报告题目:A splitting method based on alternating direction method and proximal point algorithm for three-block separable convex programming
报告人:蒋建林 教授
报告人单位:南京航空航天大学
报告时间:2018年4月4日,下午3:00-4:00
报告地点:数学学院九龙湖第一报告厅
报告摘要:
The alternating direction method of multipliers (ADMM) and proximal point algorithm (PPA) are effectively applied to solving separable convex programming problems with linearly constrains. In this paper, we propose a splitting method for three-block separable convex programming by adding an additional proximal term to some subproblems and changing the iterate order of multiplier of the classical ADMM. Moreover, the splitting method is ready to be accelerated by an over-relaxation strategy. We prove the global convergence and establish the O(1/t) convergence rate for the method. The proposed method inherits the advantages of ADMM and PPA and some satisfactory numerical results for several concrete application problems are reported to verify its efficiency.
报告人介绍:
蒋建林,南京航空航天大学教授,博士生导师,数学系主任。2000年南京大学数学系计算数学专业获理学学士学位,2005年南京大学数学系计算数学专业获理学博士学位。研究方向为数值最优化、设施选址模型的研究与应用,在国内外正式刊物上发表学术论文30篇余篇。报告人与国内外学者合作密切,多次到新加坡、香港等地高校进行访问与交流。主持国家自然科学基金项目面上项目1项,国家自然科学基金青年基金项目1项,江苏省自然科学基金面上项目1项,留学回国人员科研启动基金项目1项;参与国家自然科学基金面上项目1项,国际合作交流项目2项。2014年获江苏省“青蓝工程”培养对象。