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MAS Forum 第六期:分子科学的维度
报告题目:
The Beauty of Duality Theory and Applications in Mathematical Science
 报告人:
David Yang Gao
Department of Mathematics,Virginia Tech,USA
报告时间:
2007-06-21 08:00
报告地点:
六教6A201
主办单位:
数学科学系方述诚讲席教授组
  简介:

欢迎参加!

内容简介:Duality is an inspiring, fundamental concept that underlies almost all natural phenomena. In mathematical science, dynamical systems, global optimization, economics, control theory, numerical methods and scientific computation, duality principles and methods are playing more and more important roles. Canonical duality theory is a newly developed, potentially powerful methodology, which can be used to solve a large class of difficult problems in mathematical analysis and optimization.

In this talk, the speaker will give a brief introduction to the canonical duality theory and its role in mathematical analysis and optimization. By using some simple but very interesting problems in global optimization, the speaker will first present a unified structure and splendid beauty in mathematical science. The traditional Lagrangian duality theory will be explained in a new way. A potentially powerful canonical dual transformation method and the associated triality theory will be introduced by using some simple examples in nonconvex optimization. He will show that by using this method, many very difficult problems can be solved in an elegant way. Applications will be illustrated by certain well-known global optimization problems. This talk should bring some fundamentally new insights into mathematical science.

 

 

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