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Optimal bounds for the spectral variation of two regular matrix pairs

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Publication:855582
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DOI10.1016/j.laa.2006.03.029zbMath1126.15008OpenAlexW2017534512MaRDI QIDQ855582

Guoxing Wu

Publication date: 7 December 2006

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2006.03.029

zbMATH Keywords

generalized eigenvaluespectral variationElsner's theorem


Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Matrix pencils (15A22)


Related Items

On upper bounds for the spectral variation of two regular matrix pairs, A new inequality for the Hausdorff distance between spectra of two matrices, A refined bound for the spectral variations of matrices



Cites Work

  • Unnamed Item
  • On the variation of the spectra of matrix pencils
  • An optimal bound for the spectral variation of two matrices
  • Perturbation bounds for the definite generalized eigenvalue problem
  • Perturbation theorems for the generalized eigenvalue problem
  • An Elsner-like perturbation theorem for generalized eigenvalues
  • SYMMETRIC GAUGE FUNCTIONS AND UNITARILY INVARIANT NORMS
  • Variation of tensor powers and spectrat
  • On the Sensitivity of the Eigenvalue Problem $Ax = \lambda Bx$
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