摘要
A matrix is said to be stable if the real parts of all the eigenvalues are negative. In this paper, for any matrix An, we discuss the stability properties of T. Chan’s preconditioner cU (An) from the viewpoint of the numerical range. An application in numerical ODEs is also given.
A matrix is said to be stable if the real parts of all the eigenvalues are negative. In this paper, for any matrix An, we discuss the stability properties of T. Chan＇s preconditioner cU（An） from the viewpoint of the numerical range. An application in numerical ODEs is also given.
基金
The research is partially supported by the grant RG081/04-05S/JXQ/FST from University of Macao and thegrant 050/2005/A from FDCT.
关键词
稳定性
数值域
本征值
边值定理
T. Chan＇s preconditioner
stability
numerical range
boundary value method.
