On Perturbations of Matrix Pencils with Real Spectra

DOI10.2307/2153406zbMath0795.15012OpenAlexW2092249975MaRDI QIDQ4286597

Ren-Cang Li

Publication date: 27 March 1994

Full work available at URL: https://doi.org/10.2307/2153406

zbMATH Keywords

Hermitian matricesreal spectrumgeneralized eigenvalue problemperturbation boundsgeneralized eigenspacesHoffman-Wielandt theoremDavis-Kahan theoremsspectral variationsdiagonalizable matrix pencilWeyl-Lidskij theorem

Mathematics Subject Classification ID

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

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Norms of certain matrices with applications to variations of the spectra of matrices and matrix pencils ⋮ On perturbations of matrix pencils with real spectra, a revisit ⋮ On interval estimates of perturbations of generalized eigenvalues for diagonalizable pairs ⋮ The tan Θ theorem for definite matrix pairs ⋮ Relative perturbation theory for definite matrix pairs and hyperbolic eigenvalue problem ⋮ Unnamed Item ⋮ Trace ratio optimization with an application to multi-view learning ⋮ On perturbations of matrix pencils with real spectra. II ⋮ On the variation of the spectra of matrix pencils ⋮ The nearest definite pair for the Hermitian generalized eigenvalue problem ⋮ Unnamed Item ⋮ A perturbation bound for definite pencils ⋮ Relative perturbation bounds for eigenpairs of diagonalizable matrices ⋮ On the Explicit Expression of Chordal Metric between Generalized Singular Values of Grassmann Matrix Pairs with Applications ⋮ Backward perturbation analysis and residual-based error bounds for the linear response eigenvalue problem ⋮ Relative perturbation theory. IV: \(\sin 2\theta\) theorems ⋮ Spectral variations and Hadamard products: Some problems

Cites Work

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