Least squares residuals and minimal residual methods (Q2780591)
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scientific article; zbMATH DE number 1729203
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Least squares residuals and minimal residual methods |
scientific article; zbMATH DE number 1729203 |
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15 April 2002
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numerical stability
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orthogonalization
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Krylov subspace methods
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minimal residual methods
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GMRES
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convergence
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rounding errors
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least squares residuals
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0.8910832
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0.8902273
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0.8878248
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Least squares residuals and minimal residual methods (English)
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Minimal residual methods for solving linear systems can be formulated and implemented using different orthogonalization processes. Using general theoretical results about the least squares residual, this paper shows that the choice of the basis is fundamental for getting a numerically stable implementation. It is explained that using the best orthogonalization technique in building the basis does not compensate for the possible loss of accuracy in a given method which is related to the choice of the basis.
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