English

On an adaptive regularization for ill-posed nonlinear systems and its trust-region implementation

Numerical Analysis 2015-04-15 v1

Abstract

In this paper we address the stable numerical solution of nonlinear ill-posed systems by a trust-region method. We show that an appropriate choice of the trust-region radius gives rise to a procedure that has the potential to approach a solution of the unperturbed system. This regularizing property is shown theoretically and validated numerically.

Keywords

Cite

@article{arxiv.1504.03442,
  title  = {On an adaptive regularization for ill-posed nonlinear systems and its trust-region implementation},
  author = {Stefania Bellavia and Benedetta Morini and Elisa Riccietti},
  journal= {arXiv preprint arXiv:1504.03442},
  year   = {2015}
}

Comments

arXiv admin note: text overlap with arXiv:1410.2780

R2 v1 2026-06-22T09:15:35.424Z