Numerical solution of incorrectly posed problems on sets of piecewise- monotonic and convex functions (Q1082779)
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scientific article; zbMATH DE number 3974188
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Numerical solution of incorrectly posed problems on sets of piecewise- monotonic and convex functions |
scientific article; zbMATH DE number 3974188 |
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Numerical solution of incorrectly posed problems on sets of piecewise- monotonic and convex functions (English)
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1985
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To solve incorrectly posed problems with additional information on the behavior of the exact solution, the author proposes to employ minimization of the discrepancy functional on the corresponding set. A numerical solution algorithm is proposed for the nonconvex minimization problem, based on the conjugate-gradient projection method. The effectiveness of the method is illustrated using an example.
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Tikhonov regularization
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Hilbert space
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incorrectly posed problems
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discrepancy functional
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nonconvex minimization
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conjugate-gradient projection method
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