lbdtik swMATH ID: 38378 Software Authors: L. Reichel, G. Rodriguez Description: lbdtik: Tikhonov regularization by Lanczos bidiagonalization. This Matlab function computes the Tikhonov regularized solution a linear system, choosing the regularization parameter by minimizing an estimate of the error. A test driver, (which requires the Regularization Tools) is included. Homepage: http://bugs.unica.it/~gppe/software/#lbdtik Dependencies: Matlab Keywords: ill-posed problem; Tikhonov regularization; error estimate; Lanczos bidiagonalization; Gauss quadrature Related Software: ErresTools; Regularization tools; corner.m; LSQR; mftoolbox; cosereg; rrgmrestbx; FAIR.m; NLREG; smt; UTV; tpls; OPQ Cited in: 15 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year Error estimates for large-scale ill-posed problems. Zbl 1166.65332Reichel, L.; Rodriguez, G.; Seatzu, S. 2009 all top 5 Cited by 25 Authors 7 Reichel, Lothar 4 Rodriguez, Giuseppe 3 Mitrouli, Marilena 2 Koukouvinos, Christos 2 Roupa, Paraskevi 2 Turek, Ondřej 1 Bellavia, Stefania 1 Hao, Yongxia 1 Hayami, Ken 1 Hochstenbach, Michiel E. 1 Huang, Guang-Xin 1 Lappa, Angeliki 1 Ledger, Paul David 1 Lu, Dianchen 1 Morigi, Serena 1 Morikuni, Keiichi 1 Park, Yonggi 1 Riccietti, Elisa 1 Seatzu, Sebastiano 1 Sgallari, Fiorella 1 Yin, Feng 1 Yu, Xuebo 1 Yue, Tianxiang 1 Zhao, Mingwei 1 Zhao, Na all top 5 Cited in 9 Serials 5 Numerical Algorithms 3 Journal of Computational and Applied Mathematics 1 Computer Methods in Applied Mechanics and Engineering 1 Inverse Problems 1 Calcolo 1 Applied Numerical Mathematics 1 Communications in Statistics. Simulation and Computation 1 Computational and Applied Mathematics 1 GEM - International Journal on Geomathematics all top 5 Cited in 9 Fields 13 Numerical analysis (65-XX) 3 Statistics (62-XX) 2 Information and communication theory, circuits (94-XX) 1 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year