Computing the Fréchet Derivative of the Matrix Logarithm and Estimating the Condition Number. Al-Mohy, A. H., Higham, N. J., & Relton, S. D. SIAM J. Sci. Comput., 35(4):C394-C410, 2013.
doi  bibtex   
@article{ahr13,
  author =        {Awad H. Al-Mohy and Nicholas J. Higham and
                   Samuel D. Relton},
  journal =       {SIAM J. Sci. Comput.},
  number =        {4},
  pages =         {C394-C410},
  title =         {Computing the {Fr{\'e}chet} Derivative of the Matrix
                   Logarithm and Estimating the Condition Number},
  volume =        {35},
  year =          {2013},
  doi =           {10.1137/120885991},
}

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