Combined Perturbation Bounds: I. Eigensystems and Singular Value Decompositions

DOI10.1137/060648969zbMath1139.15008OpenAlexW2005393749MaRDI QIDQ5301197

Sun, Weiwei, Wen Li

Publication date: 29 April 2008

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

Full work available at URL: https://doi.org/10.1137/060648969

zbMATH Keywords

eigenvaluesHermitian matrixsingular subspaceHoffman-Wielandt theorem

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42)

Related Items (7)

Perturbation bounds for eigenvalues of diagonalizable matrices and singular values ⋮ On perturbation bounds for orthogonal projections ⋮ On the variation of the spectrum of a Hermitian matrix ⋮ Multiplicative perturbation bounds for spectral and singular value decompositions ⋮ Combined perturbation bounds. II: Polar decompositions ⋮ Relative perturbation bounds for eigenpairs of diagonalizable matrices ⋮ Some refined bounds for the perturbation of the orthogonal projection and the generalized inverse

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