On optimal backward perturbation bounds for the linear least squares problem (Q678224)
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scientific article; zbMATH DE number 1000370
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On optimal backward perturbation bounds for the linear least squares problem |
scientific article; zbMATH DE number 1000370 |
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On optimal backward perturbation bounds for the linear least squares problem (English)
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16 April 1997
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The paper considers the linear least squares problem \(\min_x |b-Ax |_2\), where \(A\) is an \(m\times n\) matrix \((m>n)\) and \(b\) is an \(m\)-dimensional vector. It is shown that \(\inf|F|_2\) on the set of the solutions and that on the minimum 2-norm solutions to \(\min_x |b- (A+F)x |_2\) are identical.
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backward perturbation
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linear least squares problem
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