J. Comp. Math., 30 (2012), pp. 47-58.


Some Residual Bounds for Approximate Eigenvalues and Approximate Eigenspaces

Wen Li 1, Xiaoshan Chen 1

1 School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China

Received 2011-2-09 Accepted 2011-5-31
Available online 2012-1-09
doi:10.4208/jcm.1110-m11si11

Abstract

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.

Key words: Approximate eigenvalue, Approximate eigenspace, Generalized Rayleigh quotient.

AMS subject classifications: 65F10, 65F15, 65F35.


Email: liwen@scnu.edu.cn, xschen@scnu.edu.cn
 

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