Solving ill-conditioned linear algebraic systems by the dynamical systems method (DSM)
Numerical Analysis
2008-03-25 v4
Abstract
An iterative scheme for the Dynamical Systems Method (DSM) is given such that one does not have to solve the Cauchy problem occuring in the application of the DSM for solving ill-conditioned linear algebraic systems. The novelty of the algorithm is that the algorithm does not have to find the regularization parameter by solving a nonlinear equation. Numerical experiments show that DSM competes favorably with the Variational Regularization.
Cite
@article{arxiv.0705.4074,
title = {Solving ill-conditioned linear algebraic systems by the dynamical systems method (DSM)},
author = {N. S. Hoang and A. G. Ramm},
journal= {arXiv preprint arXiv:0705.4074},
year = {2008}
}