全校师生：

我校定于2020年09月26日举办研究生灵犀学术殿堂——韩德仁教授报告会，现将有关事项通知如下：

1.报告会简介

报告人：韩德仁教授

时间：2020年09月26日(星期六) 11：00

地点：腾讯会议(会议号：688 912 696)

报告题目：求绝对值方程的非精确Douglas-Rachford分裂法

内容简介：The last two decades witnessed the increasing of the interests on the absolute value equations (AVE) of finding a vectorxsuch thatAx-|x|=b. In this paper, we reformulate AVE to a generalized linear complementarity problem (GLCP) which, among the equivalent forms, is the most economical one in the sense that it does not increase the dimension of the variables. For solving GLCP, we propose an inexact Douglas-Rachford splitting method which can adopt a relative error tolerance. As a consequence, in the inner iteration processes, we can employ the LSQR method to find a qualified approximate solution for each subproblem, which makes the cost per iteration very low. We prove the convergence of the algorithm and establish its global linear rate of convergence. Comparing results with the popular algorithms such as the exact generalized Newton method, the inexact semi-smooth Newton method and the exact SOR-like method are reported, which indicate that the proposed algorithm is very promising. Moreover, our method also extends the range of numerically solvable of the AVE; that is, it can deal with not only the case that ||A^-1|| < 1, the commonly used in those existing literature, but also the case where ||A^-1|| = 1.

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数学与统计学院

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2020年9月21日

报告人简介

韩德仁教授，北京航空航天大学数学科学学院博士生导师、国家杰出青年基金获得者、国家自然科学基金会评专家。2002年获南京大学博士学位；2002-2017年在南京师范大学工作；之后在北航工作并担任数学科学学院院长。

韩教授主要从事大规模优化问题、变分不等式问题等数值方法及应用研究。在这些方向上发表学术论文100余篇，其中部分论文发表在诸如Mathematical Programming, Numerische Mathematik, SIAM Journal on Numerical Analysis, SIAM Journal on Image Science, Mathematics of Computation等顶级期刊上。曾获中国运筹学会青年运筹学奖二等奖、江苏省科技进步二等奖等奖项；现担任中国运筹学会理事、数学规划分会常务理事，计算数学、Journal of the Operations Research Society of China、Journal of Global Optimization杂志的编委。