Convergence of a Proximal-like Algorithm in the Presence of Computational Errors
Alexander J. Zaslavski
Abstract
Alexander J. Zaslavski
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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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