The perturbation of consistent least squares problems (Q1112909)
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scientific article; zbMATH DE number 4079623
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The perturbation of consistent least squares problems |
scientific article; zbMATH DE number 4079623 |
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The perturbation of consistent least squares problems (English)
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1989
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This paper establishes that if \(Ax=b\) is consistent, then the minimum norm least squares solution of \((A+\delta A)x=(b+\delta b),\) \(x\delta\), is close to a solution of \(Ax=b\) for sufficiently small \(\delta\) A, \(\delta\) b. Examples of this behavior are given but the results' usefulness is not clear since \(\| x\|\) will generally be unbounded as \(\| \delta A\|\), \(\| \delta b\|\) go to zero.
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perturbation
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consistent
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minimum norm least squares solution
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