A perturbation bound for definite pencils

DOI10.1016/0024-3795(93)90329-MzbMath0813.15017OpenAlexW1964855037MaRDI QIDQ1208310

Ren-Cang Li

Publication date: 16 May 1993

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

Full work available at URL: https://doi.org/10.1016/0024-3795(93)90329-m

zbMATH Keywords

generalized eigenvalue problemHermitian matrixmatrix pencilspectral variations

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Matrix pencils (15A22)

Related Items (13)

On eigenvalue variations of Rayleigh quotient matrix pencils of a definite pencil ⋮ On perturbations of matrix pencils with real spectra, a revisit ⋮ On interval estimates of perturbations of generalized eigenvalues for diagonalizable pairs ⋮ Generalized eigenvalues of a definite Hermitian matrix pair ⋮ New perturbation bounds of partitioned generalized Hermitian eigenvalue problem ⋮ On perturbations of matrix pencils with real spectra. II ⋮ A backward error for the symmetric generalized inverse eigenvalue problem ⋮ The nearest definite pair for the Hermitian generalized eigenvalue problem ⋮ On Perturbations of Matrix Pencils with Real Spectra ⋮ Distance Problems for Hermitian Matrix Pencils with Eigenvalues of Definite Type ⋮ 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 ⋮ Absolute and relative Weyl theorems for generalized eigenvalue problems

Cites Work

• Unnamed Item
• Finding a positive definite linear combination of two Hermitian matrices
• Inequalities for the Schatten p-Norm. IV
• Some inequalities for norm ideals
• On some perturbation inequalities for operators
• An inequality for trace ideals
• The perturbation bounds for eigenspaces of a definite matrix-pair
• Perturbation bounds for the definite generalized eigenvalue problem
• A note on Stewart's theorem for definite matrix pairs
• The variation of the spectrum of a normal matrix
• SYMMETRIC GAUGE FUNCTIONS AND UNITARILY INVARIANT NORMS
• A Stable Generalized Eigenvalue Problem
• On Perturbations of Matrix Pencils with Real Spectra
• Some new bounds on perturbation of subspaces
• An Extremum Property of Sums of Eigenvalues

This page was built for publication: A perturbation bound for definite pencils