The DOI matches its Crossref record; 11 of the 11 references it cites were found in a registry or an index.
Convergence Analysis of a Proximal-Like Minimization Algorithm Using Bregman Functions
Abstract
An alternative convergence proof of a proximal-like minimization algorithm using Bregman functions, recently proposed by Censor and Zenios, is presented. The analysis allows the establishment of a global convergence rate of the algorithm expressed in terms of function values.
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Citations
Cites
Rockafellar, R. T. (1970) · Princeton University Press eBooks · doi:10.1515/9781400873173 · Cited by 10,801
Monotone Operators and the Proximal Point Algorithm
Rockafellar, R. T. (1976) · SIAM Journal on Control and Optimization · doi:10.1137/0314056 · Cited by 3,559
Bregman, L. M. (1967) · USSR Computational Mathematics and Mathematical Physics · doi:10.1016/0041-5553(67)90040-7 · Cited by 2,618
Proximité et dualité dans un espace hilbertien
Moreau, J. J. (1965) · Bulletin de la Société mathématique de France · doi:10.24033/bsmf.1625 · Cited by 1,462
Augmented Lagrangians and Applications of the Proximal Point Algorithm in Convex Programming
Rockafellar, R. T. (1976) · Mathematics of Operations Research · doi:10.1287/moor.1.2.97 · Cited by 1,175
On the Convergence of the Proximal Point Algorithm for Convex Minimization
Güler, O. (1991) · SIAM Journal on Control and Optimization · doi:10.1137/0329022 · Cited by 681
An iterative row-action method for interval convex programming
Censor, Y., & Lent, A. H. (1981) · Journal of Optimization Theory and Applications · doi:10.1007/bf00934676 · Cited by 498
Nonlinear Proximal Point Algorithms Using Bregman Functions, with Applications to Convex Programming
Eckstein, J. (1993) · Mathematics of Operations Research · doi:10.1287/moor.18.1.202 · Cited by 324
Proximal minimization algorithm withD-functions
Censor, Y., & Zenios, S. A. (1992) · Journal of Optimization Theory and Applications · doi:10.1007/bf00940051 · Cited by 268
Entropic Proximal Mappings with Applications to Nonlinear Programming
Teboulle, M. (1992) · Mathematics of Operations Research · doi:10.1287/moor.17.3.670 · Cited by 240
Self-citationMultiplicative iterative algorithms for convex programming
Eggermont, P. P. B. (1990) · Linear Algebra and its Applications · doi:10.1016/0024-3795(90)90204-p · Cited by 97
Cited by
An Iterative Regularization Method for Total Variation-Based Image Restoration
Osher, S., Burger, M., Goldfarb, D., Xu, J., & Yin, W. (2005) · Multiscale Modeling & Simulation · doi:10.1137/040605412 · Cited by 1,787
Optimal Distributed Online Prediction using Mini-Batches
Dekel, O., Gilad-Bachrach, R., Shamir, O., & Xiao, L. (2010) · arXiv (Cornell University) · doi:10.48550/arxiv.1012.1367 · Cited by 512
A Unified Primal-Dual Algorithm Framework Based on Bregman Iteration
Zhang, X., Burger, M., & Osher, S. (2011) · Journal of Scientific Computing · doi:10.1007/s10915-010-9408-8 · Cited by 419
Interior Gradient and Proximal Methods for Convex and Conic Optimization
Auslender, A., & Teboulle, M. (2006) · SIAM Journal on Optimization · doi:10.1137/s1052623403427823 · Cited by 269
Self-citation
Metadata
- Authors
- Chen, G., & Teboulle, M.
- Venue
- SIAM Journal on Optimization
- Published
- 1993-08
- Volume
- 3
- Issue
- 3
- Pages
- 538-543
- ISSN
- 1052-6234 (ISSN-L)
- 1095-7189
- OpenAlex
- W2090376964
- Cited by
- 428
- References
- 11
- FWCI
- 6.02
- Type
- journal article
- Language
- en
- Open access
- closed
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