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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap95-3-5, author = {A. G. Ramm}, title = {Dynamical systems method for solving linear ill-posed problems}, journal = {Annales Polonici Mathematici}, volume = {95}, year = {2009}, pages = {253-272}, zbl = {1210.47036}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap95-3-5} }
A. G. Ramm. Dynamical systems method for solving linear ill-posed problems. Annales Polonici Mathematici, Tome 95 (2009) pp. 253-272. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap95-3-5/