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Smirnova, Alexandra; Martcheva, Maia; Liu, Hui On generalized cross validation for stable parameter selection in disease models. (English) Zbl 1323.47086 J. Inverse Ill-Posed Probl. 23, No. 5, 451-464 (2015). MSC: 47N60 47A52 65F22 92C60 92D30 PDFBibTeX XMLCite \textit{A. Smirnova} et al., J. Inverse Ill-Posed Probl. 23, No. 5, 451--464 (2015; Zbl 1323.47086) Full Text: DOI
Kindermann, Stefan Discretization independent convergence rates for noise level-free parameter choice rules for the regularization of ill-conditioned problems. (English) Zbl 1288.65085 ETNA, Electron. Trans. Numer. Anal. 40, 58-81 (2013). MSC: 65J20 65J10 47A52 PDFBibTeX XMLCite \textit{S. Kindermann}, ETNA, Electron. Trans. Numer. Anal. 40, 58--81 (2013; Zbl 1288.65085) Full Text: EMIS
Lukas, Mark A. Robust GCV choice of the regularization parameter for correlated data. (English) Zbl 1217.65097 J. Integral Equations Appl. 22, No. 3, 519-547 (2010). Reviewer: Carlos A. De Moura (Rio de Janeiro) MSC: 65J10 65J20 65J22 47A52 65R30 45B05 PDFBibTeX XMLCite \textit{M. A. Lukas}, J. Integral Equations Appl. 22, No. 3, 519--547 (2010; Zbl 1217.65097) Full Text: DOI
Hansen, Per Christian Discrete inverse problems. Insight and algorithms. (English) Zbl 1197.65054 Fundamentals of Algorithms 7. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-0-898716-96-2/pbk; 978-0-89871-883-6/ebook). xii, 213 p. (2010). Reviewer: Robert Plato (Siegen) MSC: 65J10 65-02 45B05 47A52 65F22 65J20 65J22 65R30 65R32 PDFBibTeX XMLCite \textit{P. C. Hansen}, Discrete inverse problems. Insight and algorithms. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2010; Zbl 1197.65054) Full Text: DOI
Serra-Capizzano, Stefano; Sundqvist, Per Stability of the notion of approximating class of sequences and applications. (English) Zbl 1186.40006 J. Comput. Appl. Math. 219, No. 2, 518-536 (2008). MSC: 40C05 47B35 PDFBibTeX XMLCite \textit{S. Serra-Capizzano} and \textit{P. Sundqvist}, J. Comput. Appl. Math. 219, No. 2, 518--536 (2008; Zbl 1186.40006) Full Text: DOI
O’Leary, Dianne P. Near-optimal parameters for Tikhonov and other regularization methods. (English) Zbl 1015.65025 SIAM J. Sci. Comput. 23, No. 4, 1161-1171 (2001). Reviewer: C.W.Groetsch (Cincinnati) MSC: 65J10 65J20 47A52 PDFBibTeX XMLCite \textit{D. P. O'Leary}, SIAM J. Sci. Comput. 23, No. 4, 1161--1171 (2001; Zbl 1015.65025) Full Text: DOI
Lukas, Mark A. Comparisons of parameter choice methods for regularization with discrete noisy data. (English) Zbl 0904.65053 Inverse Probl. 14, No. 1, 161-184 (1998). Reviewer: Gabriel Dimitriu (Iaşi) MSC: 65J10 47A50 45B05 65J20 65R20 65R30 PDFBibTeX XMLCite \textit{M. A. Lukas}, Inverse Probl. 14, No. 1, 161--184 (1998; Zbl 0904.65053) Full Text: DOI
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Lukas, Mark A. Methods for choosing the regularization parameter. (English) Zbl 0784.65054 Pani, Amiya K. (ed.) et al., Mini-conference on inverse problems in partial differential equations, Canberra, A.C.T., Australia, August 23-25, 1990. Canberra: Centre for Mathematics and its Applications, Australian National University. Proc. Cent. Math. Appl. Aust. Natl. Univ. 31, 89-110 (1992). MSC: 65J10 65J20 65R30 65R20 47A50 45B05 PDFBibTeX XMLCite \textit{M. A. Lukas}, Proc. Cent. Math. Appl. Aust. Natl. Univ. 31, 89--110 (1992; Zbl 0784.65054)
Iqbal, M. Comparison of methods for solving ill-posed problems in the form of Fredholm integral equations of the first kind, with and without non- negativity constraints. (English) Zbl 0679.65097 J. Math., Punjab Univ. 21, 29-59 (1988). Reviewer: J.T.Marti MSC: 65R20 65J10 45B05 45E10 47A50 PDFBibTeX XMLCite \textit{M. Iqbal}, J. Math., Punjab Univ. 21, 29--59 (1988; Zbl 0679.65097)
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Groetsch, C. W. The theory of Tikhonov regularization for Fredholm equations of the first kind. (English) Zbl 0545.65034 Research Notes in Mathematics, 105. Boston - London - Melbourne: Pitman Advanced Publishing Program. VII, 104 p. £7.95 (1984). Reviewer: J.T.Marti MSC: 65J10 65-02 65R20 47A50 45B05 PDFBibTeX XML
Wahba, Grace Constrained regularization for ill posed linear operator equations, with applications in meteorology and medicine. (English) Zbl 0583.62066 Statistical decision theory and related topics III, Proc. 3rd Purdue Symp., West Lafayette/Indiana 1981, Vol. 2, 383-418 (1982). MSC: 62J07 62P99 65C99 47A62 PDFBibTeX XML