Minimal distance upper bounds for the perturbation of least squares problems in Hilbert spaces (Q1861771)
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scientific article; zbMATH DE number 1878859
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Minimal distance upper bounds for the perturbation of least squares problems in Hilbert spaces |
scientific article; zbMATH DE number 1878859 |
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Minimal distance upper bounds for the perturbation of least squares problems in Hilbert spaces (English)
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10 March 2003
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Let \(X\) and \(Y\) be Hilbert spaces and \(T:X\rightarrow Y\) be a bounded linear Fredholm operator, \(y\in Y\) be fixed. The author presents an optimal perturbation result for the least squares problem \(\|Tx-y\|=\min_{z\in X }\|Tz-y\|\).
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Hilbert space
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least squares solution
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generalized inverses
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