The Matrix Sign Decomposition and Its Relation to the Polar Decomposition. Higham, N. J. Linear Algebra Appl., 212/213:3-20, 1994.
doi  bibtex   
@article{high94p,
  author =        {Nicholas J. Higham},
  journal =       {Linear Algebra Appl.},
  pages =         {3-20},
  title =         {The Matrix Sign Decomposition and Its Relation to the
                   Polar Decomposition},
  volume =        {212/213},
  year =          {1994},
  doi =           {10.1016/0024-3795(94)90393-X},
}

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