caa a22 4500 445861991 CHVBK 20180317145446.0 cr unu---uuuuu 170323e20110301xx s 000 0 eng 10.1007/s10092-010-0027-4 doi (NATIONALLICENCE)springer-10.1007/s10092-010-0027-4 Comparison of parameter choices in regularization algorithms in case of different information about noise level [Elektronische Daten] [Uno Hämarik, Reimo Palm, Toomas Raus] We consider linear ill-posed problems in Hilbert space with noisy data. The noise level may be given exactly or approximately or there may be no information about the noise level. We regularize the problem using the Landweber method, the Tikhonov method or the extrapolated version of the Tikhonov method. For all three cases of noise information we propose rules for choice of the regularization parameter. Extensive numerical experiments show the advantage of the proposed rules over known rules, including the discrepancy principle, the quasioptimality criterion, the Hanke-Raus rule, the Brezinski-Rodriguez-Seatzu rule and others. Numerical comparison also shows at which information about the noise level our rules for approximately given noise level should be preferred to otherrules. Springer-Verlag, 2010 Ill-posed problem nationallicence Noise level nationallicence Regularization nationallicence Tikhonov method nationallicence Extrapolated Tikhonov method nationallicence Landweber method nationallicence Regularization parameter choice nationallicence Hämarik Uno Faculty of Mathematics and Informatics, University of Tartu, J. Liivi 2, 50409, Tartu, Estonia aut Palm Reimo Faculty of Mathematics and Informatics, University of Tartu, J. Liivi 2, 50409, Tartu, Estonia aut Raus Toomas Faculty of Mathematics and Informatics, University of Tartu, J. Liivi 2, 50409, Tartu, Estonia aut Calcolo Springer Milan 48/1(2011-03-01), 47-59 0008-0624 48:1<47 2011 48 10092 https://doi.org/10.1007/s10092-010-0027-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10092-010-0027-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Hämarik Uno Faculty of Mathematics and Informatics, University of Tartu, J. Liivi 2, 50409, Tartu, Estonia aut NATIONALLICENCE 700 1- Palm Reimo Faculty of Mathematics and Informatics, University of Tartu, J. Liivi 2, 50409, Tartu, Estonia aut NATIONALLICENCE 700 1- Raus Toomas Faculty of Mathematics and Informatics, University of Tartu, J. Liivi 2, 50409, Tartu, Estonia aut NATIONALLICENCE 773 0- Calcolo Springer Milan 48/1(2011-03-01), 47-59 0008-0624 48:1<47 2011 48 10092 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer