Incomplete Corrections in Nonlinear Problems

  • PROBLEMST . EIROLA, A . M . KRASNOSEL ' SKII, N . A . KUZNETSOV M . A . KRASNOSEL ' SKII, O . NEVANLINNAAbstract
  • Published 2007

Abstract

A general setting of incomplete iterations: u n+1 (x) = u n (x) + n (x))F u n (x) ? u n (x)] is considered. Using methods from the theory of positive operators general results about convergence of this are given. These results relate the convergence of the iterations to the series P n (x) and it's divergence. As an application we consider asynchronous iteration with parallel processors.

Cite this paper

@inproceedings{EIROLA2007IncompleteCI, title={Incomplete Corrections in Nonlinear Problems}, author={PROBLEMST . EIROLA and A . M . KRASNOSEL ' SKII and N . A . KUZNETSOV M . A . KRASNOSEL ' SKII and O . NEVANLINNAAbstract}, year={2007} }