Bibliography
- Ahmadi, A. A.; Dibek, C. and Hall, G. (2023). Sums of Separable and Quadratic Polynomials. Mathematics of Operations Research 48, 1316–1343. ↩1
- Barak, B. and Steurer, D. (2016). Proofs, Beliefs, and Algorithms through the Lens of Sum-of-Squares. Lecture notes. ↩1
- Cox, D. A.; Little, J. and O'Shea, D. (2015). Ideals, Varieties, and Algorithms (Springer). ↩1
- Fawzi, H. (2018). On Representing the Positive Semidefinite Cone Using the Second-Order Cone. Mathematical Programming, 1–10. ↩1
- Goemans, M. X. and Williamson, D. P. (1995). Improved Approximation Algorithms for Maximum Cut and Satisfiability Problems Using Semidefinite Programming. Journal of the ACM 42, 1115–1145. ↩1
- Hesse, R. (1973). A Heuristic Search Procedure for Estimating a Global Solution of Nonconvex Programming Problems. Operations Research 21, 1267–1280. ↩1
- Kapelevich, L.; Coey, C. and Vielma, J. P. (2023). Sum of Squares Generalizations for Conic Sets. Mathematical Programming 199, 1417–1429. ↩1
- Murty, K. G. and Kabadi, S. N. (1987). Some NP-complete Problems in Quadratic and Nonlinear Programming. Mathematical Programming: Series A and B 39, 117–129. ↩1
- Papp, D. and Yıldız, S. (2017). Sum-of-Squares Optimization without Semidefinite Programming. ArXiv e-prints, arXiv:1712.01792 [math.OC]. ↩1
- Parrilo, P. A. (2003). Semidefinite Programming Relaxations for Semialgebraic Problems. Mathematical programming 96, 293–320. ↩1