A general framework for regularized evaluation of unstable operators (Q1815455)

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scientific article; zbMATH DE number 944364
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A general framework for regularized evaluation of unstable operators
scientific article; zbMATH DE number 944364

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    A general framework for regularized evaluation of unstable operators (English)
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    9 December 1996
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    Regularized methods are tools to approximate solutions of ill-posed inverse problems with operators which lack continuous (generalized) inverses. In the present paper a general approach is developed for stable evaluation of unbounded operators when the data are corrupted by error. The main idea is to recast the direct problem of evaluating the unstable operator as an inverse problem involving an associated bounded operator.
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    unstable operators
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    regularization methods
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    ill-posed inverse problems
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    stable evaluation of unbounded operators when the data are corrupted by error
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    direct problem
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