On estimating the least singular value of a matrix (Q921862)
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scientific article; zbMATH DE number 4166709
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On estimating the least singular value of a matrix |
scientific article; zbMATH DE number 4166709 |
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On estimating the least singular value of a matrix (English)
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1990
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The author presents an upper bound for the least singular value of a given triangular matrix with non-negative diagonal entries in terms of the sensitivity of its QR factorization to given perturbations. For a special perturbation, only \(O(n^ 2)\) flops are needed to evaluate the bound.
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least singular value
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triangular matrix
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QR factorization
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perturbation
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