On the perturbation bound in unitarily invariant norms for subunitary polar factors
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Publication:929490
DOI10.1016/j.laa.2008.03.025zbMath1147.15022OpenAlexW2162044834MaRDI QIDQ929490
Publication date: 17 June 2008
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2008.03.025
perturbationsingular value decompositionunitarily invariant normgeneralized polar decompositionsubunitary polar factor
Factorization of matrices (15A23) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45)
Related Items (4)
Some new perturbation bounds of generalized polar decomposition ⋮ The effect of perturbations of linear operators on their polar decomposition ⋮ Almost commuting matrices, localized Wannier functions, and the quantum Hall effect ⋮ Unnamed Item
Cites Work
- Unnamed Item
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- Computing the Polar Decomposition—with Applications
- Variation of the Unitary Part of a Matrix
- New Perturbation Bounds for the Unitary Polar Factor
- New Perturbation Bounds for Unitary Polar Factors
- Perturbation Bounds of Unitary and Subunitary Polar Factors
- On the condition numbers associated with the polar factorization of a matrix
- Polar Decomposition and Matrix Sign Function Condition Estimates
- Perturbation Bounds for the Polar Decomposition
- Relative Perturbation Bounds for Positive Polar Factors of Graded Matrices
- The Rotation of Eigenvectors by a Perturbation. III
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