Optimal Frobenius-norm perturbation bounds for subunitary and positive polar factors are derived from convex analysis, along with strengthened Lee, AM-GM, and Cauchy-Schwarz inequalities.
Barrlund, Perturbation bounds on the polar decomposition, BIT 30 (1989) 101–113
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Sharp perturbation bounds on the Frobenius norm of subunitary and positive polar factor
Optimal Frobenius-norm perturbation bounds for subunitary and positive polar factors are derived from convex analysis, along with strengthened Lee, AM-GM, and Cauchy-Schwarz inequalities.