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A Counterexample to the Possibility of an Extension of the Eckart--Young Low-Rank Approximation Theorem for the Orthogonal Rank Tensor Decomposition - MaRDI portal

A Counterexample to the Possibility of an Extension of the Eckart--Young Low-Rank Approximation Theorem for the Orthogonal Rank Tensor Decomposition (Q4443771)

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scientific article; zbMATH DE number 2027924
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A Counterexample to the Possibility of an Extension of the Eckart--Young Low-Rank Approximation Theorem for the Orthogonal Rank Tensor Decomposition
scientific article; zbMATH DE number 2027924

    Statements

    A Counterexample to the Possibility of an Extension of the Eckart--Young Low-Rank Approximation Theorem for the Orthogonal Rank Tensor Decomposition (English)
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    18 January 2004
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    singular value decomposition
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    principal components analysis
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    multidimensional arrays
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    higher-order tensor
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    multilinear algebra
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    orthogonal rank decomposition
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    best rank-\(k\) approximation
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    counter example
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    Eckart-Young theorem
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