New perturbation bounds for the subunitary polar factors
DOI10.1080/03081087.2012.693921zbMath1266.15014OpenAlexW1985076848MaRDI QIDQ5300040
Pingping Zhang, Hanyu Li, Hu Yang
Publication date: 24 June 2013
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03081087.2012.693921
polar decompositionperturbation boundsubunitary polar factorweighted polar decompositionweighted unitary polar factor
Theory of matrix inversion and generalized inverses (15A09) Eigenvalues, singular values, and eigenvectors (15A18) Miscellaneous inequalities involving matrices (15A45) Numerical computation of matrix norms, conditioning, scaling (65F35)
Cites Work
- Relative perturbation bounds for the unitary polar factor
- A perturbation bound for the generalized polar decomposition
- Variations for the \(Q\)- and \(H\)-factors in the polar decomposition
- Perturbation bounds for weighted polar decomposition in the weighted unitarily invariant norm
- Some remarks on the perturbation of polar decompositions for rectangular matrices
- Weighted Polar Decomposition and WGL Partial Ordering of Rectangular Complex Matrices
- New Perturbation Bounds for the Unitary Polar Factor
- New Perturbation Bounds for Unitary Polar Factors
- Perturbation Bounds of Unitary and Subunitary Polar Factors
- Perturbation Bounds for the Polar Decomposition
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