A projection method for general form linear least-squares problems

Applied Mathematics Letters - Tập 145 - Trang 108780 - 2023
Federica Pes1, Giuseppe Rodriguez2
1Department of Chemistry and Industrial Chemistry, University of Pisa, Pisa, 56124, Italy
2Department of Mathematics and Computer Science, University of Cagliari, Cagliari, 09124, Italy

Tài liệu tham khảo

Golub, 1996 Pes, 2020, The minimal-norm Gauss-Newton method and some of its regularized variants, Electron. Trans. Numer. Anal., 53, 459, 10.1553/etna_vol53s459 Pes, 2022, A doubly relaxed minimal-norm Gauss–Newton method for underdetermined nonlinear least-squares problems, Appl. Numer. Math., 171, 233, 10.1016/j.apnum.2021.09.002 Baglama, 2007, Decomposition methods for large linear discrete ill-posed problems, J. Comput. Appl. Math., 198, 332, 10.1016/j.cam.2005.09.025 Morigi, 2006, A truncated projected SVD method for linear discrete ill-posed problems, Numer. Algorithms, 43, 197, 10.1007/s11075-006-9053-3 Hochstenbach, 2010, An iterative method for tikhonov regularization with a general linear regularization operator, J. Integral Equations Appl., 22, 465, 10.1216/JIE-2010-22-3-465 Park, 2018, Parameter determination for tikhonov regularization problems in general form, J. Comput. Appl. Math., 343, 12, 10.1016/j.cam.2018.04.049 Hansen, 2007, Regularization tools: version 4.0 for matlab 7.3, Numer. Algorithms, 46, 189, 10.1007/s11075-007-9136-9 Brezinski, 2008, Error estimates for linear systems with applications to regularization, Numer. Algorithms, 49, 85, 10.1007/s11075-008-9163-1 Brezinski, 2009, Error estimates for the regularization of least squares problems, Numer. Algorithms, 51, 61, 10.1007/s11075-008-9243-2 Reichel, 2013, Old and new parameter choice rules for discrete ill-posed problems, Numer. Algorithms, 63, 65, 10.1007/s11075-012-9612-8 Hansen, 1993, The use of the L-curve in the regularization of discrete ill–posed problems, SIAM J. Sci. Comput., 14, 1487, 10.1137/0914086 Hansen, 2007, An adaptive pruning algorithm for the discrete L-curve criterion, J. Comput. Appl. Math., 198, 483, 10.1016/j.cam.2005.09.026