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A Convergence Result for Asynchronous Algorithms and Applications

2007/03/14 by Abdenasser Benahmed, Benahmed, Abdenasser
Computer Science · Mathematics · #Optimization and Variational Analysis #Advanced Optimization Algorithms Research #Matrix Theory and Algorithms

paper · doi:10.48550/arxiv.math/0703410

Abstract

We give in this paper a convergence result concerning parallel asynchronous algorithm with bounded delays to solve a nonlinear fixed point problems. This result is applied to calculate the solution of a strongly monotone operator. Special cases of these operators are used to solve some problems related to convex analysis like minimization of functionals, calculus of saddle point and variational inequality problem.

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