Optimization aspects of the generalized discrepancy principle in regularization

DOI10.1080/02331938608843135zbMath0592.65021OpenAlexW2043906406MaRDI QIDQ3721688

Bernd Hofmann

Publication date: 1986

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331938608843135

zbMATH Keywords

discrepancy principleLagrange multiplier methodTikhonov's regularization methodnegative regularization parameters

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Numerical mathematical programming methods (65K05)

Related Items (5)

On the generalized discrepancy principle for Tikhonov regularization in Hilbert scales ⋮ Variational regularisation for inverse problems with imperfect forward operators and general noise models ⋮ A new \textit{a posteriori} parameter choice strategy for the convolution regularization of the space-fractional backward diffusion problem ⋮ Convolution regularization method for backward problems of linear parabolic equations ⋮ A predictor-corrector technique for constrained least-squares regularization

Cites Work

• A predictor-corrector technique for constrained least-squares regularization
• Generalized ridge regression: a note on negative ridge parameters
• On the quasi-sohition of overdetermined til-conditioned systems of linear equations and its realization by means of parametric linear programming
• Statistische Methoden der Modellbildung, II
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