Computing the distance between the linear matrix pencil and the completely positive cone
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[1] Katta G. Murty,et al. Some NP-complete problems in quadratic and nonlinear programming , 1987, Math. Program..
[2] Didier Henrion,et al. GloptiPoly 3: moments, optimization and semidefinite programming , 2007, Optim. Methods Softw..
[3] Jinyan Fan,et al. Interiors of completely positive cones , 2015, J. Glob. Optim..
[4] Immanuel M. Bomze,et al. Copositive optimization - Recent developments and applications , 2012, Eur. J. Oper. Res..
[5] Monique Laurent,et al. Semidefinite bounds for the stability number of a graph via sums of squares of polynomials , 2005, Math. Program..
[6] Markus Schweighofer,et al. On the complexity of Putinar's Positivstellensatz , 2005, J. Complex..
[7] J. Lasserre. Moments, Positive Polynomials And Their Applications , 2009 .
[8] Peter J. C. Dickinson,et al. On the computational complexity of membership problems for the completely positive cone and its dual , 2014, Comput. Optim. Appl..
[9] Jiawang Nie,et al. Linear optimization with cones of moments and nonnegative polynomials , 2013, Math. Program..
[10] Arkadi Nemirovski,et al. Lectures on modern convex optimization - analysis, algorithms, and engineering applications , 2001, MPS-SIAM series on optimization.
[11] P. Parrilo. Structured semidefinite programs and semialgebraic geometry methods in robustness and optimization , 2000 .
[12] Jiawang Nie,et al. The $${\mathcal {A}}$$A-Truncated $$K$$K-Moment Problem , 2012, Found. Comput. Math..
[13] M. Laurent. Sums of Squares, Moment Matrices and Optimization Over Polynomials , 2009 .
[14] Samuel Burer,et al. On the copositive representation of binary and continuous nonconvex quadratic programs , 2009, Math. Program..
[15] A. Berman,et al. Completely Positive Matrices , 2003 .
[16] Raul E. Curto,et al. Truncated K-moment problems in several variables , 2005 .
[17] Jiawang Nie,et al. The A-Truncated K -Moment Problem , 2012 .
[18] Mihai Putinar,et al. Positive polynomials on semi-algebraic sets , 1999 .
[19] Jiawang Nie,et al. Algebraic Degree of Polynomial Optimization , 2008, SIAM J. Optim..
[20] Jos F. Sturm,et al. A Matlab toolbox for optimization over symmetric cones , 1999 .
[21] Jean B. Lasserre,et al. New approximations for the cone of copositive matrices and its dual , 2010, Mathematical Programming.
[22] Jiawang Nie,et al. Optimality conditions and finite convergence of Lasserre’s hierarchy , 2012, Math. Program..
[23] Pablo A. Parrilo,et al. SOSTOOLS Version 3.00 Sum of Squares Optimization Toolbox for MATLAB , 2013, ArXiv.
[24] Etienne de Klerk,et al. Approximation of the Stability Number of a Graph via Copositive Programming , 2002, SIAM J. Optim..
[25] Mirjam Dür,et al. Copositive Programming – a Survey , 2010 .
[26] Peter J. C. Dickinson. The copositive cone, the completely positive cone and their generalisations , 2013 .
[27] Jiawang Nie,et al. The truncated moment problem via homogenization and flat extensions , 2012 .
[28] J. William Helton,et al. A Semidefinite Approach for Truncated K-Moment Problems , 2012, Foundations of Computational Mathematics.
[29] Etienne de Klerk,et al. Solving Standard Quadratic Optimization Problems via Linear, Semidefinite and Copositive Programming , 2002, J. Glob. Optim..
[30] Charles N. Delzell,et al. Positive Polynomials on Semialgebraic Sets , 2001 .
[31] Javier Peña,et al. Computing the Stability Number of a Graph Via Linear and Semidefinite Programming , 2007, SIAM J. Optim..
[32] A. Shapiro,et al. Duality and Optimality Conditions , 2000 .