A note on unifying absolute and relative perturbation bounds

DOI10.1016/S0024-3795(01)00571-7zbMath1028.15016MaRDI QIDQ1855441

Ilse C. F. Ipsen

Publication date: 5 February 2003

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

zbMATH Keywords

invariant subspaceperturbation boundseigenvalue boundsabsolute bounddeparture from normalityrelative boundsubspace angle

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Inequalities involving eigenvalues and eigenvectors (15A42) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items (6)

Multiplicative relative perturbation bounds of eigenvalues for diagonalizable matrices ⋮ On the variation of the spectrum of a Hermitian matrix ⋮ Perturbation analysis of matrices over a quaternion division algebra ⋮ New perturbation bounds for the spectrum of a normal matrix ⋮ Relative perturbation bounds for eigenpairs of diagonalizable matrices ⋮ Krylov-Subspace Recycling via the POD-Augmented Conjugate-Gradient Method

Cites Work

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• Relative perturbation theory for hyperbolic eigenvalue problem
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• Relative Perturbation Theory: II. Eigenspace and Singular Subspace Variations
• A Note on Relative Perturbation Bounds
• Some new bounds on perturbation of subspaces
• The Rotation of Eigenvectors by a Perturbation. III

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