Higher Order Fréchet Derivatives of Matrix Functions and the Level-$2$ Condition Number. Higham, N. J. & Relton, S. D. SIAM J. Matrix Anal. Appl., 35(3):1019-1037, 2014.
doi  bibtex   
@article{hire14a,
  author =        {Nicholas J. Higham and Samuel D. Relton},
  journal =       {SIAM J. Matrix Anal. Appl.},
  number =        {3},
  pages =         {1019-1037},
  title =         {Higher Order {Fr\'{e}chet} Derivatives of Matrix
                   Functions and the Level-{$2$} Condition Number},
  volume =        {35},
  year =          {2014},
  doi =           {10.1137/130945259},
}

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