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理学院数学系学术报告- Recent Research on Gradient Systems
[ 作者:秦泗甜 来源:哈工大(威海)新闻网 浏览:401 录入时间:2018年4月12日 ]

 

    应理学院数学系邀请,黑龙江省数学会理事长薛小平教授,将于420日至422日访问我校数学系,期间将作一场学术报告,欢迎感兴趣的学生和老师参加。

报告时间:2018421日(周六)下午15:00-16:00

报告地点:主楼东配楼203室(数学系报告厅)

报告题目:Recent Research on Gradient Systems

报告摘要:In this talk, I will show my recent research on gradient systems and its application in a neurodynamic optimization.  A gradient system is proposed for solving convex optimization problems with general constraint. It is proved that for any initial point, the state of the proposed gradient system reaches the constraint set in finite time, and converges to an optimal solution of the convex optimization problem finally. In contrast to the existing related conclusions, the convergence rate of the state of the proposed gradient system can be calculated quantitatively via the Łojasiewicz exponent under some mild assumptions. As applications, we estimate explicitly some Lojasiewicz exponents to show the convergence rate of the state of the proposed gradient system for solving convex quadratic optimization problems. And some numerical examples are given to demonstrate the effectiveness of the proposed gradient system.

 




文章发布员:杨薇