Self-concordance is NP-hard

  title={Self-concordance is NP-hard},
  author={Lek-Heng Lim},
  journal={Journal of Global Optimization},
  • Lek-Heng Lim
  • Published 29 March 2013
  • Mathematics, Computer Science
  • Journal of Global Optimization
We show that deciding whether a convex function is self-concordant is in general an intractable problem. 
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Postscript about NP-hard problems
People have convinced me that I should use reducibility in Cook's sense as opposed to Karp's in the definition of NP-hard, and I think I have found a decent way to avoid the dile~mna between Cook's "Turing reducibilities" and Karp’s "many-one reducibles".