A new relative perturbation theorem for singular subspaces

DOI10.1016/S0024-3795(00)00074-4zbMath0962.15012MaRDI QIDQ1579512

G. W. Stewart, Ren-Cang Li

Publication date: 20 June 2001

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

zbMATH Keywords

sensitivityrectangular matrixsingular subspacesrelative perturbations

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42)

Related Items

Asymptotic Expansions for Stationary Distributions of Perturbed Semi-Markov Processes, Residual bounds for some or all singular values, Absolute and relative perturbation bounds for invariant subspaces of matrices, Global convergence of ADMM in nonconvex nonsmooth optimization, Approximation of PDE eigenvalue problems involving parameter dependent matrices, Relative perturbation theory. IV: \(\sin 2\theta\) theorems

Cites Work

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• Relative Perturbation Theory: II. Eigenspace and Singular Subspace Variations
• New Perturbation Bounds for the Unitary Polar Factor
• Perturbation bounds in connection with singular value decomposition