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20152023
most citedAn inexact Douglas-Rachford splitting method for solving absolute value equations

33 citations · 103 across the 18 of their papers we have counts for

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10 papers · 1 filter

math.OC2023

On adaptive stochastic heavy ball momentum for solving linear systems

Yun Zeng, Deren Han, Yansheng Su +1

The stochastic heavy ball momentum (SHBM) method has gained considerable popularity as a scalable approach for solving large-scale optimization problems. However, one limitation of…

math.OC2023

Improving the generalization via coupled tensor norm regularization

Ying Gao, Yunfei Qu, Chunfeng Cui +1

In this paper, we propose a coupled tensor norm regularization that could enable the model output feature and the data input to lie in a low-dimensional manifold, which helps us to…

math.OC2023

Understanding the convergence of the preconditioned PDHG method: a view of indefinite proximal ADMM

Yumin Ma, Xingju Cai, Bo Jiang +1

The primal-dual hybrid gradient (PDHG) algorithm is popular in solving min-max problems which are being widely used in a variety of areas. To improve the applicability and efficien…

math.OC2022★ 6 cited

On finite termination of the generalized Newton method for solving absolute value equations

Jia Tang, Wenli Zheng, Cairong Chen +2

Motivated by the framework constructed by Brugnano and Casulli SIAM J. Sci. Comput. 30: 463--472, 2008, we analyze the finite termination property of the generalized Netwon m…

math.OC2022★ 1 cited

Randomized Douglas-Rachford methods for linear systems: Improved accuracy and efficiency

Deren Han, Yansheng Su, Jiaxin Xie

The Douglas-Rachford (DR) method is a widely used method for finding a point in the intersection of two closed convex sets (feasibility problem). However, the method converges weak…

math.OC2021★ 3 cited

A non-monotone smoothing Newton algorithm for solving the system of generalized absolute value equations

Cairong Chen, Dongmei Yu, Deren Han +1

The system of generalized absolute value equations (GAVE) has attracted more and more attention in the optimization community. In this paper, by introducing a smoothing function, w…

math.OC2021★ 33 cited

An inexact Douglas-Rachford splitting method for solving absolute value equations

Cairong Chen, Dongmei Yu, Deren Han

The last two decades witnessed the increasing of the interests on the absolute value equations (AVE) of finding such that , where $A\in \mathbb{R}^{n…

math.OC2021

Convergence on a symmetric accelerated stochastic ADMM with larger stepsizes

Jianchao Bai, Deren Han, Hao Sun +1

In this paper, we develop a symmetric accelerated stochastic Alternating Direction Method of Multipliers (SAS-ADMM) for solving separable convex optimization problems with linear c…

math.OC2015★ 26 cited

Linear Rate Convergence of the Alternating Direction Method of Multipliers for Convex Composite Quadratic and Semi-Definite Programming

Deren Han, Defeng Sun, Liwei Zhang

In this paper, we aim to provide a comprehensive analysis on the linear rate convergence of the alternating direction method of multipliers (ADMM) for solving linearly constrained…

math.OC2015★ 3 cited

An indefinite-proximal-based strictly contractive Peaceman-Rachford splitting method

Yan Gu, Bo Jiang, Deren Han

The Peaceman-Rachford splitting method is efficient for minimizing a convex optimization problem with a separable objective function and linear constraints. However, its convergenc…