A second order perturbation expansion for small singular values

DOI10.1016/0024-3795(84)90128-9zbMath0532.15008OpenAlexW2015138396MaRDI QIDQ788792

G. W. Stewart

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0024-3795(84)90128-9

zbMATH Keywords

perturbationsymmetric eigenvalue problemconformal partitionsmall singular values

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items

A contribution to perturbation analysis for total least squares problems, Perturbation of the SVD in the presence of small singular values, On perturbation of operators and Rayleigh-Schrödinger coefficients, Asymptotic Expansions for Stationary Distributions of Perturbed Semi-Markov Processes, Some results on condition numbers of the scaled total least squares problem, Perturbation expansions and error bounds for the truncated singular value decomposition, Perturbation analysis and condition numbers of scaled total least squares problems, On a second-order expansion of the truncated singular subspace decomposition, A necessary condition ensuring the strong hyperbolicity of first-order systems, Condition number of singular value: zero-structured and patterned case, On a Problem of Weighted Low-Rank Approximation of Matrices

Cites Work

• A note on the perturbation of singular values
• Rank Degeneracy
• Error and Perturbation Bounds for Subspaces Associated with Certain Eigenvalue Problems