GMRES, L-curves, and discrete ill-posed problems (Q1599134)
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scientific article; zbMATH DE number 1749883
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | GMRES, L-curves, and discrete ill-posed problems |
scientific article; zbMATH DE number 1749883 |
Statements
GMRES, L-curves, and discrete ill-posed problems (English)
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8 January 2003
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The application of the generalized minimal residual (GMRES) method is discussed for solving large systems of linear equations that arise from the discretization of linear ill-posed problems. The situation is considered when the right-hand side vector is contaminated by measurement errors. For the GMRES method a termination criterion is given based on the condition number of the projected matrices defined by the GMRES method. Application to image restoration shows the success.
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GMRES method
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ill-posed problem
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L-curve
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regularization
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generalized minimal residual method
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image restoration
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