Monotone inclusions

Strong convergence of self-adaptive inertial algorithms for solving split variational inclusion problems with applications Bing Tan, Xiaolong Qin*, Jen-Chih Yao Journal of Scientific Computing. 2021, 87(1), Article ID 20. [PDF] [Link]

Strong convergence of inertial forward–backward methods for solving monotone inclusions Bing Tan, Sun Young Cho* Applicable Analysis. https://doi.org/10.1080/00036811.2021.1892080. [PDF] [Link]

Projects

1. 求解单调包含问题的加速算法研究，重庆市自然科学基金面上项目，立项编号：CSTB2024NSCQ-MSX0354，执行时间：2024.7.1–2027.6.30，主持，10万元

2. 均衡问题的算法设计与应用研究，中央高校基本科研业务费，立项编号：SWU-KQ24052，执行时间：2024.5.1-2027.4.30，主持，20万元

Conference

• Oct. 2024. 中国运筹学会第十七届年会，贵州贵阳.

• May 2023. 非线性分析国际会议暨第二十二届全国非线性泛函分析会议，贵州贵阳，中国. PS：热烈庆祝张石生先生90岁生日快乐.

• Jun. 2022. 2022 West Coast Optimization Meeting (WCOM)，UBC Okanagan，加拿大.

• Jul. 2021. 第八届现代分析数学及其应用国际学术会议，甘肃兰州，中国.

• Oct. 2020. 中国运筹学会第十一次全国会员代表大会暨第十五次学术交流会，安徽合肥，中国.

• Jun. 2019. 电子科技大学基础与前沿研究院五周年院士高峰论坛，四川成都，中国.

• Apr. 2019. 中国运筹学会第十二届全国数学优化会议，江苏南京，中国.

Academic events

• 2024.9. 汕头大学数学系作报告. Link

Organizer–Xiaolong Qin

Date	Speaker	Title	Location	Info
Jun 2019	Haiyun Zhou	Variational inequality problem	Chengdu, CN
May 2019	Xianfu Wang	A parameterized Douglas–Rachford algorithm	Chengdu, CN
Mar 2019	Markus A. Kobis	A note on separation approaches to set–valued optimization problems	Chengdu, CN

Speaker: Haiyun Zhou	Speaker: Xianfu Wang
Speaker: Markus A. Kobis

Codes

• An explicit extragradient algorithm for equilibrium problems on Hadamard manifolds. Fan2020EGM4EPonHM

• Strong convergence of two inertial projection algorithms in Hilbert spaces. Tan2020iSPs4MVIP-HFPP

MATLAB Toolbox

• vipsegm. Numerical solution for pseudomonotone variational inequality problems by extragradient methods.

• Manopt. With Manopt, you can solve optimization problems on manifolds using state-of-the-art algorithms, with minimal effort.

• SGDLibrary. MATLAB/Octave library for stochastic optimization algorithms.

• FOM, is a MATLAB toolbox containing a collection of first order methods for solving (mainly) convex optimization problems.

• CVX: Matlab Software for Disciplined Convex Programming.

• TFOCS: Templates for First-Order Conic Solvers. Introduction

• NESTA: Nesterov's Algorithm. A Fast and Accurate First-order Method for Sparse Recovery.

• UNLocBoX: Matlab convex optimization toolbox.

• YALMIP: MATLAB toolbox for optimization modeling.

• PN2O: Parallel Algorithms and Numerical Nonlinear Optimization,

• l1benchmark: Fast \(\ell_1\) Minimization Algorithms.

• FASTA. Fast Adaptive Shrinkage/Thresholding Algorithm.

• Toolbox Sparse Optmization: Optimization codes for sparsity related signal processing.

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