NP-hardness of deciding convexity of quartic polynomials and related problems

Amir Ali Ahmadi, Alexander Olshevsky, Pablo A. Parrilo, John N. Tsitsiklis. NP-hardness of deciding convexity of quartic polynomials and related problems. Math. Program., 137(1-2):453-476, 2013. [doi]

@article{AhmadiOPT13,
  title = {NP-hardness of deciding convexity of quartic polynomials and related problems},
  author = {Amir Ali Ahmadi and Alexander Olshevsky and Pablo A. Parrilo and John N. Tsitsiklis},
  year = {2013},
  doi = {10.1007/s10107-011-0499-2},
  url = {http://dx.doi.org/10.1007/s10107-011-0499-2},
  researchr = {https://researchr.org/publication/AhmadiOPT13},
  cites = {0},
  citedby = {0},
  journal = {Math. Program.},
  volume = {137},
  number = {1-2},
  pages = {453-476},
}