Hybrid norms and bounds for overdetermined linear systems (Q1805230)
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scientific article; zbMATH DE number 753895
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hybrid norms and bounds for overdetermined linear systems |
scientific article; zbMATH DE number 753895 |
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Hybrid norms and bounds for overdetermined linear systems (English)
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13 November 1995
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The paper deals with the problem of determination of hybrid norms and bounds for an overdetermined linear system. The quality of a least squares solution of the problem is assessing, assuming that the bounds for the errors are known. The solution of the problem is given for the case of rigorous componentwise error bounds. The exact solution for a perturbed system with known bounds on the perturbations is given, when this perturbed system is assumed to be consistent. The sparse case is discussed, too.
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hybrid norms
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overdetermined linear system
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least squares solution
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error bounds
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