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On the complexity of computing error bounds - MaRDI portal

On the complexity of computing error bounds (Q5944040)

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scientific article; zbMATH DE number 1649118
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On the complexity of computing error bounds
scientific article; zbMATH DE number 1649118

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    On the complexity of computing error bounds (English)
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    5 November 2002
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    The authors study the cost of estimating the norm of an inverse matrix. They conjecture that finding even a coarse error bound is as costly as that of matrix inversion itself. Conversely, any fast condition estimate must sometimes mis-estimate by a sizable amount, specified quantitatively in the paper.
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    inverse matrix
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    norm estimate
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    complexity
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    condition number
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    error bound
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    matrix inversion
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