报告题目:Projection Methods forSplitVariational Inequalities报告人:徐洪坤教授
时间:2014年6月17日(周二)下午3:40
地点:南山1号楼415(数学系教师休息室)
报告内容摘要:We study the recently introduced split variational inequality under the framework of variational inequalities in a product space. The feature of our equivalent formulation of split variational inequality is its variable separability (that is, splitting nature) together with a linear constraint. We propose a relaxed projection method, which fully exploits the splitting structure of split variational inequality and which is not only easily implementable, but also globally convergent under some mild conditions. Our numerical results on finding the minimum-norm solution of the split feasibility problem and on solving a separable and convex quadratic programming problem verify the eciency and stability of our new method.
报告人简介:
徐洪坤教授,国际著名的非线性泛函数分析及其应用方面的专家。他的主要研究领域为非线性泛函分析与优化、非线性反问题之迭代方法和金融数学中的定价问题。鉴于徐洪坤教授在科学研究中的成就,他于2004年被授予南非数学界最高奖——2004年南非数学会杰出研究奖。徐洪坤教授是台湾中山大学理学院院长,应用数学系西湾讲座教授,第三世界科学院院士。现为《Nonlinear Analysis》等十余种国际数学杂志副主编和编委。