Hansen, Per Christian Regularization tools version \(4.0\) for matlab \(7.3\). (English) Zbl 1128.65029 Numer. Algorithms 46, No. 2, 189-194 (2007). Summary: This communication describes version \(4.0\) of Regularization Tools, a Matlab package for analysis and solution of discrete ill-posed problems. The new version allows for under-determined problems, and it is expanded with several new iterative methods, as well as new test problems and new parameter-choice methods. Cited in 148 Documents MSC: 65F22 Ill-posedness and regularization problems in numerical linear algebra 65Y15 Packaged methods for numerical algorithms Keywords:regularization; discrete ill-posed problems; Matlab; numerical examples; iterative methods Software:Matlab; Regularization tools PDF BibTeX XML Cite \textit{P. C. Hansen}, Numer. Algorithms 46, No. 2, 189--194 (2007; Zbl 1128.65029) Full Text: DOI References: [1] Calvetti, D., Lewis, B., Reichel, L.: GMRES-type methods for inconsistent systems. Lin. Alg. Appl. 316, 157–169 (2000) · Zbl 0963.65042 · doi:10.1016/S0024-3795(00)00064-1 [2] Hanke, M.: Conjugate Gradient Methods for Ill-Posed Problems. Longman Scientific and Technical, Essex (1995) · Zbl 0830.65043 [3] Hansen, P.C.: Regularization tools: a Matlab package for analysis and solution of discrete ill-posed problems. Numer. Algorithms 6, 1–35(1994) · Zbl 0789.65029 · doi:10.1007/BF02149761 [4] Hansen, P.C.: Regularization Tools version 3.0 for Matlab 5.2. Numer. Algorithms 20, 195–196 (1999) · Zbl 0933.65065 · doi:10.1023/A:1019160018978 [5] Hansen, P.C.: Deconvolution and regularization with Toeplitz matrices. Numer. Algorithms 29, 323–378 (2002) · Zbl 1002.65145 · doi:10.1023/A:1015222829062 [6] Hansen, P.C., Jensen, T.K.: Smoothing-norm preconditioning for regularizing minimum-norm methods. SIAM J. Matrix Anal. Appl. 29, 1–14 (2006) · Zbl 1154.65028 · doi:10.1137/050628453 [7] Hansen, P.C., Jensen, T.K., Rodriguez, G.: An adaptive pruning algorithm for the discrete L-curve criterion. J. Comput. Appl. Math. 198, 483–492 (2007) · Zbl 1101.65044 · doi:10.1016/j.cam.2005.09.026 [8] Hansen, P.C., Kilmer, M., Kjeldsen, R.H.: Exploiting residual information in the parameter choice for discrete ill-posed problems. BIT 46, 41–59 (2006) · Zbl 1091.65038 · doi:10.1007/s10543-006-0042-7 [9] Jacobsen, M., Hansen, P.C., Saunders, M.A.: Subspace preconditioned LSQR for discrete ill-posed problems. BIT 43, 975–989 (2003) · Zbl 1046.65030 · doi:10.1023/B:BITN.0000014547.88978.05 [10] Jensen, T.K., Hansen, P.C.: Iterative regularization with minimum-residual methods. BIT 47, 103–120 (2007) · Zbl 1113.65037 · doi:10.1007/s10543-006-0109-5 [11] Natterer, F., Wübbeling, F.: Mathematical Methods in Image Reconstruction. SIAM, Philadelphia (2001) · Zbl 0974.92016 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.