New Perturbation Bounds for Unitary Polar Factors

DOI10.1137/S0895479802413625zbMath1050.65025OpenAlexW2107901290MaRDI QIDQ4443830

Sun, Weiwei, Wen Li

Publication date: 19 January 2004

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

Full work available at URL: https://doi.org/10.1137/s0895479802413625

zbMATH Keywords

singular value decompositionFrobenius normpolar decompositionperturbation bound

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Miscellaneous inequalities involving matrices (15A45) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (16)

Some new perturbation bounds of generalized polar decomposition ⋮ Perturbation bounds for Mostow's decomposition and the bipolar decomposition ⋮ New perturbation bounds for the subunitary polar factors ⋮ Relative and absolute perturbation bounds for weighted polar decomposition ⋮ Iterative Computation of the Fréchet Derivative of the Polar Decomposition ⋮ On the perturbation bound in unitarily invariant norms for subunitary polar factors ⋮ Combined perturbation bounds. II: Polar decompositions ⋮ The iterative methods for computing the polar decomposition of rank-deficient matrix ⋮ New multiplicative perturbation bounds for the generalized polar decomposition ⋮ Perturbation bounds for weighted polar decomposition in the weighted unitarily invariant norm ⋮ Relative perturbation bounds for weighted polar decomposition ⋮ Some new perturbation bounds for subunitary polar factors ⋮ Unnamed Item ⋮ An optimal perturbation bound for the partial isometry associated to the generalized polar decomposition ⋮ Perturbation analysis for best approximation and the polar factor by subunitary matrices ⋮ Variations for the \(Q\)- and \(H\)-factors in the polar decomposition

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