References
- Akhiezer , N. I. 1965 . The Classical Moment Problem , New York : Hafner .
- Akhiezer , N. I. and Krein , M. G. 1962 . Some questions in the theory of moments vol.2 Translations of Mathematical Monographs , Providence, RI : American Mathematical Society .
- Henrion , D. and Lasserre , J. B. 2003 . GloptiPoly: global optimization over polynomials with Matlab and SeDuMi . ACM Trans. Math. Software , 29 ( 2 ) : 165 – 194 .
- Henrion , D. and Lasserre , J. B. 2003 . “ Solving global optimization problems over polynomials with GloptiPoly 2.1 ” . In Global Optimization and Constraint Satisfaction , Edited by: Bliek , C. , Jermann , C. and Neumaier , A. Vol. 2861 , 45 – 58 . Berlin : Springer . Lecture Notes on Computer Science
- Jibetean , D. and de Klerk , E. 2006 . Global optimization of rational functions: a semidefinite programming approach . Math. Program. , 106 : 93 – 109 .
- Landau , H. J. Proceedings of Symposium on Applied Mathematics 37 . Providence, RI. Moments in mathematics , Edited by: Landau , H. J. American Mathematical Society .
- Lasserre , J. B. 2001 . Global optimization with polynomials and the problem of moments . SIAM J. Optim. , 11 ( 3 ) : 796 – 817 .
- Lasserre , J. B. 2006 . Convergent SDP relaxations in polynomial optimization with sparsity . SIAM J. Optim. , 17 ( 3 ) : 822 – 843 .
- Lasserre , J. B. 2008 . A semidefinite programming approach to the generalized problem of moments . Math. Program. , 112 : 65 – 92 .
- Lasserre , J. B. , Henrion , D. , Prieur , C. and Trélat , E. 2008 . Nonlinear optimal control via occupation measures and LMI relaxations . SIAM J. Control Optim. , 47 ( 4 ) : 1643 – 1666 .
- Laurent , M. 2009 . “ Sums of squares moment matrices optimization over polynomials ” . In Emerging Applications of Algebraic Geometry , Edited by: Putinar , M. and Sullivant , S. Vol. 149 , 157 – 270 . Berlin : Springer . IMA Volumes in Mathematics and its Applications
- Löfberg , J. Proceedings of the IEEE Symposium on Computer-Aided Control System Design (CACSD) . Taipei, Taiwan. YALMIP: a toolbox for modeling and optimization in Matlab , Available at http://control.ee.ethz.ch/~joloef/yalmip.php
- Sturm , J. F. 2006 . SeDuMi version 1.1R3 , Available at http://sedumi.ie.lehigh.edu
- Waki , H. , Kim , S. , Kojima , M. and Muramatsu , M. 2008 . SparsePOP: a sparse semidefinite programming relaxation of polynomial optimization problems . ACM Trans. Math. Software , 35 ( 2 ) : 15:1 – 15:13 .