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長沙理工大學(xué)學(xué)術(shù)活動預(yù)告

報告承辦單位: 數(shù)學(xué)與統(tǒng)計(jì)學(xué)院

報告題目: An efficient Newton-type algorithm for a novel kind of tensor complementarity problems

報告內(nèi)容: We introduce a novel kind of structured tensor based on the concept of $P_0$ mapping, and the solvability of the corresponding tensor complementarity problem is discussed. We show that the solution set is nonempty and compact if the related tensor is an $R_0$-tensor. Especially, we also introduce a new structured tensor related to the $P$ mapping on $R^n_+$ and prove that the corresponding tensor complementarity problem has a unique solution. Based on the structure of the newly introduced tensor, we propose a smoothing Newton-type algorithm with a new one-dimensional line search rule for solving the corresponding tensor complementarity problem.

報告人姓名:  張立平

報告人所在單位: 清華大學(xué)

報告人職稱/職務(wù)及學(xué)術(shù)頭銜:  副教授、博士導(dǎo)師

報告時間:  2020年9月24日（星期四）：19:30-20:30

報告方式:  線上騰訊會議，會議號ID：426-463-938

報告人簡介:  張立平，清華大學(xué)長聘副教授，博士生導(dǎo)師，研究方向最優(yōu)化理論算法及應(yīng)用，在求解互補(bǔ)與變分不等式問題、半無限規(guī)劃、張量優(yōu)化等方面取得了一些有意義的結(jié)果。已發(fā)表高質(zhì)量論文三十余篇、連續(xù)獲得多項(xiàng)國家自然科學(xué)基金資助。曾獲得教育部自然科學(xué)獎二等獎和北京市科學(xué)技術(shù)獎二等獎。