2010Taiwanese Journal of MathematicsRequires access

Convergence of a Proximal-like Algorithm in the Presence of Computational Errors

Alexander J. Zaslavski

Open publisher page 3 citations

Abstract

We study the convergence of a proximal-like minimization algorithm using Bregman functions. We extend the convergence results by Censor and Zenios (1992) and by Chen and Teboulle (1993) by showing that the convergence of the algorithm is preserved in the presence of computational errors.

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What this paper is about

We study the convergence of a proximal-like minimization algorithm using Bregman functions. We extend the convergence results by Censor and Zenios (1992) and by Chen and Teboulle (1993) by showing that the convergence of the algorithm is preserved in the presence of computational errors.

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OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

We study the convergence of a proximal-like minimization algorithm using Bregman functions. We extend the convergence results by Censor and Zenios (1992) and by Chen and Teboulle (1993) by showing that the convergence of the algorithm is preserved in the presence of computational errors.

Key concepts: Convergence (economics), Mathematics, Algorithm, Minification, Chen, Compact convergence, Mathematical optimization, Rate of convergence

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