Relative perturbation theory. IV: \(\sin 2\theta\) theorems

DOI10.1016/S0024-3795(00)00077-XzbMath0963.15017MaRDI QIDQ1567544

Ren-Cang Li

Publication date: 28 June 2001

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

zbMATH Keywords

multiplicative perturbationsHermitian eigenproblemsingular value problemdouble-angle theorems

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items (5)

The optimal perturbation bounds of the Moore-Penrose inverse under the Frobenius norm ⋮ The a priori \(\tan \Theta\) theorem for spectral subspaces ⋮ Residual bounds for some or all singular values ⋮ Implicit standard Jacobi gives high relative accuracy ⋮ A \(\sin 2\varTheta\) theorem for graded indefinite Hermitian matrices

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