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On the quadratic two-parameter eigenvalue problem and its linearization - MaRDI portal

On the quadratic two-parameter eigenvalue problem and its linearization (Q962084)

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scientific article; zbMATH DE number 5689420
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On the quadratic two-parameter eigenvalue problem and its linearization
scientific article; zbMATH DE number 5689420

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    On the quadratic two-parameter eigenvalue problem and its linearization (English)
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    6 April 2010
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    The authors show that the eigenvalues of a quadratic two-parameter eigenvalue problem are exactly the regular eigenvalues of a coupled generalized eigenvalue problem. In order to compute them, they also derive an algorithm based on the staircase method.
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    two-parameter quadratic eigenvalue problem
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    singular two-parameter eigenvalue problem
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    model updating
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    linearisation
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    Kronecker canonical form
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    generalized eigenvalue problem
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    algorithm
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    staircase method
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