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Volume 30, Issue 1
Some Residual Bounds for Approximate Eigenvalues and Approximate Eigenspaces

Wen Li & Xiaoshan Chen

DOI: 10.4208/jcm.1110-m11si11

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

Published online: 2012-02

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  • 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.

  • Keywords

Approximate eigenvalue, Approximate eigenspace, Generalized Rayleigh quotient.

  • AMS Subject Headings

65F10, 65F15, 65F35.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JCM-30-47, author = {Wen Li and Xiaoshan Chen}, title = {Some Residual Bounds for Approximate Eigenvalues and Approximate Eigenspaces}, journal = {Journal of Computational Mathematics}, year = {2012}, volume = {30}, number = {1}, pages = {47--58}, 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.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1110-m11si11}, url = {http://global-sci.org/intro/article_detail/jcm/8416.html} }
TY - JOUR T1 - Some Residual Bounds for Approximate Eigenvalues and Approximate Eigenspaces AU - Wen Li & Xiaoshan Chen JO - Journal of Computational Mathematics VL - 1 SP - 47 EP - 58 PY - 2012 DA - 2012/02 SN - 30 DO - http://doi.org/10.4208/jcm.1110-m11si11 UR - https://global-sci.org/intro/article_detail/jcm/8416.html KW - Approximate eigenvalue, Approximate eigenspace, Generalized Rayleigh quotient. AB -

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.

Wen Li and Xiaoshan Chen. (2012). Some Residual Bounds for Approximate Eigenvalues and Approximate Eigenspaces. Journal of Computational Mathematics. 30 (1). 47-58. doi:10.4208/jcm.1110-m11si11
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