English

Dynamical systems method for solving linear ill-posed problems

Numerical Analysis 2007-05-23 v2 Dynamical Systems

Abstract

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 discrepancy principle for choosing regularization parameter are obtained.

Keywords

Cite

@article{arxiv.math/0601696,
  title  = {Dynamical systems method for solving linear ill-posed problems},
  author = {A. G. Ramm},
  journal= {arXiv preprint arXiv:math/0601696},
  year   = {2007}
}