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Applicable Analysis
An International Journal
Volume 87, 2008 - Issue 2
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Research Article

Regularization by projection in variable Hilbert scales

Peter Mathé Weierstrass Institute for Applied Analysis and Stochastics, Mohrenstrasse 39, D-10117, Berlin, GermanyCorrespondence[email protected]
&
Nadine Schöne Free University Berlin, Arnimallee 14, D-14195, Berlin, Germany
Pages 201-219 | Received 18 Jul 2007, Accepted 02 Dec 2007, Published online: 26 Feb 2008

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Read on this site (2)

Teresa Regińska. (2017) Discrepancy Sets for Combined Least Squares Projection and Tikhonov Regularization. Mathematical Modelling and Analysis 22:2, pages 202-212.
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Alina Ganina, Uno Hämarik & Urve Kangro. (2014) On the Self-Regularization of Ill-Posed Problems by the Least Error Projection Method. Mathematical Modelling and Analysis 19:3, pages 299-308.
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Articles from other publishers (8)

Sergios Agapiou & Peter Mathé. (2022) Designing truncated priors for direct and inverse Bayesian problems. Electronic Journal of Statistics 16:1.
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Bechouat Tahar, Boussetila Nadjib & Rebbani Faouzia. (2020) A Variant of Projection-Regularization Method for Ill-Posed Linear Operator Equations. International Journal of Computational Methods 18:04, pages 2150008.
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Uno Hämarik & Urve Kangro. 2018. New Trends in Parameter Identification for Mathematical Models. New Trends in Parameter Identification for Mathematical Models 89 105 .
Uno Hämarik, Barbara Kaltenbacher, Urve Kangro & Elena Resmerita. (2016) Regularization by discretization in Banach spaces. Inverse Problems 32:3, pages 035004.
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C. Marteau & P. Mathé. (2014) General regularization schemes for signal detection in inverse problems. Mathematical Methods of Statistics 23:3, pages 176-200.
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Barbara Kaltenbacher & Jonas Offtermatt. (2012) A convergence analysis of regularization by discretization in preimage space. Mathematics of Computation 81:280, pages 2049-2069.
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Markus Hegland. (2010) Error bounds for spectral enhancement which are based on variable Hilbert scale inequalities. Journal of Integral Equations and Applications 22:2.
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B. Hofmann, P. Mathé & M. Schieck. (2008) Modulus of continuity for conditionally stable ill-posed problems in Hilbert space. Journal of Inverse and Ill-posed Problems 16:6.
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