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20122026
most citedAn Efficient Inexact Symmetric Gauss-Seidel Based Majorized ADMM for High-Dimensional Convex Composite Conic Programming

109 citations · 565 across the 64 of their papers we have counts for

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Showing 2014 · math.OCShow all

6 papers · 2 filters

math.OC2014★ 4 cited

A Majorized ADMM with Indefinite Proximal Terms for Linearly Constrained Convex Composite Optimization

Min Li, Defeng Sun, Kim-Chuan Toh

This paper presents a majorized alternating direction method of multipliers (ADMM) with indefinite proximal terms for solving linearly constrained -block convex composite optimi…

math.OC2014★ 68 cited

A Convergent -Block Semi-Proximal ADMM for Convex Minimization Problems with One Strongly Convex Block

Min Li, Defeng Sun, Kim-Chuan Toh

In this paper, we present a semi-proximal alternating direction method of multipliers (ADMM) for solving -block separable convex minimization problems with the second block in t…

math.OC2014★ 4 cited

A Schur Complement Based Semi-Proximal ADMM for Convex Quadratic Conic Programming and Extensions

Xudong Li, Defeng Sun, Kim-Chuan Toh

This paper is devoted to the design of an efficient and convergent {semi-proximal} alternating direction method of multipliers (ADMM) for finding a solution of low to medium accura…

math.OC2014★ 1 cited

SDPNAL: A Majorized Semismooth Newton-CG Augmented Lagrangian Method for Semidefinite Programming with Nonnegative Constraints

Liuqin Yang, Defeng Sun, Kim-Chuan Toh

In this paper, we present a majorized semismooth Newton-CG augmented Lagrangian method, called SDPNAL, for semidefinite programming (SDP) with partial or full nonnegative constr…

math.OC2014★ 49 cited

A Convergent 3-Block Semi-Proximal Alternating Direction Method of Multipliers for Conic Programming with -Type of Constraints

Defeng Sun, Kim-Chuan Toh, Liuqin Yang

The objective of this paper is to design an efficient and convergent alternating direction method of multipliers (ADMM) for finding a solution of medium accuracy to conic programmi…

math.OC2014★ 2 cited

Spectral Operators of Matrices

Chao Ding, Defeng Sun, Jie Sun +1

The class of matrix optimization problems (MOPs) has been recognized in recent years to be a powerful tool by researchers far beyond the optimization community to model many import…