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Relative Perturbation Theory:  (Make Corrections)  
(I) Eigenvalue Variations Ren-Cang Li Department of Mathematics University of ...



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Abstract: In this paper, we consider how eigenvalues of a matrix A change when it is perturbed to e A = D 1 AD2 and how singular values of a (nonsquare) matrix B change when it is perturbed to e B = D 1 BD2 , where D1 and D2 are assumed to be close to unitary matrices of suitable dimensions. (Update)

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BibTeX entry:   (Update)

@misc{ ren-cang-relative,
  author = "Eigenvalue Variations Ren-Cang",
  title = "Relative Perturbation Theory:",
  url = "citeseer.ist.psu.edu/736751.html" }
Citations (may not include all citations):
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313   Matrix Perturbation Theory (context) - Stewart, Sun - 1990
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27   The variation of the spectrum of a normal matrix (context) - Hoffman, Wielandt - 1953
27   A block QR algorithm and the singular value decomposition - Mathias, Stewart - 1993
26   Relative perturbation techniques for singular value problems (context) - Eisenstat, Ipsen - 1993
21   Relative perturbation bounds for eigenspaces and singular ve.. (context) - Eisenstat, Ipsen - 1994

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