Exploiting equalities in polynomial programming
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[1] Javier Peña,et al. LMI Approximations for Cones of Positive Semidefinite Forms , 2006, SIAM J. Optim..
[2] Claus Scheiderer,et al. Sums of squares on real algebraic surfaces , 2006 .
[3] David A. Cox,et al. Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra, 3/e (Undergraduate Texts in Mathematics) , 2007 .
[4] Jos F. Sturm,et al. A Matlab toolbox for optimization over symmetric cones , 1999 .
[5] K. Schmüdgen. TheK-moment problem for compact semi-algebraic sets , 1991 .
[6] Ioana Popescu,et al. On the Relation Between Option and Stock Prices: A Convex Optimization Approach , 2002, Oper. Res..
[7] Etienne de Klerk,et al. Solving Standard Quadratic Optimization Problems via Linear, Semidefinite and Copositive Programming , 2002, J. Glob. Optim..
[8] Egon Balas,et al. A lift-and-project cutting plane algorithm for mixed 0–1 programs , 1993, Math. Program..
[9] P. Parrilo. Structured semidefinite programs and semialgebraic geometry methods in robustness and optimization , 2000 .
[10] Jean B. Lasserre,et al. Semidefinite Programming vs. LP Relaxations for Polynomial Programming , 2002, Math. Oper. Res..
[11] Monique Laurent,et al. Semidefinite bounds for the stability number of a graph via sums of squares of polynomials , 2005, Math. Program..
[12] K. Schmüdgen. TheK-moment problem for compact semi-algebraic sets , 1991 .
[13] Kim-Chuan Toh,et al. SDPT3 -- A Matlab Software Package for Semidefinite Programming , 1996 .
[14] N. Z. Shor. Class of global minimum bounds of polynomial functions , 1987 .
[15] Masakazu Kojima,et al. SDPARA: SemiDefinite Programming Algorithm paRAllel version , 2003, Parallel Comput..
[16] P. Parrilo,et al. Detecting multipartite entanglement , 2004, quant-ph/0407143.
[17] Shuzhong Zhang,et al. On Cones of Nonnegative Quadratic Functions , 2003, Math. Oper. Res..
[18] Y. Nesterov. Structure of non-negative polynomials and optimization problems , 1997 .
[19] Monique Laurent,et al. Semidefinite representations for finite varieties , 2007, Math. Program..
[20] Pablo A. Parrilo,et al. Minimizing Polynomial Functions , 2001, Algorithmic and Quantitative Aspects of Real Algebraic Geometry in Mathematics and Computer Science.
[21] Etienne de Klerk,et al. Approximation of the Stability Number of a Graph via Copositive Programming , 2002, SIAM J. Optim..
[22] D. Handelman. Representing polynomials by positive linear functions on compact convex polyhedra. , 1988 .
[23] Paul Van Dooren,et al. Convex optimization over positive polynomials and filter design , 2000 .
[24] J. Lasserre. Bounds on measures satisfying moment conditions , 2002 .
[25] Renato D. C. Monteiro,et al. Large-scale semidefinite programming via a saddle point Mirror-Prox algorithm , 2007, Math. Program..
[26] Pablo A. Parrilo,et al. Semidefinite programming relaxations for semialgebraic problems , 2003, Math. Program..
[27] James Demmel,et al. Minimizing Polynomials via Sum of Squares over the Gradient Ideal , 2004, Math. Program..
[28] P. Parrilo. An explicit construction of distinguished representations of polynomials nonnegative over finite sets , 2002 .
[29] Jean B. Lasserre,et al. An Explicit Equivalent Positive Semidefinite Program for Nonlinear 0-1 Programs , 2002, SIAM J. Optim..