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Linear and Multilinear Algebra Volume 63, 2015 - Issue 4
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Articles

A note on eigenvalues of perturbed 2x2 block Hermitian matrices

Guang-Hui ChengSchool of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, P.R. China.Correspondence[email protected]
,
Qin TanSchool of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, P.R. China.
&
Zhuan-De WangSchool of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, P.R. China.
Pages 820-825 | Received 20 Jun 2013, Accepted 28 Feb 2014, Published online: 29 Apr 2014

References

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  • Li RC, Nakatsukasa Y, Truhar N, Xu SF. Perturbation of partitioned Hermitian definite generalized eigenvalue problem. SIAM J. Matix Anal. Appl. 2011;32:642–663.
  • Mathias R. Quadratic residual bounds for the Hermitian eigenvalue problem. SIAM J. Matix Anal. Appl. 1998;19:541–550.
  • Nakatsukasa Y. Eigenvalue perturbation bounds for Hermitian block tridiagonal matrices. Appl. Numer. Math. 2012;62:67–78.
  • Nakatsukasa Y. Perturbation behavior of a multiple eigenvalue in generalized Hermitian eigenvalue problems. BIT. 2010;50:109–121.
  • Stewart GW, Sun JG. Matrix perturbation theory. Boston: Academic Press; 1990.

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