Parallel synchronous algorithm for nonlinear fixed point problems

Ahmed Addou; Abdenasser Benahmed

doi:10.1155/IJMMS.2005.3175

Parallel synchronous algorithm for nonlinear fixed point problems

Numerical Analysis 2007-05-23 v1

Authors: Ahmed Addou , Abdenasser Benahmed

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Abstract

We give in this paper a convergence result concerning parallel synchronous algorithm for nonlinear fixed point problems with respect to the euclidian norm in $\Rn$ . We then apply this result to some problems related to convex analysis like minimization of functionals, calculus of saddle point, convex programming...

Keywords

parallel-in-time integration convex optimization stochastic optimization

Cite

@article{arxiv.math/0703412,
  title  = {Parallel synchronous algorithm for nonlinear fixed point problems},
  author = {Ahmed Addou and Abdenasser Benahmed},
  journal= {arXiv preprint arXiv:math/0703412},
  year   = {2007}
}

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