报告题目：The charming leading eigenpair

报 告 人：Prof. Mu-Fa Chen (Beijing Normal University)

报告时间：2016年3月22日 10:30

报告地点：知新楼B1238室

Abstract:

The word ''eigenpair'' means an eigenvalue and its eigenvector (eigenfunction). The word ''leading'' is the leading term in a spectrum, the leading eigenvalue, for instance. It has different names in different context: the first nontrivial eigenvalue, the principal eigenvalue, the maximal eigenvalue, and so on.

The talk introduces our study on the topic in a backward way. First, we present some new exciting results on computing the maximal eigenpair for matrices. The key for this is finding efficient initials for the known algorithms. The initials come from our previous study on the estimation of the leading eigenpair. Next, we survey shortly the unified basic estimates for the leading eigenvalues in various situation, mainly for one-dimensional elliptic operator. In the last part of the talk, we mention our original goal for the study is looking for mathematical tools to study the phase transitions in statistical mechanics.

欢迎各位老师同学积极参加！