Relative perturbation theory for hyperbolic eigenvalue problem

DOI10.1016/S0024-3795(99)00126-3zbMath0957.15016OpenAlexW2066744973MaRDI QIDQ1976908

Ninoslav Truhar, Ivan Slapničar

Publication date: 20 March 2001

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

Full work available at URL: https://doi.org/10.1016/s0024-3795(99)00126-3

zbMATH Keywords

\(J\)-Hermitian matrixeigenvalue perturbationeigenvector perturbationhyperbolic eigenvalue problems

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (11)

Relative perturbation theory for definite matrix pairs and hyperbolic eigenvalue problem ⋮ Quadratic convergence estimate of scaled iterates by \(J\)-symmetric Jacobi method ⋮ Relative residual bounds for indefinite Hermitian matrices ⋮ On an eigenvector-dependent nonlinear eigenvalue problem from the perspective of relative perturbation theory ⋮ Numerical methods for accurate computation of the eigenvalues of Hermitian matrices and the singular values of general matrices ⋮ Relative perturbation theory for a class of diagonalizable Hermitian matrix pairs ⋮ A note on unifying absolute and relative perturbation bounds ⋮ An implicit Jacobi-like method for computing generalized hyperbolic SVD ⋮ Relative perturbation theory for hyperbolic singular value problem ⋮ Highly accurate symmetric eigenvalue decomposition and hyperbolic SVD ⋮ A \(\sin 2\varTheta\) theorem for graded indefinite Hermitian matrices

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