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.
Publisher:	Berlin : Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes
Subject:	regularizations \| smoothing \| Ill-posed problems \| efficiency

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Series:	SFB 373 Discussion Paper ; 1997,57
Type of publication:	Book / Working Paper
Type of publication (narrower categories):	Working Paper
Language:	English
Other identifiers:	729522814 [GVK] hdl:10419/66237 [Handle] RePEc:zbw:sfb373:199757 [RePEc]
Source:	EconStor

Persistent link: https://www.econbiz.de/10010310755