Kerkri, Abdelmounaim; Allal, Jelloul; Zarrouk, Zoubir The L-curve criterion as a model selection tool in PLS regression. (English) Zbl 1437.62248 J. Probab. Stat. 2019, Article ID 3129769, 7 p. (2019). MSC: 62J02 62J15 62-08 PDFBibTeX XMLCite \textit{A. Kerkri} et al., J. Probab. Stat. 2019, Article ID 3129769, 7 p. (2019; Zbl 1437.62248) Full Text: DOI
Gockenbach, Mark S. Linear inverse problems and Tikhonov regularization. (English) Zbl 1367.65085 The Carus Mathematical Monographs 32. Washington, DC: Mathematical Association of America (MAA) (ISBN 978-0-88385-141-8/hbk; 978-1-61444-029-1/ebook). xiii, 321 p. (2016). Reviewer: Robert Plato (Siegen) MSC: 65J22 65-01 44A12 47A52 65F22 65J20 65L08 65L09 65R30 65R32 65J10 65R10 45B05 45A05 92C55 PDFBibTeX XMLCite \textit{M. S. Gockenbach}, Linear inverse problems and Tikhonov regularization. Washington, DC: Mathematical Association of America (MAA) (2016; Zbl 1367.65085)
Gazzola, Silvia; Novati, Paolo; Russo, Maria Rosaria On Krylov projection methods and Tikhonov regularization. (English) Zbl 1312.65065 ETNA, Electron. Trans. Numer. Anal. 44, 83-123 (2015). MSC: 65F22 65F10 PDFBibTeX XMLCite \textit{S. Gazzola} et al., ETNA, Electron. Trans. Numer. Anal. 44, 83--123 (2015; Zbl 1312.65065) Full Text: EMIS
Bouhamidi, A.; Jbilou, K.; Reichel, L.; Sadok, H. A generalized global Arnoldi method for ill-posed matrix equations. (English) Zbl 1254.65050 J. Comput. Appl. Math. 236, No. 8, 2078-2089 (2012). Reviewer: Martin Reißel (Aachen) MSC: 65F22 15A24 65F30 PDFBibTeX XMLCite \textit{A. Bouhamidi} et al., J. Comput. Appl. Math. 236, No. 8, 2078--2089 (2012; Zbl 1254.65050) Full Text: DOI
Yang, F. L.; Ling, Leevan; Wei, T. An adaptive greedy technique for inverse boundary determination problem. (English) Zbl 1201.65186 J. Comput. Phys. 229, No. 22, 8484-8496 (2010). MSC: 65M80 65M32 35J05 35R30 PDFBibTeX XMLCite \textit{F. L. Yang} et al., J. Comput. Phys. 229, No. 22, 8484--8496 (2010; Zbl 1201.65186) Full Text: DOI
Leem, Koung Hee; Pelekanos, George; Viloche Bazán, Fermín S. Fixed-point iterations in determining a Tikhonov regularization parameter in Kirsch’s factorization method. (English) Zbl 1197.78036 Appl. Math. Comput. 216, No. 12, 3747-3753 (2010). MSC: 78A46 65F22 PDFBibTeX XMLCite \textit{K. H. Leem} et al., Appl. Math. Comput. 216, No. 12, 3747--3753 (2010; Zbl 1197.78036) 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
Jin, Bangti; Zou, Jun Augmented Tikhonov regularization. (English) Zbl 1163.65020 Inverse Probl. 25, No. 2, Article ID 025001, 25 p. (2009). Reviewer: Constantin Popa (Constanţa) MSC: 65F22 PDFBibTeX XMLCite \textit{B. Jin} and \textit{J. Zou}, Inverse Probl. 25, No. 2, Article ID 025001, 25 p. (2009; Zbl 1163.65020) Full Text: DOI Link
Reichel, Lothar; Sadok, Hassane A new \(L\)-curve for ill-posed problems. (English) Zbl 1145.65035 J. Comput. Appl. Math. 219, No. 2, 493-508 (2008). MSC: 65J10 47A50 65J20 45B05 65R20 PDFBibTeX XMLCite \textit{L. Reichel} and \textit{H. Sadok}, J. Comput. Appl. Math. 219, No. 2, 493--508 (2008; Zbl 1145.65035) Full Text: DOI
Dong, C. F.; Sun, F. Y.; Meng, B. Q. A method of fundamental solutions for inverse heat conduction problems in an anisotropic medium. (English) Zbl 1195.80036 Eng. Anal. Bound. Elem. 31, No. 1, 75-82 (2007). MSC: 80M25 80A23 80A20 65M80 PDFBibTeX XMLCite \textit{C. F. Dong} et al., Eng. Anal. Bound. Elem. 31, No. 1, 75--82 (2007; Zbl 1195.80036) Full Text: DOI
