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Article
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SIAM Journal on Numerical Analysis
Article . 1980 . Peer-reviewed
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A Note on Estimating the Optimal Regularization Parameter

A note on estimating the optimal regularization parameter
Authors: Hilgers, John W.;

A Note on Estimating the Optimal Regularization Parameter

Abstract

The behavior of a quantity which in some cases permits the approximation of the optimal regularization parameter is examined. A previously considered numerical example is shown to conform to theory.

Keywords

Hilbert spaces, linear operator equations, regularization methods, Numerical solutions to equations with linear operators, optimal regularization parameter, Equations and inequalities involving linear operators, with vector unknowns, generalized inverse, Riesz operators; eigenvalue distributions; approximation numbers, \(s\)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators, compact operators

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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!
2
Average
Top 10%
Average
bronze