Duality in mathematical programming and some problems of convex analysis

JOURNAL ARTICLE published 31 October 1970 in Russian Mathematical Surveys

Authors: G Sh Rubinshtein

Convergence analysis of iterative methods for nonsmooth convex optimization over fixed point sets of quasi-nonexpansive mappings

JOURNAL ARTICLE published September 2016 in Mathematical Programming

Research funded by Japan Society for the Promotion of Science (15K04763)

Authors: Hideaki Iiduka

Finitely convex sets of nonlinear differential equations

JOURNAL ARTICLE published March 1967 in Mathematical Systems Theory

Authors: Hubert Halkin

Lifts of convex sets in optimization

JOURNAL ARTICLE published October 2015 in Mathematical Programming

Authors: Volker Kaibel | Rekha Thomas

Duality-based regularization in a linear convex mathematical programming problem

JOURNAL ARTICLE published April 2007 in Computational Mathematics and Mathematical Physics

Authors: M. I. Sumin

Some properties of convex hulls of integer points contained in general convex sets

JOURNAL ARTICLE published October 2013 in Mathematical Programming

Authors: Santanu S. Dey | Diego A. Morán R.

On a method of unconditional optimization in convex programming

JOURNAL ARTICLE published January 1967 in USSR Computational Mathematics and Mathematical Physics

Authors: Vi.D. Mazurov

Semidefinite representation of convex sets

JOURNAL ARTICLE published March 2010 in Mathematical Programming

Authors: J. William Helton | Jiawang Nie

The multiproximal linearization method for convex composite problems

JOURNAL ARTICLE published July 2020 in Mathematical Programming

Research funded by Air Force Office of Scientific Research (FA9550-14-1-0500)

Authors: Jérôme Bolte | Zheng Chen | Edouard Pauwels

Two methods for minimizing convex functions in a class of nonconvex sets

JOURNAL ARTICLE published October 2008 in Computational Mathematics and Mathematical Physics

Authors: Yu. A. Chernyaev

Acceleration method for convex optimization over the fixed point set of a nonexpansive mapping

JOURNAL ARTICLE published February 2015 in Mathematical Programming

Authors: Hideaki Iiduka

Convex sets and convex cones

BOOK CHAPTER published 2006 in Mathematical Programming

Authors: S.M. Sinha

An alternating linearization bundle method for convex optimization and nonlinear multicommodity flow problems

JOURNAL ARTICLE published November 2011 in Mathematical Programming

Authors: K. C. Kiwiel

Status determination by interior-point methods for convex optimization problems in domain-driven form

JOURNAL ARTICLE published July 2022 in Mathematical Programming

Research funded by Office of Naval Research (N00014-18-1-2078) | Office of Naval Research (N00014-15-1-2171) | Office of Naval Research (N00014-12-1-0049)

Authors: Mehdi Karimi | Levent Tunçel

On lower iteration complexity bounds for the convex concave saddle point problems

JOURNAL ARTICLE published July 2022 in Mathematical Programming

Research funded by National Science Foundation (CMMI-172775 and CIF-1910385)

Authors: Junyu Zhang | Mingyi Hong | Shuzhong Zhang

Random algorithms for convex minimization problems

JOURNAL ARTICLE published October 2011 in Mathematical Programming

Authors: Angelia Nedić

Nearly convex sets: fine properties and domains or ranges of subdifferentials of convex functions

JOURNAL ARTICLE published November 2016 in Mathematical Programming

Authors: Sarah M. Moffat | Walaa M. Moursi | Xianfu Wang

Lower complexity bounds of first-order methods for convex-concave bilinear saddle-point problems

JOURNAL ARTICLE published January 2021 in Mathematical Programming

Authors: Yuyuan Ouyang | Yangyang Xu

The augmented Lagrangian method can approximately solve convex optimization with least constraint violation

JOURNAL ARTICLE published July 2023 in Mathematical Programming

Research funded by National Natural Science Foundation of China (11991020) | Innovative Research Group Project of the National Natural Science Foundation of China (12021001) | National Natural Science Foundation of China (11631013,11971372)

Authors: Yu-Hong Dai | Liwei Zhang

A bundle Bregman proximal method for convex nondifferentiable minimization

JOURNAL ARTICLE published 1 June 1999 in Mathematical Programming

Authors: Krzysztof C. Kiwiel