Numerical Behaviour of Higham's Scaled Method for Polar Decomposition

@article{Kielbasinski2003NumericalBO,
  title={Numerical Behaviour of Higham's Scaled Method for Polar Decomposition},
  author={Andrzej Kielbasinski and Krystyna Zietak},
  journal={Numerical Algorithms},
  year={2003},
  volume={32},
  pages={105-140}
}
We present a rounding error analysis of Higham's scaled method for computing the polar decomposition of a nonsingular complex matrix. Under certain natural conditions we prove that the method computes acceptable polar factors. 

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