algorithm (Q862040)

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scientific article; zbMATH DE number 5121605
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Quasiseparable structures of companion pencils under the \(QZ\)-algorithm
scientific article; zbMATH DE number 5121605

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    Quasiseparable structures of companion pencils under the \(QZ\)-algorithm (English)
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    2 February 2007
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    The author considers the computation of the roots of a univariate polynomial by solving a generalized eigenvalue problem for the companion pencil. The main result of the paper is the following: It is shown that the single-shift \(QZ\)-algorithm preserves the quasi-separable structure of a companion pencil.
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