The Canonical Generalized Polar Decomposition

DOI10.1137/090765018zbMath1222.15018OpenAlexW2025514573WikidataQ56998681 ScholiaQ56998681MaRDI QIDQ3053141

Christian Mehl, Françoise Tisseur, Nicholas J. Higham

Publication date: 4 November 2010

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: http://eprints.maths.manchester.ac.uk/1490/1/htm10.pdf

zbMATH Keywords

automorphismmatrix square rootpseudoinversebilinear formadjointmatrix iterationpartial isometryscalar productmatrix sign functiongeneralized polar decompositionsesquilinear formselfadjoint matrixcanonical polar decompositionorthosymmetric scalar product

Mathematics Subject Classification ID

Related Items (15)

Interpolation on symmetric spaces via the generalized polar decomposition ⋮ Symplectic analogs of polar decomposition and their applications to bosonic Gaussian channels ⋮ Stable and Efficient Computation of Generalized Polar Decompositions ⋮ A remark on the partial isometry associated to the generalized polar decomposition of a matrix ⋮ A Structure-Preserving Divide-and-Conquer Method for Pseudosymmetric Matrices ⋮ A new partial order based on core partial order and star partial order ⋮ On a reverse Heinz-Kato-Furuta inequality ⋮ Symmetric spaces and Lie triple systems in numerical analysis of differential equations ⋮ \(m\) th roots of \(H\)-selfadjoint matrices ⋮ High-Order Retractions on Matrix Manifolds Using Projected Polynomials ⋮ New multiplicative perturbation bounds for the generalized polar decomposition ⋮ A new polar decomposition in a scalar product space ⋮ Factorizations into normal matrices in indefinite inner product spaces ⋮ An optimal perturbation bound for the partial isometry associated to the generalized polar decomposition ⋮ The polar-like decomposition and its applications

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