Dynamical Systems Method for solving ill-conditioned linear algebraic systems
Numerical Analysis
2009-12-04 v2 Dynamical Systems
Abstract
A new method, the Dynamical Systems Method (DSM), justified recently, is applied to solving ill-conditioned linear algebraic system (ICLAS). The DSM gives a new approach to solving a wide class of ill-posed problems. In this paper a new iterative scheme for solving ICLAS is proposed. This iterative scheme is based on the DSM solution. An a posteriori stopping rules for the proposed method is justified. This paper also gives an a posteriori stopping rule for a modified iterative scheme developed in A.G.Ramm, JMAA,330 (2007),1338-1346, and proves convergence of the solution obtained by the iterative scheme.
Cite
@article{arxiv.0911.3065,
title = {Dynamical Systems Method for solving ill-conditioned linear algebraic systems},
author = {Sapto W. Indratno and A. G. Ramm},
journal= {arXiv preprint arXiv:0911.3065},
year = {2009}
}
Comments
26 pages