Dynamical systems method for solving linear finite-rank operator equations

This work addresses the problem of solving ill-conditioned linear systems for mathematicians and numerical analysts, but the contribution appears incremental as it extends existing DSM theory to finite-rank operator equations without empirical validation.

The paper develops a Dynamical Systems Method (DSM) for solving ill-conditioned linear algebraic systems, providing both a priori and a posteriori stopping rules and an iterative scheme. No concrete numerical results are reported.