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Polynomial Bézoutian matrix with respect to a general basis - MaRDI portal

Polynomial Bézoutian matrix with respect to a general basis (Q5943034)

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scientific article; zbMATH DE number 1642122
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Polynomial Bézoutian matrix with respect to a general basis
scientific article; zbMATH DE number 1642122

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    Polynomial Bézoutian matrix with respect to a general basis (English)
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    9 September 2001
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    The author introduces a class of so-called polynomial Bézoutian matrices. The operator representation relative to a pair of dual bases and the generalized Barnett factorization formula for this kind of matrices are derived. An intertwining relation and generalized Bézoutian reduction via polynomial Vandermonde matrices are presented.
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    polynomial Bézoutian matrices
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    dual bases
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    Barnett factorization formula
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    Bézoutian reduction
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    polynomial Vandermonde matrices
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