On perturbations of matrix pencils with real spectra. II

DOI10.1090/S0025-5718-96-00699-0zbMath0852.15008MaRDI QIDQ4878571

Rajendra Bhatia, Ren-Cang Li

Publication date: 4 December 1996

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

real spectrumperturbation boundsdiagonalizable matrix pencil

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Inequalities involving eigenvalues and eigenvectors (15A42) Matrix pencils (15A22)

Related Items (9)

On perturbations of matrix pencils with real spectra, a revisit ⋮ Spectral variation bounds for diagonalisable matrices ⋮ On the maximization of the fundamental eigenvalue in topology optimization ⋮ THE HYPERBOLIC QUADRATIC EIGENVALUE PROBLEM ⋮ Relative perturbation theory for definite matrix pairs and hyperbolic eigenvalue problem ⋮ Some inequalities for commutators and an application to spectral variation. II ⋮ Backward perturbation analysis and residual-based error bounds for the linear response eigenvalue problem ⋮ Fixing two eigenvalues by a minimal perturbation ⋮ Spectral variations and Hadamard products: Some problems

Cites Work

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• The variation of the spectrum of a normal matrix
• SYMMETRIC GAUGE FUNCTIONS AND UNITARILY INVARIANT NORMS
• A bound for the spectral variation of a unitary operator
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• On Perturbations of Matrix Pencils with Real Spectra
• The Rotation of Eigenvectors by a Perturbation. III
• An Extremum Property of Sums of Eigenvalues
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