A lift-and-project cutting plane algorithm for mixed 0-1 programs
Mathematical Programming: Series A and B
Approximation of the Stability Number of a Graph via Copositive Programming
SIAM Journal on Optimization
An Explicit Equivalent Positive Semidefinite Program for Nonlinear 0-1 Programs
SIAM Journal on Optimization
Solving Standard Quadratic Optimization Problems via Linear, Semidefinite and Copositive Programming
Journal of Global Optimization
Semidefinite Programming vs. LP Relaxations for Polynomial Programming
Mathematics of Operations Research
On the Relation Between Option and Stock Prices: A Convex Optimization Approach
Operations Research
On cones of nonnegative quadratic functions
Mathematics of Operations Research
SDPARA: semiDefinite programming algorithm paRAllel version
Parallel Computing
LMI Approximations for Cones of Positive Semidefinite Forms
SIAM Journal on Optimization
Minimizing Polynomials via Sum of Squares over the Gradient Ideal
Mathematical Programming: Series A and B
Semidefinite representations for finite varieties
Mathematical Programming: Series A and B
Large-scale semidefinite programming via a saddle point Mirror-Prox algorithm
Mathematical Programming: Series A and B
Semidefinite bounds for the stability number of a graph via sums of squares of polynomials
IPCO'05 Proceedings of the 11th international conference on Integer Programming and Combinatorial Optimization
An iterative scheme for valid polynomial inequality generation in binary polynomial programming
IPCO'11 Proceedings of the 15th international conference on Integer programming and combinatoral optimization
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We propose a novel approach for solving polynomial programs over compact domains with equality constraints. By means of a generic transformation, we show that existing solution schemes for the, typically simpler, problem without equalities can be used to address the problem with equalities.