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A perturbation bound for the generalized polar decomposition

https://doi.org/10.1007/bf01989752
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inferredcites →https://doi.org/10.1007/bf01932136openalex-snapshot
Perturbation bounds on the polar decomposition
inferredcites →https://doi.org/10.1137/0907079openalex-snapshot
Computing the Polar Decomposition—with Applications
inferredcites →https://doi.org/10.1137/1018071openalex-snapshot
Generalized Inverses (Theory And Applications) (Adi Ben-Israel and Thomas N. E. Greville)

What points at this work

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inferred← citeshttps://doi.org/10.1002/1099-1506(200007/08)7:5<337::aid-nla200>3.0.co;2-4openalex-snapshot
On the condition numbers associated with the polar factorization of a matrix
inferred← citeshttps://doi.org/10.1002/nla.463openalex-snapshot
Some remarks on the perturbation of polar decompositions for rectangular matrices
inferred← citeshttps://doi.org/10.1007/bf02510173openalex-snapshot
Relative perturbation bounds for the unitary polar factor
inferred← citeshttps://doi.org/10.1007/s00209-018-2044-yopenalex-snapshot
High-dimensional metric-measure limit of Stiefel and flag manifolds
inferred← citeshttps://doi.org/10.1007/s10092-008-0146-3openalex-snapshot
Variations for the Q- and H-factors in the polar decomposition
inferred← citeshttps://doi.org/10.1007/s10107-022-01900-wopenalex-snapshot
Trace ratio optimization with an application to multi-view learning
inferred← citeshttps://doi.org/10.1007/s10114-004-0478-0openalex-snapshot
Some New Perturbation Bounds for Subunitary Polar Factors
inferred← citeshttps://doi.org/10.1007/s10208-024-09687-2openalex-snapshot
A Theory of the NEPv Approach for Optimization on the Stiefel Manifold
inferred← citeshttps://doi.org/10.1007/s10255-004-0172-0openalex-snapshot
A Note on the Perturbation Bound of Q-factors
inferred← citeshttps://doi.org/10.1007/s10543-026-01124-wopenalex-snapshot
An NPDo approach for principal joint block diagonalization
inferred← citeshttps://doi.org/10.1007/s10957-025-02888-xopenalex-snapshot
An NEPv Approach for Orthogonal CCA with Matrix (2, 1)-norm Regularization with Application to Feature Selection
inferred← citeshttps://doi.org/10.1007/s11425-007-0099-zopenalex-snapshot
Combined perturbation bounds: II. Polar decompositions
inferred← citeshttps://doi.org/10.1007/s11464-008-0033-xopenalex-snapshot
Perturbation analysis for best approximation and the polar factor by subunitary matrices
inferred← citeshttps://doi.org/10.1007/s11464-020-0196-7openalex-snapshot
Some New Characterizations of Generalized Inverses
inferred← citeshttps://doi.org/10.1016/j.amc.2014.02.013openalex-snapshot
Some new perturbation bounds of generalized polar decomposition
inferred← citeshttps://doi.org/10.1016/j.amc.2018.07.023openalex-snapshot
New multiplicative perturbation bounds for the generalized polar decomposition
inferred← citeshttps://doi.org/10.1016/j.amc.2019.124987openalex-snapshot
An optimal perturbation bound for the partial isometry associated to the generalized polar decomposition
inferred← citeshttps://doi.org/10.1016/j.camwa.2009.10.009openalex-snapshot
Relative perturbation bounds for weighted polar decomposition
inferred← citeshttps://doi.org/10.1016/j.laa.2008.03.025openalex-snapshot
On the perturbation bound in unitarily invariant norms for subunitary polar factors
inferred← citeshttps://doi.org/10.1016/j.laa.2019.03.025openalex-snapshot
A remark on the partial isometry associated to the generalized polar decomposition of a matrix
inferred← citeshttps://doi.org/10.1016/j.laa.2026.01.021openalex-snapshot
Approximations of extremal eigenspace and orthonormal polar factor
inferred← citeshttps://doi.org/10.1023/b:bitn.0000039423.58964.e1openalex-snapshot
Some New Perturbation Bounds for the Generalized Polar Decomposition
inferred← citeshttps://doi.org/10.1080/03081087.2012.693921openalex-snapshot
New perturbation bounds for the subunitary polar factors
inferred← citeshttps://doi.org/10.1090/mcom/3925openalex-snapshot
Locally unitarily invariantizable NEPv and convergence analysis of SCF
inferred← citeshttps://doi.org/10.1090/proc/13252openalex-snapshot
The effect of perturbations of linear operators on their polar decomposition
inferred← citeshttps://doi.org/10.1137/s0895479801394623openalex-snapshot
Perturbation Bounds of Unitary and Subunitary Polar Factors
inferred← citeshttps://doi.org/10.1137/s0895479802413625openalex-snapshot
New Perturbation Bounds for Unitary Polar Factors
inferred← citeshttps://doi.org/10.1137/s0895479803437153openalex-snapshot
Relative Perturbation Bounds for Positive Polar Factors of Graded Matrices
inferred← citeshttps://doi.org/10.1137/s0895479893256359openalex-snapshot
New Perturbation Bounds for the Unitary Polar Factor
inferred← citeshttps://doi.org/10.1155/2012/219025openalex-snapshot
Relative and Absolute Perturbation Bounds for Weighted Polar Decomposition
inferred← citeshttps://doi.org/10.2298/fil1912977wopenalex-snapshot
The polar-like decomposition and its applications
inferred← citeshttps://doi.org/10.3934/naco.2023021openalex-snapshot
Variations of orthonormal basis matrices of subspaces
inferred← citeshttps://doi.org/10.48550/arxiv.1507.01063openalex-snapshot
High-dimensional metric-measure limit of Stiefel and Grassmann manifolds
inferred← citeshttps://doi.org/10.7153/mia-13-37openalex-snapshot
Multiplicative perturbation bounds for weighted unitary polar factor
inferred← citeshttps://doi.org/10.7153/mia-16-26openalex-snapshot
New perturbation bounds for nonnegative and positive polar factors
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