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Numerical Functional Analysis and Optimization Volume 15, 1994 - Issue 1-2
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Original Articles

Error estimates for tikhonov regularization in hilbert scales

Torsten Schröter Fachbereich Mathematik, Universitat Chemnitz-Zwickau, 09009 Chemnitz, PSF 964, Germany
&
Ulrich Tautenhahn Fachbereich Mathematik, Universitat Chemnitz-Zwickau, 09009 Chemnitz, PSF 964, Germany
Pages 155-168 | Received 23 Jul 1993, Accepted 28 Sep 1993, Published online: 15 May 2007

Citations (16)

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Jaan Janno & Ulrich Tautenhahn. (2003) On Lavrentiev Regularization for Ill-Posed Problems in Hilbert Scales. Numerical Functional Analysis and Optimization 24:5-6, pages 531-555.
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Articles from other publishers (15)

Chitra MEKOTH, Santhosh GEORGE & Jidesh P. (2023) Finite dimensional realization of a parameter choice strategy for fractional Tikhonov regularization method in Hilbert scales. Hacettepe Journal of Mathematics and Statistics 52:3, pages 729-752.
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Chitra Mekoth, Santhosh George, P. Jidesh & Shobha M. Erappa. (2022) Finite dimensional realization of fractional Tikhonov regularization method in Hilbert scales. Partial Differential Equations in Applied Mathematics 5, pages 100246.
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Gisela L Mazzieri & Ruben D Spies. (2012) Regularization methods for ill-posed problems in multiple Hilbert scales. Inverse Problems 28:5, pages 055005.
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Qinian Jin & Ulrich Tautenhahn. (2011) Implicit iteration methods in Hilbert scales under general smoothness conditions. Inverse Problems 27:4, pages 045012.
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S. Lu, S.V. Pereverzev, Y. Shao & U. Tautenhahn. (2010) On the generalized discrepancy principle for Tikhonov regularization in Hilbert scales. Journal of Integral Equations and Applications 22:3.
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Kung-Shan Cheng, Mark W. Dewhirst, Paul F. Stauffer & Shiva Das. (2010) Mathematical formulation and analysis of the nonlinear system reconstruction of the online image-guided adaptive control of hyperthermia. Medical Physics 37:3, pages 980-994.
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Shuai Lu, Sergei V. Pereverzev, Yuanyuan Shao & Ulrich Tautenhahn. (2010) Discrepancy curves for multi-parameter regularization. Journal of Inverse and Ill-posed Problems 18:6.
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S S Pereverzyev, R Pinnau & N Siedow. (2006) Regularized fixed-point iterations for nonlinear inverse problems. Inverse Problems 22:1, pages 1-22.
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Ulrich Tautenhahn. (1998) On a general regularization scheme for nonlinear ill-posed problems: II. Regularization in Hilbert scales. Inverse Problems 14:6, pages 1607-1616.
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Ulrich Tautenhahn. (1997) On a general regularization scheme for nonlinear ill-posed problems. Inverse Problems 13:5, pages 1427-1437.
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Santhosh George & M. Thamban nair. (1997) Error bounds and parameter choice strategies for simplified regularization in Hilbert scales. Integral Equations and Operator Theory 29:2, pages 231-242.
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Ulrich Tautenhahn. (1996) Error Estimates for Regularization Methods in Hilbert Scales. SIAM Journal on Numerical Analysis 33:6, pages 2120-2130.
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Huang Sixun. (2014) Inversion and III-Posed Problem Solutions in Atmospheric Remote Sensing. Advances in Atmospheric Sciences 13:4, pages 489-504.
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U Tautenhahn. (1994) On the asymptotical regularization of nonlinear ill-posed problems. Inverse Problems 10:6, pages 1405-1418.
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U Tautenhahn. (1994) Error estimates for regularized solutions of non-linear ill-posed problems. Inverse Problems 10:2, pages 485-500.
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