【数学学院】Numerical Methods for Quadratic Eigenvalue Problems

  • 日期：2018-07-26        来源：四川大学数学学院         点击数：


报告题目: Numerical Methods for Quadratic Eigenvalue Problems

报告人：苏仰锋 教授

单位：复旦大学数学科学学院

时间：2018年8月7日（周二）下午4:00-5:00

地点：数学学院东302（2）

摘要：Conventional numerical method for Quadratic Eigenvalue Problems (QEPs) is: linearize as 

Generalized Eigenvalue Problems (GEPs), solve the GEPs with some linear solver, and then recover 

the eigenpairs from those of the GEPs. This approach may encounter the following problems: 1. 

numerical stability problem. Even the eigenpair for the GEP is backward stable, the recovered 

eigenpair of the QEP may not be backward stable. 2. memory problem. The size of the GEP is twice 

as large as the QEP. 3. efficiency problem. Some structures and properties in QEP do not appear 

in the linearized GEP. This talk will survey some recent advances in these directions.


邀请人：谢小平 教授



来源链接：http://math.scu.edu.cn/info/1062/3586.htm