Quadratic Residual Bounds for the Hermitian Eigenvalue Problem

DOI10.1137/S0895479896310536zbMath0912.15017MaRDI QIDQ4389091

Roy Mathias

Publication date: 11 May 1998

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

eigenvalueSchur complementgeneralized eigenvaluessingular valuesHermitian matrixnon-Hermitian matrixresidual bound

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42)

Related Items (16)

Cluster robust error estimates for the Rayleigh-Ritz approximation II: Estimates for eigenvalues ⋮ Perturbation behavior of a multiple eigenvalue in generalized Hermitian eigenvalue problems ⋮ An indefinite variant of LOBPCG for definite matrix pencils ⋮ Accuracy of singular vectors obtained by projection-based SVD methods ⋮ Rayleigh--Ritz Majorization Error Bounds of Mixed Type ⋮ Majorization Bounds for Ritz Values of Self-Adjoint Matrices ⋮ Some Refined Eigenvalue Perturbation Bounds for Two-by-Two Block Hermitian Matrices ⋮ Eigenvalue perturbation bounds for Hermitian block tridiagonal matrices ⋮ A note on eigenvalues of perturbed 2x2 block Hermitian matrices ⋮ A note on eigenvalues of perturbed Hermitian matrices ⋮ JADAMILU: a software code for computing selected eigenvalues of large sparse symmetric matrices ⋮ Backward perturbation analysis and residual-based error bounds for the linear response eigenvalue problem ⋮ Assessing the performance of an optimization-based multilevel method ⋮ On perturbation bounds of eigenvalues in Euclidean Jordan Algebras ⋮ Error Bounds for Dynamical Spectral Estimation ⋮ Absolute Variation of Ritz Values, Principal Angles, and Spectral Spread

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