Ill-posed inverse problems and their optimal regularization

The regularization of ill-posed systems of equations is carried out by corrections of the data or the operator. It is shown how the efficiency of regularizations can be calculated by statistical decision principles. The efficiency of nonlinear regularizations depends on the distribution of the admitted disturbances of the data. For the class of linear regularizations optimal corrections are given.

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Year of publication:	1997
Authors:	Läuter, Henning ; Liero, H.
Institutions:	Sonderforschungsbereich 373, Quantifikation und Simulation ökonomischer Prozesse, Wirtschaftswissenschaftliche Fakultät
Subject:	regularizations \| smoothing \| Ill-posed problems \| efficiency

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Extent:	application/pdf
Series:	SFB 373 Discussion Papers.
Type of publication:	Book / Working Paper
Notes:	Number 1997,57
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010983821