Open Access
2010 Convergence of a Proximal-like Algorithm in the Presence of Computational Errors
Alexander J. Zaslavski
Taiwanese J. Math. 14(6): 2307-2328 (2010). DOI: 10.11650/twjm/1500406077

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.

Citation

Download Citation

Alexander J. Zaslavski. "Convergence of a Proximal-like Algorithm in the Presence of Computational Errors." Taiwanese J. Math. 14 (6) 2307 - 2328, 2010. https://doi.org/10.11650/twjm/1500406077

Information

Published: 2010
First available in Project Euclid: 18 July 2017

zbMATH: 1237.49043
MathSciNet: MR2742366
Digital Object Identifier: 10.11650/twjm/1500406077

Subjects:
Primary: 49M37 , 90C25 , 90C30

Keywords: Bregman functions , Convex programming , proximal methods

Rights: Copyright © 2010 The Mathematical Society of the Republic of China

Vol.14 • No. 6 • 2010
Back to Top