Sensitivity analysis for the generalized singular value decomposition

DOI10.1002/nla.1829zbMath1289.15041OpenAlexW2154195460MaRDI QIDQ5397308

Xiao Chen Shan, Wen Li

Publication date: 19 February 2014

Published in: Numerical Linear Algebra with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nla.1829

zbMATH Keywords

sensitivity analysisgeneralized singular value decompositionpartial derivativespencilsingular matrix set

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Matrices over function rings in one or more variables (15A54) Matrix pencils (15A22)

Related Items (2)

On worst-case condition numbers of a multiple nonzero finite generalized singular value ⋮ A note on simple nonzero finite generalized singular values

Cites Work

• Multiple eigenvalue sensitivity analysis
• Perturbation analysis of generalized singular subspaces
• On the sensitivity of multiple eigenvalues of nonsymmetric matrix pencils.
• Condition Number and Backward Error for the Generalized Singular Value Decomposition
• A Note on Backward Error Analysis of the Generalized Singular Value Decomposition
• Towards a Generalized Singular Value Decomposition
• Bounds on Perturbations of Generalized Singular Values and of Associated Subspaces
• Generalizing the Singular Value Decomposition
• Computing the Generalized Singular Value Decomposition
• Perturbation analysis for the eigenproblem of periodic matrix pairs
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