报 告 人:: 苏仰锋
报告地点:: 数学与统计学院二楼会议室
报告时间:: 2019年06月10日星期一10:00-11:00

The 2D eigenvalue problem (2dEVP) is a class of the double eigenvalue problems first studied by Blum and Chang in 1970s. The 2dEVP seeks real scalars $\lambda, \mu$,

and a corresponding vector $x$ satisfying the following equations


Ax & = \lambda x + \mu Cx,\\

x^H C x &=0, \\

x^H x &=1,


where $A$ and $C$ are Hermitian and $C$ is indefinite. We show the connections between 2dEVP with well-known numerical linear algebra and optimization problems such as quadratic programming, the distance to instability and $H_{\infty}$-norm. We will discuss (1) fundamental properties of 2dEVP including well-posedness, types and regularity, (2) backward error analysis and numerical algorithms.


发 布 人:吴双 发布时间: 2019-06-03