Perturbation theory for simultaneous bases of singular subspaces (Q1599136)

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scientific article; zbMATH DE number 1749885
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Perturbation theory for simultaneous bases of singular subspaces
scientific article; zbMATH DE number 1749885

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    Perturbation theory for simultaneous bases of singular subspaces (English)
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    8 January 2003
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    Perturbation theorems are proved for simultaneous bases of singular subspaces of real matrices. The new bounds are valid to any unitarily invariant matrix norm. The bounds are complemented with numerical experiments which show their relevance for the algorithms computing the singular value decomposition.
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    singular value decomposition
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    perturbation bounds
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    singular subspaces
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    numerical experiments
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    algorithms
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