Detecting global optimality and extracting solutions in GloptiPoly

[1]  P. Parrilo,et al.  Symmetry groups, semidefinite programs, and sums of squares , 2002, math/0211450.

[2]  D. Jibetean,et al.  Algebraic Optimization with Applications in System Theory , 2003 .

[3]  Pablo A. Parrilo,et al.  Semidefinite programming relaxations for semialgebraic problems , 2003, Math. Program..

[4]  Shuzhong Zhang,et al.  On Cones of Nonnegative Quadratic Functions , 2003, Math. Oper. Res..

[5]  Didier Henrion,et al.  GloptiPoly: global optimization over polynomials with Matlab and SeDuMi , 2002, Proceedings of the 41st IEEE Conference on Decision and Control, 2002..

[6]  Jean B. Lasserre,et al.  An Explicit Equivalent Positive Semidefinite Program for Nonlinear 0-1 Programs , 2002, SIAM J. Optim..

[7]  P. Parrilo An explicit construction of distinguished representations of polynomials nonnegative over finite sets , 2002 .

[8]  Peter J Seiler,et al.  SOSTOOLS: Sum of squares optimization toolbox for MATLAB , 2002 .

[9]  Jean B. Lasserre,et al.  Polynomials nonnegative on a grid and discrete optimization , 2001 .

[10]  Jean B. Lasserre,et al.  Global Optimization with Polynomials and the Problem of Moments , 2000, SIAM J. Optim..

[11]  Graziano Chesi,et al.  An LMI-based approach for characterizing the solution set of polynomial systems , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

[12]  R. Curto,et al.  The truncated complex -moment problem , 2000 .

[13]  A. Fialkow,et al.  THE TRUNCATED COMPLEX K-MOMENT PROBLEM , 2000 .

[14]  Robert M. Corless,et al.  A reordered Schur factorization method for zero-dimensional polynomial systems with multiple roots , 1997, ISSAC.

[15]  Dinesh Manocha,et al.  SOLVING SYSTEMS OF POLYNOMIAL EQUATIONS , 2002 .

[16]  R. Baker Kearfott,et al.  Some tests of generalized bisection , 1987, TOMS.

[17]  H. Landau Moments in mathematics , 1987 .

[18]  C. Berg The multidimensional moment problem and semi-groups , 1987 .

[19]  G. Golub Matrix computations , 1983 .