Multiplicative perturbation bounds for weighted polar decomposition

DOI10.1007/s10092-013-0099-zzbMath1315.15013OpenAlexW1996279796MaRDI QIDQ2017977

Lingsheng Meng, Xiaoli Hong, Bing Zheng

Publication date: 23 March 2015

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10092-013-0099-z

zbMATH Keywords

rangeHermitian positive definite matrixweighted polar decompositionweighted Frobenius normweighted unitary polar factormultiplicative perturbation boundgeneralized nonnegative polar factorweighted spectral norm

Mathematics Subject Classification ID

Factorization of matrices (15A23) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Positive matrices and their generalizations; cones of matrices (15B48) Hermitian, skew-Hermitian, and related matrices (15B57) Miscellaneous inequalities involving matrices (15A45)

Related Items (3)

The polar decomposition of the product of three operators ⋮ New multiplicative perturbation bounds for the generalized polar decomposition ⋮ An optimal perturbation bound for the partial isometry associated to the generalized polar decomposition

Cites Work

• Relative and absolute perturbation bounds for weighted polar decomposition
• Relative perturbation bounds for weighted polar decomposition
• Multiplicative perturbation bounds for weighted unitary polar factor
• Perturbation bounds for weighted polar decomposition in the weighted unitarily invariant norm
• Weighted Polar Decomposition and WGL Partial Ordering of Rectangular Complex Matrices
• Generalizing the Singular Value Decomposition
• Relative Perturbation Theory: II. Eigenspace and Singular Subspace Variations
• New perturbation bounds for nonnegative and positive polar factors
• The Rotation of Eigenvectors by a Perturbation. III
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