Variations for the \(Q\)- and \(H\)-factors in the polar decomposition

DOI10.1007/s10092-008-0146-3zbMath1175.65051OpenAlexW2058040513MaRDI QIDQ734107

Wen Li, Xiao Shan Chen

Publication date: 19 October 2009

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10092-008-0146-3

zbMATH Keywords

singular value decompositionFrobenius normpolar decompositionperturbation boundsHermitian positive semidefinite polar factorssubunitary polar factors

Mathematics Subject Classification ID

Factorization of matrices (15A23) Numerical solutions to overdetermined systems, pseudoinverses (65F20)

Related Items (8)

Some new perturbation bounds of generalized polar decomposition ⋮ New perturbation bounds for the subunitary polar factors ⋮ Relative and absolute perturbation bounds for weighted polar decomposition ⋮ The polar decomposition of the product of three operators ⋮ New multiplicative perturbation bounds for the generalized polar decomposition ⋮ Relative perturbation bounds for weighted polar decomposition ⋮ Unnamed Item ⋮ An optimal perturbation bound for the partial isometry associated to the generalized polar decomposition

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