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Journal of Mathematical Analysis and Applications
Article . 2005
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Article . 2004
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A new discrepancy principle

Authors: Ramm, A. G.;

A new discrepancy principle

Abstract

The aim of this note is to prove a new discrepancy principle. The advantage of the new discrepancy principle compared with the known one consists of solving a minimization problem approximately, rather than exactly, and in the proof of a stability result.

Related Organizations
Keywords

47H15, 45G10,35B25, Numerical solutions of ill-posed problems in abstract spaces; regularization, Linear operators and ill-posed problems, regularization, Applied Mathematics, discrepancy principle, Hilbert space, Numerical Analysis (math.NA), minimal-norm solution, ill-posed problems, Numerical solutions to equations with linear operators, FOS: Mathematics, Mathematics - Numerical Analysis, Analysis

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Top 10%
Average
Green
hybrid