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International Journal of Computer Mathematics Volume 88, 2011 - Issue 14
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Section B

Multiplicative relative perturbation bounds of eigenvalues for diagonalizable matrices

Jianxin Chen Faculty of Applied Mathematics, Guangdong University of Technology, Guangzhou, Guangdong, 510006, China; School of Management, Jinan University, Guangzhou, Guangdong, 510655, ChinaCorrespondence[email protected]
,
Weiqi Luo School of Management, Jinan University, Guangzhou, Guangdong, 510655, China
&
Sulin Pang School of Management, Jinan University, Guangzhou, Guangdong, 510655, China
Pages 3061-3068 | Received 26 Sep 2010, Accepted 23 Mar 2011, Published online: 22 Jun 2011

References

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  • Li , W. 2008 . Multiplicative perturbation bounds for spectral and singular value decompostions . J. Comput. Appl. Math , 217 : 243 – 251 .
  • Li , W. and Sun , W. 2005 . The perturbation bounds for eigenvalues of normal matrices . Numer. Linear Algebra Appl , 12 : 89 – 94 .
  • Stewart , G. W. and Sun , J. G. 1990 . “ Matrix Perturbation Theory ” . Boston, MA : Academic Press .

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