Polar Decomposition and Matrix Sign Function Condition Estimates

DOI10.1137/0912027zbMath0725.65047OpenAlexW1967351325MaRDI QIDQ5203575

Charles S. Kenney, Alan J. Laub

Publication date: 1991

Published in: SIAM Journal on Scientific and Statistical Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0912027

zbMATH Keywords

polar decompositioncondition numbersFréchet derivativesmatrix sign functionsconditioning of matrix algorithms

Mathematics Subject Classification ID

Related Items (16)

Some new perturbation bounds of generalized polar decomposition ⋮ The matrix sign decomposition and its relation to the polar decomposition ⋮ A geometrically nonlinear Cosserat shell model for orientable and non-orientable surfaces: discretization with geometric finite elements ⋮ Iterative Computation of the Fréchet Derivative of the Polar Decomposition ⋮ Perturbation bounds on the polar decomposition ⋮ On the perturbation bound in unitarily invariant norms for subunitary polar factors ⋮ Relative perturbation bounds for the unitary polar factor ⋮ The iterative methods for computing the polar decomposition of rank-deficient matrix ⋮ New multiplicative perturbation bounds for the generalized polar decomposition ⋮ Some new perturbation bounds for subunitary polar factors ⋮ Perturbation of the matrix sign function ⋮ Variations for the \(Q\)- and \(H\)-factors in the polar decomposition ⋮ Perturbation analysis of the orthogonal Procrustes problem ⋮ Matrix factorizations and their perturbations ⋮ A Formula for the Fréchet Derivative of a Generalized Matrix Function ⋮ Computation of the structured stability radius via matrix sign function

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