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学术报告三十七:Global Lojasiewicz Inequalities on Comparing the Rate of Growth of Polynomial Functions

数学与统计学院学术报告[2020] 037

(高水平大学建设系列报告390)

报告题目: Global Lojasiewicz Inequalities on Comparing the Rate of Growth of Polynomial Functions

报告人:郭峰 副教授(大连理工大学)

报告时间:202075 16:00-16:50

直播平台及链接: 腾讯会议(会议ID682 336 686

报告内容:

We present a global version of the Lojasiewicz inequality on comparing the rate of growth of two polynomial functions in the case the mapping defined by these functions is (Newton) non-degenerate at infinity. In addition, we show that the condition of non-degeneracy at infinity is generic in the sense that it holds in an open and dense semi-algebraic set of the entire space of input data. This is a joint work with S. T. Dinh and T. S. Pham.

报告人简历:

郭峰,大连理工大学数学科学学院计算数学研究所副教授,硕士生导师。2012年于中国科学院数学与系统科学研究院获博士学位。主要从事凸代数几何及优化相关理论研究,包括多项式及半代数优化、半定规划、符号数值混合计算、数学机械化等,在SIAM Journal on Optimization, Journal of Global Optimization, Computational Optimization and Applications, ISSAC等国际杂志和国际会议发表及接收发表论文近20篇。


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