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Mathematical Modelling and Analysis Volume 14, 2009 - Issue 1
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Original Articles

On numerical realization of quasioptimal parameter choices in (iterated) Tikhonov and Lavrentiev regularization

T. Raus Institute of Mathematics, University of Tartu, J. Liivi 2, Tartu, 50409 E-mail: [email protected]
&
U. Hämarik Institute of Mathematics, University of Tartu, J. Liivi 2, Tartu, 50409 E-mail: [email protected]
Pages 99-108 | Received 03 Oct 2008, Published online: 14 Oct 2010

Citations (10)

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Read on this site (4)

U. Hämarik, R. Palm & T. Raus. (2010) Extrapolation of Tikhonov regularization method. Mathematical Modelling and Analysis 15:1, pages 55-68.
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U. Hämarik & T. Raus. (2009) About the Balancing Principle for Choice of the Regularization Parameter. Numerical Functional Analysis and Optimization 30:9-10, pages 951-970.
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U. Hämarik, R. Palm & T. Raus. (2009) On Minimization Strategies for Choice of the Regularization Parameter in Ill-Posed Problems. Numerical Functional Analysis and Optimization 30:9-10, pages 924-950.
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T. Raus & U. Hämarik. (2009) New rule for choice of the regularization parameter in (iterated) tikhonov method. Mathematical Modelling and Analysis 14:2, pages 187-198.
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Articles from other publishers (6)

Bamrung Tausiesakul & Krissada Asavaskulkiet. (2023) Fractional norm regularization using inverse perturbation. Mechanical Systems and Signal Processing 199, pages 110459.
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Toomas Raus & Uno Hämarik. (2020) Q-Curve and Area Rules for Choosing Heuristic Parameter in Tikhonov Regularization. Mathematics 8:7, pages 1166.
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Toomas Raus & Uno Hämarik. 2018. New Trends in Parameter Identification for Mathematical Models. New Trends in Parameter Identification for Mathematical Models 227 244 .
Uno Hämarik. On comparison of accuracy of approximate solutions of operator equations with noisy data. On comparison of accuracy of approximate solutions of operator equations with noisy data.
Uno Hämarik, Reimo Palm & Toomas Raus. (2012) A family of rules for parameter choice in Tikhonov regularization of ill-posed problems with inexact noise level. Journal of Computational and Applied Mathematics 236:8, pages 2146-2157.
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Toomas Raus & Uno Hämarik. (2011) On the quasi-optimal rules for the choice of the regularization parameter in case of a noisy operator. Advances in Computational Mathematics 36:2, pages 221-233.
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