论文信息 - Perturbation bounds on the polar decomposition

Perturbation bounds on the polar decomposition

The polar decomposition of ann ×n-matrixA takes the formA=MH whereM is orthogonal andH is symmetric and positive semidefinite. This paper presents strict bounds, (with no order terms), on the perturbationsΔM,ΔH ofM andH respectively, whenA is perturbed byΔA. The bounds onΔM can also be applied to the orthogonal Procrustes problem.

Anders Barrlund | A. Barrlund

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