An Extension of Sums of Squares Relaxations to Polynomial Optimization Problems Over Symmetric Cones

@article{Kojima2007AnEO,
  title={An Extension of Sums of Squares Relaxations to Polynomial Optimization Problems Over Symmetric Cones},
  author={Masakazu Kojima and Masakazu Muramatsu},
  journal={Math. Program.},
  year={2007},
  volume={110},
  pages={315-336}
}
This paper is based on a recent work by Kojima which extended sums of squares relaxations of polynomial optimization problems to polynomial semidefinite programs. Let E and E+ be a finite dimensional real vector space and a symmetric cone embedded in E ; examples of E and E+ include a pair of the N -dimensional Euclidean space and its nonnegative orthant, a… CONTINUE READING