Regularization tools

Regularization Tools: A MATLAB package for Analysis and Solution of Discrete Ill-Posed Problems. Version 4.1. By means of the routines in this package, the user can experiment with different regularization strategies. The package also includes 12 test problems. Requires Matlab Version 7.3. The manual and more details can be found at pch/Regutools/

References in zbMATH (referenced in 463 articles , 3 standard articles )

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  1. Chung, Julianne; Chung, Matthias: Optimal regularized inverse matrices for inverse problems (2017)
  2. Dykes, L.; Noschese, S.; Reichel, L.: Circulant preconditioners for discrete ill-posed Toeplitz systems (2017)
  3. Huang, G.; Lanza, A.; Morigi, S.; Reichel, L.; Sgallari, F.: Majorization-minimization generalized Krylov subspace methods for $\ell _p$-$\ell _q$ optimization applied to image restoration (2017)
  4. Nakamura, Gen; Wang, Haibing: Numerical reconstruction of unknown Robin inclusions inside a heat conductor by a non-iterative method (2017)
  5. Novati, Paolo: Some properties of the Arnoldi-based methods for linear ill-posed problems (2017)
  6. Onunwor, Enyinda; Reichel, Lothar: On the computation of a truncated SVD of a large linear discrete ill-posed problem (2017)
  7. Reem, Daniel; de Pierro, Alvaro: A new convergence analysis and perturbation resilience of some accelerated proximal forward-backward algorithms with errors (2017)
  8. Renaut, Rosemary A.; Horst, Michael; Wang, Yang; Cochran, Douglas; Hansen, Jakob: Efficient estimation of regularization parameters via downsampling and the singular value expansion, downsampling regularization parameter estimation (2017)
  9. Renaut, Rosemary A.; Vatankhah, Saeed; Ardestani, Vahid E.: Hybrid and iteratively reweighted regularization by unbiased predictive risk and weighted GCV for projected systems (2017)
  10. Zwaan, Ian N.; Hochstenbach, Michiel E.: Multidirectional subspace expansion for one-parameter and multiparameter Tikhonov regularization (2017)
  11. Abusag, Nadia M.; Chappell, David J.: On sparse reconstructions in near-field acoustic holography using the method of superposition (2016)
  12. Balu, R.; DeLillo, T.K.: Numerical methods for Riemann-Hilbert problems in multiply connected circle domains (2016)
  13. Bazán, Fermín S.V.; Kleefeld, Andreas; Leem, Koung Hee; Pelekanos, George: Sampling method based projection approach for the reconstruction of 3D acoustically penetrable scatterers (2016)
  14. Beck, Amir; Sabach, Shoham; Teboulle, Marc: An alternating semiproximal method for nonconvex regularized structured total least squares problems (2016)
  15. Bentbib, A.H.; El Guide, M.; Jbilou, K.; Reichel, L.: A global Lanczos method for image restoration (2016)
  16. Cakoni, Fioralba; de Teresa, Irene; Haddar, Houssem; Monk, Peter: Nondestructive testing of the delaminated interface between two materials (2016)
  17. De Asmundis, Roberta; di Serafino, Daniela; Landi, Germana: On the regularizing behavior of the SDA and SDC gradient methods in the solution of linear ill-posed problems (2016)
  18. Diao, Huai-An; Wei, Yimin; Qiao, Sanzheng: Structured condition numbers of structured Tikhonov regularization problem and their estimations (2016)
  19. Donatelli, Marco; Huckle, Thomas; Mazza, Mariarosa; Sesana, Debora: Image deblurring by sparsity constraint on the Fourier coefficients (2016)
  20. Dong, Jun-Liang; Gao, Junbin; Ju, Fujiao; Shen, Jinghua: Modulus methods for nonnegatively constrained image restoration (2016)

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