top
Various versions of the Dynamical Systems Method (DSM) are proposed for solving linear ill-posed problems with bounded and unbounded operators. Convergence of the proposed methods is proved. Some new results concerning the discrepancy principle for choosing the regularization parameter are obtained.
A. G. Ramm. "Dynamical systems method for solving linear ill-posed problems." Annales Polonici Mathematici 95.3 (2009): 253-272. <http://eudml.org/doc/280279>.
@article{A2009, abstract = {Various versions of the Dynamical Systems Method (DSM) are proposed for solving linear ill-posed problems with bounded and unbounded operators. Convergence of the proposed methods is proved. Some new results concerning the discrepancy principle for choosing the regularization parameter are obtained.}, author = {A. G. Ramm}, journal = {Annales Polonici Mathematici}, keywords = {ill-posed problems; dynamical systems method (DSM); regularization parameter; discrepancy principle; unbounded operators; linear operator equations}, language = {eng}, number = {3}, pages = {253-272}, title = {Dynamical systems method for solving linear ill-posed problems}, url = {http://eudml.org/doc/280279}, volume = {95}, year = {2009}, }
TY - JOUR AU - A. G. Ramm TI - Dynamical systems method for solving linear ill-posed problems JO - Annales Polonici Mathematici PY - 2009 VL - 95 IS - 3 SP - 253 EP - 272 AB - Various versions of the Dynamical Systems Method (DSM) are proposed for solving linear ill-posed problems with bounded and unbounded operators. Convergence of the proposed methods is proved. Some new results concerning the discrepancy principle for choosing the regularization parameter are obtained. LA - eng KW - ill-posed problems; dynamical systems method (DSM); regularization parameter; discrepancy principle; unbounded operators; linear operator equations UR - http://eudml.org/doc/280279 ER -