全校師生：
我校定于2020年09月26日舉辦研究生靈犀學術殿堂——韓德仁教授報告會，現將有關事項通知如下：
1.報告會簡介
報告人：韓德仁教授
時間：2020年09月26日(星期六) 11：00
地點：騰訊會議(會議號：688 912 696)
報告題目：求絕對值方程的非精確Douglas-Rachford分裂法
內容簡介：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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西北工業大學黨委學生工作部
數學與統計學院
復雜系統動力學與控制工信部重點實驗室
2020年9月21日
報告人簡介
韓德仁教授，北京航空航天大學數學科學學院博士生導師、國家杰出青年基金獲得者、國家自然科學基金會評專家。2002年獲南京大學博士學位；2002-2017年在南京師范大學工作；之后在北航工作并擔任數學科學學院院長。
韓教授主要從事大規模優化問題、變分不等式問題等數值方法及應用研究。在這些方向上發表學術論文100余篇，其中部分論文發表在諸如Mathematical Programming, Numerische Mathematik, SIAM Journal on Numerical Analysis, SIAM Journal on Image Science, Mathematics of Computation等頂級期刊上。曾獲中國運籌學會青年運籌學獎二等獎、江蘇省科技進步二等獎等獎項；現擔任中國運籌學會理事、數學規劃分會常務理事，計算數學、Journal of the Operations Research Society of China、Journal of Global Optimization雜志的編委。
