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 496 articles , 3 standard articles )

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  1. Bai, Zhong-Zhi; Buccini, Alessandro; Hayami, Ken; Reichel, Lothar; Yin, Jun-Feng; Zheng, Ning: Modulus-based iterative methods for constrained Tikhonov regularization (2017)
  2. Bentbib, A.H.; El Guide, M.; Jbilou, K.: The block Lanczos algorithm for linear ill-posed problems (2017)
  3. Bentbib, A.H.; El Guide, M.; Jbilou, K.; Reichel, L.: Global Golub-Kahan bidiagonalization applied to large discrete ill-posed problems (2017)
  4. Berntsson, F.; Kozlov, V.A.; Mpinganzima, L.; Turesson, B.O.: Iterative Tikhonov regularization for the Cauchy problem for the Helmholtz equation (2017)
  5. Chung, Julianne; Chung, Matthias: Optimal regularized inverse matrices for inverse problems (2017)
  6. Diao, Huai-An: On condition numbers for least squares with quadric inequality constraint (2017)
  7. Dykes, L.; Noschese, S.; Reichel, L.: Circulant preconditioners for discrete ill-posed Toeplitz systems (2017)
  8. Estatico, Claudio; Gratton, Serge; Lenti, Flavia; Titley-Peloquin, David: A conjugate gradient like method for p-norm minimization in functional spaces (2017)
  9. Hnětynková, Iveta; Kubínová, Marie; Plešinger, Martin: Noise representation in residuals of LSQR, LSMR, and CRAIG regularization (2017)
  10. 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)
  11. Martínez-Finkelshtein, A.; Ramos-López, D.; Iskander, D.R.: Computation of 2D Fourier transforms and diffraction integrals using Gaussian radial basis functions (2017)
  12. Morigi, Serena; Reichel, Lothar; Sgallari, Fiorella: Fractional Tikhonov regularization with a nonlinear penalty term (2017)
  13. Nakamura, Gen; Wang, Haibing: Numerical reconstruction of unknown Robin inclusions inside a heat conductor by a non-iterative method (2017)
  14. Novati, Paolo: Some properties of the Arnoldi-based methods for linear ill-posed problems (2017)
  15. Onunwor, Enyinda; Reichel, Lothar: On the computation of a truncated SVD of a large linear discrete ill-posed problem (2017)
  16. Pisarenco, Maxim; Setija, Irwan D.: Compact discrepancy and chi-squared principles for over-determined inverse problems (2017)
  17. Reem, Daniel; de Pierro, Alvaro: A new convergence analysis and perturbation resilience of some accelerated proximal forward-backward algorithms with errors (2017)
  18. 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)
  19. Renaut, Rosemary A.; Vatankhah, Saeed; Ardestani, Vahid E.: Hybrid and iteratively reweighted regularization by unbiased predictive risk and weighted GCV for projected systems (2017)
  20. Shidfar, A.; Darooghehgimofrad, Z.: A numerical algorithm based on RBFs for solving an inverse source problem (2017)

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