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 519 articles , 3 standard articles )

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  1. Ahookhosh, Masoud; Neumaier, Arnold: Optimal subgradient algorithms for large-scale convex optimization in simple domains (2017)
  2. Bai, Zhong-Zhi; Buccini, Alessandro; Hayami, Ken; Reichel, Lothar; Yin, Jun-Feng; Zheng, Ning: Modulus-based iterative methods for constrained Tikhonov regularization (2017)
  3. Bentbib, A.H.; El Guide, M.; Jbilou, K.: The block Lanczos algorithm for linear ill-posed problems (2017)
  4. Bentbib, A.H.; El Guide, M.; Jbilou, K.; Reichel, L.: Global Golub-Kahan bidiagonalization applied to large discrete ill-posed problems (2017)
  5. Berntsson, F.; Kozlov, V.A.; Mpinganzima, L.; Turesson, B.O.: Iterative Tikhonov regularization for the Cauchy problem for the Helmholtz equation (2017)
  6. Chávez, Carlos Eduardo; Alonso-Atienza, Felipe; Álvarez, Diego: The use of a simple model in the inverse characterization of cardiac ischemic regions (2017)
  7. Chung, Julianne; Chung, Matthias: Optimal regularized inverse matrices for inverse problems (2017)
  8. Chung, Matthias; Krueger, Justin; Pop, Mihai: Identification of microbiota dynamics using robust parameter estimation methods (2017)
  9. Diao, Huai-An: On condition numbers for least squares with quadric inequality constraint (2017)
  10. Dykes, L.; Noschese, S.; Reichel, L.: Circulant preconditioners for discrete ill-posed Toeplitz systems (2017)
  11. Estatico, Claudio; Gratton, Serge; Lenti, Flavia; Titley-Peloquin, David: A conjugate gradient like method for $p$-norm minimization in functional spaces (2017)
  12. Fenu, Caterina; Reichel, Lothar; Rodriguez, Giuseppe; Sadok, Hassane: GCV for Tikhonov regularization by partial SVD (2017)
  13. Hnětynková, Iveta; Kubínová, Marie; Plešinger, Martin: Noise representation in residuals of LSQR, LSMR, and CRAIG regularization (2017)
  14. 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)
  15. Martínez-Finkelshtein, A.; Ramos-López, D.; Iskander, D.R.: Computation of 2D Fourier transforms and diffraction integrals using Gaussian radial basis functions (2017)
  16. Morigi, Serena; Reichel, Lothar; Sgallari, Fiorella: Fractional Tikhonov regularization with a nonlinear penalty term (2017)
  17. Nakamura, Gen; Wang, Haibing: Numerical reconstruction of unknown Robin inclusions inside a heat conductor by a non-iterative method (2017)
  18. Novati, Paolo: Some properties of the Arnoldi-based methods for linear ill-posed problems (2017)
  19. Onunwor, Enyinda; Reichel, Lothar: On the computation of a truncated SVD of a large linear discrete ill-posed problem (2017)
  20. Pisarenco, Maxim; Setija, Irwan D.: Compact discrepancy and chi-squared principles for over-determined inverse problems (2017)

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