Adaptive optimal algorithms for ill-posed problems with sourcewise represented solutions (Q1395286)

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scientific article; zbMATH DE number 1940654
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Adaptive optimal algorithms for ill-posed problems with sourcewise represented solutions
scientific article; zbMATH DE number 1940654

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    Adaptive optimal algorithms for ill-posed problems with sourcewise represented solutions (English)
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    1 July 2003
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    This paper is devoted to new special regularizing algorithms for solving linear ill-posed problems. The algorithms take into account additional a priori information on the sourcewise representation of solutions and provide a stable estimate for the unknown sourcewise representation parameter. The methods are easy to implement numerically. These properties of the algorithms are illustrated by numerical results.
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    Hilbert space
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    algorithms
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    linear ill-posed problems
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    regularization
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    numerical results
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