Weighted Polar Decomposition and WGL Partial Ordering of Rectangular Complex Matrices
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Publication:3624874
DOI10.1137/070700917zbMath1165.15013OpenAlexW2069202710MaRDI QIDQ3624874
Publication date: 30 April 2009
Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/070700917
error boundweighted polar decompositionweighted singular value decompositionrectangular complex matricessimultaneous weighted polar decompositionweighted partial isometric matrixWGL partial ordering
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Some new perturbation bounds of generalized polar decomposition ⋮ New perturbation bounds for the subunitary polar factors ⋮ Minimum-correction second-moment matching: theory, algorithms and applications ⋮ Relative and absolute perturbation bounds for weighted polar decomposition ⋮ Weighted \(UDV^*\)-decomposition and weighted spectral decomposition for rectangular matrices and their applications ⋮ A new partial order based on core partial order and star partial order ⋮ A flexible condition number for weighted linear least squares problem and its statistical estimation ⋮ New multiplicative perturbation bounds for the generalized polar decomposition ⋮ Relative perturbation bounds for weighted polar decomposition ⋮ Multiplicative perturbation bounds for weighted polar decomposition ⋮ An optimal perturbation bound for the partial isometry associated to the generalized polar decomposition ⋮ A note on an unusual type of generalized polar decomposition ⋮ The polar-like decomposition and its applications
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