Dong, Chaofeng; Sun, Fangyu Method of fundamental solutions to backward heat conduction problem in an anisotropic medium. (Chinese. English summary) Zbl 1174.65480 J. Zhejiang Univ., Sci. Ed. 34, No. 1, 33-39 (2007). MSC: 65M32 65M70 35K05 35R30 PDFBibTeX XMLCite \textit{C. Dong} and \textit{F. Sun}, J. Zhejiang Univ., Sci. Ed. 34, No. 1, 33--39 (2007; Zbl 1174.65480)
Hansen, Per Christian; Jensen, Toke Koldborg; Rodriguez, Giuseppe An adaptive pruning algorithm for the discrete L-curve criterion. (English) Zbl 1101.65044 J. Comput. Appl. Math. 198, No. 2, 483-492 (2007). MSC: 65F22 65F20 PDFBibTeX XMLCite \textit{P. C. Hansen} et al., J. Comput. Appl. Math. 198, No. 2, 483--492 (2007; Zbl 1101.65044) Full Text: DOI
Morigi, S.; Reichel, L.; Sgallari, F.; Zama, F. Iterative methods for ill-posed problems and semiconvergent sequences. (English) Zbl 1092.65025 J. Comput. Appl. Math. 193, No. 1, 157-167 (2006). MSC: 65F10 65F22 PDFBibTeX XMLCite \textit{S. Morigi} et al., J. Comput. Appl. Math. 193, No. 1, 157--167 (2006; Zbl 1092.65025) Full Text: DOI
Marin, L.; Lesnic, D. BEM first-order regularisation method in linear elasticity for boundary identification. (English) Zbl 1041.74075 Comput. Methods Appl. Mech. Eng. 192, No. 16-18, 2059-2071 (2003). MSC: 74S15 74B05 74G75 PDFBibTeX XMLCite \textit{L. Marin} and \textit{D. Lesnic}, Comput. Methods Appl. Mech. Eng. 192, No. 16--18, 2059--2071 (2003; Zbl 1041.74075) Full Text: DOI
Morigi, S.; Sgallari, F. A regularizing L-curve Lanczos method for underdetermined linear systems. (English) Zbl 1024.65035 Appl. Math. Comput. 121, No. 1, 55-73 (2001). MSC: 65F22 65F10 PDFBibTeX XMLCite \textit{S. Morigi} and \textit{F. Sgallari}, Appl. Math. Comput. 121, No. 1, 55--73 (2001; Zbl 1024.65035) Full Text: DOI
Braga, J. P. Numerical comparison between Tikhonov regularization and singular value decomposition methods using the L curve criterion. (English) Zbl 1005.65145 J. Math. Chem. 29, No. 2, 151-161 (2001). Reviewer: Nikolay Yakovlevich Tikhonenko (Odessa) MSC: 65R20 65R30 45B05 PDFBibTeX XMLCite \textit{J. P. Braga}, J. Math. Chem. 29, No. 2, 151--161 (2001; Zbl 1005.65145) Full Text: DOI
Zeb, A.; Elliott, L.; Ingham, D. B.; Lesnic, D. Boundary element two-dimensional solution of an inverse Stokes problem. (English) Zbl 0965.76057 Eng. Anal. Bound. Elem. 24, No. 1, 75-88 (2000). MSC: 76M15 76D07 PDFBibTeX XMLCite \textit{A. Zeb} et al., Eng. Anal. Bound. Elem. 24, No. 1, 75--88 (2000; Zbl 0965.76057) Full Text: DOI
Regińska, Teresa A regularization parameter in discrete ill-posed problems. (English) Zbl 0865.65023 SIAM J. Sci. Comput. 17, No. 3, 740-749 (1996). Reviewer: M.Z.Nashed (Newark/Delaware) MSC: 65F20 PDFBibTeX XMLCite \textit{T. Regińska}, SIAM J. Sci. Comput. 17, No. 3, 740--749 (1996; Zbl 0865.65023) Full Text: DOI
Hanke, Martin Limitations of the \(L\)-curve method in ill-posed problems. (English) Zbl 0849.65039 BIT 36, No. 2, 287-301 (1996). Reviewer: S.F.McCormick (Boulder) MSC: 65J10 65J20 47A50 PDFBibTeX XMLCite \textit{M. Hanke}, BIT 36, No. 2, 287--301 (1996; Zbl 0849.65039) Full Text: DOI
Engl, Heinz W.; Grever, Wilhelm Using the \(L\)-curve for determining optimal regularization parameters. (English) Zbl 0819.65090 Numer. Math. 69, No. 1, 25-31 (1994). Reviewer: C.W.Groetsch (Cincinnati) MSC: 65J10 47A50 65J20 PDFBibTeX XMLCite \textit{H. W. Engl} and \textit{W. Grever}, Numer. Math. 69, No. 1, 25--31 (1994; Zbl 0819.65090) Full Text: DOI
Hansen, Per Christian Analysis of discrete ill-posed problems by means of the L-curve. (English) Zbl 0770.65026 SIAM Rev. 34, No. 4, 561-580 (1992). Reviewer: Martin Hanke MSC: 65F20 65F30 PDFBibTeX XMLCite \textit{P. C. Hansen}, SIAM Rev. 34, No. 4, 561--580 (1992; Zbl 0770.65026) Full Text: DOI