Combined perturbation bounds. II: Polar decompositions

DOI10.1007/s11425-007-0099-zzbMath1129.65025OpenAlexW2203791843MaRDI QIDQ2464302

Wen Li, Sun, Weiwei

Publication date: 19 December 2007

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-007-0099-z

zbMATH Keywords

decompositionperturbationnumerical examplespolar decompositionperturbation boundssingular value

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20)

Related Items (3)

On perturbation bounds for orthogonal projections ⋮ Relative perturbation bounds for eigenpairs of diagonalizable matrices ⋮ Some refined bounds for the perturbation of the orthogonal projection and the generalized inverse

Cites Work

• A perturbation bound for the generalized polar decomposition
• Perturbation bounds on the polar decomposition
• Some new perturbation bounds for the generalized polar decomposition
• Computing the Polar Decomposition—with Applications
• Variation of the Unitary Part of a Matrix
• New Perturbation Bounds for the Unitary Polar Factor
• Perturbation Analyses for the QR Factorization
• 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
• Perturbation Bounds for the Polar Decomposition
• Combined Perturbation Bounds: I. Eigensystems and Singular Value Decompositions
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