Bounds on Perturbations of Generalized Singular Values and of Associated Subspaces

DOI10.1137/0614017zbMath0771.15002OpenAlexW2037561790MaRDI QIDQ4033827

Ren-Cang Li

Publication date: 16 May 1993

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0614017

zbMATH Keywords

singular value decompositionperturbationschordal metricperturbation boundunitarily invariant normpencilgeneralized eigenvaluegeneralized singular valueGrassmann matrixgeneralized singular subspacesmetrics on Grassmann manifold

Mathematics Subject Classification ID

Factorization of matrices (15A23) Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Matrix pencils (15A22)

Related Items (11)

Norms of certain matrices with applications to variations of the spectra of matrices and matrix pencils ⋮ On worst-case condition numbers of a multiple nonzero finite generalized singular value ⋮ On the perturbation bounds of g-inverses and oblique projections ⋮ Randomized generalized singular value decomposition ⋮ The Joint Bidiagonalization of a Matrix Pair with Inaccurate Inner Iterations ⋮ Sensitivity analysis for the generalized singular value decomposition ⋮ On Perturbations of Matrix Pencils with Real Spectra ⋮ Two perturbation bounds for singular values and eigenvalues ⋮ On the Explicit Expression of Chordal Metric between Generalized Singular Values of Grassmann Matrix Pairs with Applications ⋮ On perturbations of some constrained subspaces ⋮ The Analytic Solutions of a Class of Constrained Matrix Minimization and Maximization Problems with Applications

This page was built for publication: Bounds on Perturbations of Generalized Singular Values and of Associated Subspaces