为进一步营造有利于人才培养和科技创新的学术环境和科学研究氛围，搭建国际合作与交流平台，校区教学与科研工作部举办系列科技前沿学术讲坛。本期讲坛具体信息如下：

一、时间和地点：

9月17日13:30 C07-301

二、报告题目：

An intermediate eigenvalue problem in electronic structure calculation

三、报告人：

张绍良 教授

四、邀请人：

张金涛 副教授

五、报告人简介：

张绍良，日本名古屋大学应用物理系教授。曾任东亚工业与应用数学学会（EASIAM）秘书长，日本工业与应用数学学会（JSIAM）副会长，现任JSIAM会士。曾在计算流体力学研究所，筑波大学，东京大学任职。主要从事大型科学与工程计算的高速算法研究工作,发展了Krylov子空间“乘积型迭代法”，在改良著名迭代法 Bi-CGSTAB的同时，借助Lanczos三阶递推公式，提出了解大型线性方程组的乘积迭代法的统一模型。兼任International Journal of Numerical Analysis and Modeling，East Asian Journal on Applied Mathematics, Journal of Mathematical Research with Applications, Communications in Mathematical Research, CSIAM Transaction on Applied Mathematics, Transactions of the Japan Society for Industrial and Applied Mathematics, Bulletin of the Japan Society for Industrial and Applied Mathematics及Japan Journal of Industrial and Applied Mathematics等国际期刊编委。

六、报告内容简介：

We consider the generalized eigenvalue problem

A x = λB x

where A is a real symmetric matrix and B is a real symmetric positive definite matrix.

A property of this problem is that all the eigenvalues are real,and it is often needed to compute a number of eigenvalues which are important for applications.

In the field of electronic structure calculation, there has emerged a need to find the eigenvalues related to luminescence of organic materials. The targets are small in number, and from the atomic configuration of the material it is determined which eigenvalues need to be computed.

In this talk, we present a bisection approach to obtaining the eigenvalues related to the luminescence. By iteratively searching and narrowing the interval within which the target eigenvalues exist,

we can find them without computing unrelated eigenvalues.

教学与科研工作部

莱斯特国际学院

2025年9月9日