陳亮

2005.9--2009.6湖南大學數學與計量經濟學院，獲理學學士學位

(B.S.) College of Mathematics and Econometrics, Hunan University

2009.9--2016.12湖南大學數學與計量經濟學院計，獲數學博士學位

(Ph.D.) College of Mathematics and Econometrics, Hunan University

2013. 8--2015 8 國家公派赴新加坡國立大學數學系，聯合培養博士生

(Joint Ph.D. Student, supported by CSC) Department of Mathematics, National University of Singapore ^[1] 

2017.2--2017.7新加坡國立大學數學系，博士後 (Research Fellow)

Research Fellow, Department of Mathematics, National University of Singapore (worked with Prof. Kim-Chuan Toh)

2017.9--2019.9 香港理工大學數學系，博士後 (Postdoctoral Fellow)

Postdoctoral Fellow, Department of Applied Mathematics, the Hong Kong Polytechnic University (worked with Prof. Defeng Sun) ^[1] 

運籌學/數學優化/線性與非線性規劃/凸優化/矩陣優化/統計優化

Operations Research, Mathematical Optimization

Linear and Nonlinear Programming, Convex Programming

Matrix Optimization, Statistical Optimization ^[1] 

[1] Liang Chen, Anping Liao: On the convergence properties of a second-order augmented Lagrangian method for nonlinear programming problems with inequality constraints, Journal of Optimization Theory and Applications, DOI:10.1007/s10957-015-0842-5, 2015

[2] Liang Chen, Defeng Sun, and Kim-Chuan Toh: An efficient inexact symmetric Gauss-Seidel based majorized ADMM for high-dimensional convex composite conic programming, Mathematical Programming, 2017, 161(1): 237--270

[3] Liang Chen, Defeng Sun, and Kim-Chuan Toh: A note on the convergence of ADMM for linearly constrained convex optimization problems, Computational Optimization and Applications, 2017, 66(2): 327--343

[4] Yunhai Xiao, Liang Chen, and Donghui Li: A generalized alternating direction method of multipliers with semi-proximal terms for convex composite conic programming, Mathematical Programming Computation, 2018. DOI: 10.1007/s12532-018-0134-9

[5] Liang Chen, Defeng Sun, and Kim-Chuan Toh: Some problems on the Gauss-Seidel iteration method in degenerate cases, Journal on Numerical Methods and Computer Applications, 2019, 40: 98--110 (中文/in Chinese)

[6] Liang Chen, Defeng Sun, Kim-Chuan Toh, and Ning Zhang: A unified algorithmic framework of symmetric Gauss-Seidel decomposition based proximal ADMMs for convex composite programming, Journal of Computational Mathematics, DOI:10.4208/jcm.1803-m2018-0278, 2019

[7] Liang Chen, Xudong Li, Defeng Sun, and Kim-Chuan Toh: On the equivalence of inexact proximal ALM and ADMM for a class of convex composite programming, Mathematical Programming, DOI:10.1007/s10107-019-01423-x, 2019

Preprints:

[1] Xiaokai Chang, Liang Chen, and Sanyang Liu: A three-operator splitting perspective of a three-block ADMM for convex quadratic semidefinite programming and extensions, submitted, 2018

[2] Xinyuan Zhao, Liang Chen: On the linear and asymptotically superlinear convergence rates of the augmented Lagrangian method with a practical relative error criterion, submitted, 2019 ^[1] 

湖南省計算數學與應用軟件學會理事

美國工業與應用數學學會(SIAM)會員

中國運籌學會終身會員

中國工業與應用數學學會終身會員

《Math. Program.》，《SIAM J. Optim.》，《Math. Program. Comput.》，《Comput. Optim. Appl.》,《Optim. Method Softw.》，《Calcolo》，《Sci. China Math.》,《J. Comput. Math.》，《Optim. Lett.》,《Pac. J. Optim.》,《Asia-Pac. J. Oper. Res.》等運籌學及最優化主流期刊的審稿人 ^[1] 

1. 一類含有雙正則項的大規模凸約束優化問題的兩階段增廣拉格朗日法，國家自然科學基金-青年基金 (11801158)，2019.01--2021.12

2. 大規模一致性凸優化問題的分散及分佈式計算，湖南省自然科學基金-青年基金(2019JJ50040)，2019.1--2021.12 ^[1] 

1. 壓縮傳感中CS矩陣的構造理論與信號重構的快速算法，國家自然科學基金-面上項目 (11271117)，2013.1--2016.12

2. 兩類自對偶錐上的最大最小互補特徵值問題研究，國家自然科學基金-面上項目 (11871205)，2019.1--2022.12

3. 非常規油藏模擬中的變分不等式模型與大規模並行算法的研究，國家自然科學基金-面上項目 (11971006)，2020.1--2023.12

4. 低秩張量優化理論、方法及應用研究，國家自然科學基金-面上項目 (11971159)，2020.1--2023.12 ^[1] 

2019秋 運籌學 (本科)

(Fall) Operations Research (for undergraduate students)

2019秋 高等數值分析 (碩士研究生)

(Fall) Advanced Numerical Analysis (for graduate student) ^[1]