Perturbation Bounds of Unitary and Subunitary Polar Factors
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Publication:4785752
DOI10.1137/S0895479801394623zbMath1036.15017OpenAlexW2092886517MaRDI QIDQ4785752
Publication date: 5 January 2003
Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/s0895479801394623
Factorization of matrices (15A23) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45)
Related Items (20)
Some new perturbation bounds of generalized polar decomposition ⋮ Perturbation bounds for Mostow's decomposition and the bipolar decomposition ⋮ The effect of perturbations of linear operators on their polar decomposition ⋮ New perturbation bounds for the subunitary polar factors ⋮ On perturbation bounds for orthogonal projections ⋮ A remark on the partial isometry associated to the generalized polar decomposition of a matrix ⋮ Relative and absolute perturbation bounds for weighted polar decomposition ⋮ Trace ratio optimization with an application to multi-view learning ⋮ On the perturbation bound in unitarily invariant norms for subunitary polar factors ⋮ Combined perturbation bounds. II: Polar decompositions ⋮ High-Order Retractions on Matrix Manifolds Using Projected Polynomials ⋮ New multiplicative perturbation bounds for the generalized polar decomposition ⋮ A note on the perturbation bound of \(Q\)-factors ⋮ 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 ⋮ 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 ⋮ On model selection consistency of regularized M-estimators
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