A version of the dynamical systems method (DSM) for solving ill-conditioned linear algebraic systems is studied. An a priori and an a posteriori stopping rules are justified. An iterative scheme is constructed for solving ill-conditioned linear algebraic systems.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap95-1-6, author = {N. S. Hoang and A. G. Ramm}, title = {Dynamical systems method for solving linear finite-rank operator equations}, journal = {Annales Polonici Mathematici}, volume = {95}, year = {2009}, pages = {77-93}, zbl = {1161.47059}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap95-1-6} }
N. S. Hoang; A. G. Ramm. Dynamical systems method for solving linear finite-rank operator equations. Annales Polonici Mathematici, Tome 95 (2009) pp. 77-93. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap95-1-6/