Optimal perturbation bounds for the Hermitian eigenvalue problem

DOI10.1016/S0024-3795(99)00268-2zbMath0957.15015MaRDI QIDQ1976906

Jesse L. Barlow, Ivan Slapničar

Publication date: 20 March 2001

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

zbMATH Keywords

Hermitian matriceseigenvalue perturbationstructured perturbationrelative error boundconditioning estimates

Mathematics Subject Classification ID

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

Related Items (8)

Semiparametric estimation of fractional cointegrating subspaces ⋮ Perturbation behavior of a multiple eigenvalue in generalized Hermitian eigenvalue problems ⋮ Distributed Jacobi joint diagonalization on clusters of personal computers ⋮ Relative perturbation theory for definite matrix pairs and hyperbolic eigenvalue problem ⋮ Eigenvalue perturbation bounds for Hermitian block tridiagonal matrices ⋮ Portmanteau-type tests for unit-root and cointegration ⋮ A new stable bidiagonal reduction algorithm ⋮ A note on the perturbation bounds of eigenspaces for Hermitian matrices

Cites Work

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• Relative Perturbation Theory: I. Eigenvalue and Singular Value Variations
• Relative Perturbation Theory: II. Eigenspace and Singular Subspace Variations
• Relative Perturbation Techniques for Singular Value Problems
• Computing Accurate Eigensystems of Scaled Diagonally Dominant Matrices
• The Rotation of Eigenvectors by a Perturbation. III

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