SOME RESIDUAL BOUNDS FOR APPROXIMATE EIGENVALUES AND APPROXIMATE EIGENSPACES  

作　　者：Wen Li Xiaoshan Chen 

机构地区：[1]School of Mathematical Sciences,South China Normal University,Guangzhou 510631,China

出　　处：《Journal of Computational Mathematics》2012年第1期47-58,共12页计算数学（英文）

基　　金：Acknowledgments. The authors thank the referees for their helpful comments. The work was supported in part by National Natural Science Foundations of China （No. 10671077, 10971075）, Guangdong Provincial Natural Science Foundations （No. 09150631000021, 06025061） and Research Fund for the Doctoral Program of Higher Education of China （No. 20104407110001）.

摘　　要：In this paper we consider approximate eigenvalues and approximate eigenspaces for the generalized Rayleigh quotient, and present some residual bounds. Our obtained bounds will improve the existing ones.In this paper we consider approximate eigenvalues and approximate eigenspaces for the generalized Rayleigh quotient, and present some residual bounds. Our obtained bounds will improve the existing ones.

关 键 词：Approximate eigenvalue Approximate eigenspace Generalized Rayleigh quo-tient 

分 类 号：TB21[一般工业技术—工程设计测绘] TP391.41[自动化与计算机技术—计算机应用技术]