rrgmrestbx

Algorithms for range restricted iterative methods for linear discrete ill-posed problems. Range restricted iterative methods based on the Arnoldi process are attractive for the solution of large nonsymmetric linear discrete ill-posed problems with error-contaminated data (right-hand side). Several derivations of this type of iterative methods are compared by the authors [Implementation of range restricted iterative methods for linear discrete ill-posed problems. Linear Algebra Appl (to appear)]. We describe MATLAB codes for the best of these implementations. MATLAB codes for range restricted iterative methods for symmetric linear discrete ill-posed problems are also presented. (netlib numeralgo na33)


References in zbMATH (referenced in 13 articles , 1 standard article )

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  1. Zhang, Hui; Dai, Hua: The regularizing properties of global GMRES for solving large-scale linear discrete ill-posed problems with several right-hand sides (2021)
  2. Ahmed, Elyes; Abda, Amel Ben: The sub-Cauchy-Stokes problem: solvability issues and Lagrange multiplier methods with artificial boundary conditions (2018)
  3. Aminikhah, H.; Yousefi, M.: Preconditioned RRGMRES for discrete ill-posed problems (2018)
  4. Bentbib, A. H.; El Guide, M.; Jbilou, K.; Reichel, L.: Global Golub-Kahan bidiagonalization applied to large discrete ill-posed problems (2017)
  5. Buccini, Alessandro: Regularizing preconditioners by non-stationary iterated Tikhonov with general penalty term (2017)
  6. Bellalij, M.; Reichel, L.; Sadok, H.: Some properties of range restricted GMRES methods (2015)
  7. Donatelli, M.; Reichel, L.: Square smoothing regularization matrices with accurate boundary conditions (2014)
  8. Dykes, L.; Marcellán, F.; Reichel, L.: The structure of iterative methods for symmetric linear discrete ill-posed problems (2014)
  9. Hearn, Tristan A.; Reichel, Lothar: Application of denoising methods to regularizationof ill-posed problems (2014)
  10. Morikuni, Keiichi; Reichel, Lothar; Hayami, Ken: FGMRES for linear discrete ill-posed problems (2014)
  11. Reichel, Lothar; Rodriguez, Giuseppe: Old and new parameter choice rules for discrete ill-posed problems (2013)
  12. Donatelli, Marco; Neuman, Arthur; Reichel, Lothar: Square regularization matrices for large linear discrete ill-posed problems. (2012)
  13. Neuman, Arthur; Reichel, Lothar; Sadok, Hassane: Algorithms for range restricted iterative methods for linear discrete ill-posed problems (2012)