-
2
-
-
33846667310
-
Reduction of symmetric semidefinite programs using the regular _-representation
-
de Klerk, E., Pasechnik, D. V., Schrijver, A.: Reduction of symmetric semidefinite programs using the regular _-representation. Math. Program. 109, 613-624 (2007)
-
(2007)
Math. Program
, vol.109
, pp. 613-624
-
-
de Klerk, E.1
Pasechnik, D.V.2
Schrijver, A.3
-
3
-
-
2942659750
-
Symmetry group, semidefinite programs and sums of squares
-
Gaterman, K., Parrilo, P.: Symmetry group, semidefinite programs and sums of squares. J. Pure Appl. Alg. 192, 95-128 (2004)
-
(2004)
J. Pure Appl. Alg
, vol.192
, pp. 95-128
-
-
Gaterman, K.1
Parrilo, P.2
-
4
-
-
84893574327
-
Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming
-
Goemans, M. X., Williamson, D. P.: Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming. J. Assoc. Comput. Mach. 42(6), 1115-1145 (1995)
-
(1995)
J. Assoc. Comput. Mach
, vol.42
, Issue.6
, pp. 1115-1145
-
-
Goemans, M.X.1
Williamson, D.P.2
-
5
-
-
0004236492
-
-
Johns Hopkins University Press, Baltimore, MD, third edition
-
Golub, G. H., Van Loan, C. F.: Matrix Computations. Johns Hopkins University Press, Baltimore, MD, third edition (1996)
-
(1996)
Matrix Computations
-
-
Golub, G.H.1
Van Loan, C.F.2
-
6
-
-
0003957164
-
-
Springer-Verlag, Berlin, second edition
-
Grötschel, M., Lovász, L., Schrijver, A.: Geometric Algorithms and Combinatorial Optimization. Springer-Verlag, Berlin, second edition (1993)
-
(1993)
Geometric Algorithms and Combinatorial Optimization
-
-
Grötschel, M.1
Lovász, L.2
Schrijver, A.3
-
7
-
-
68949115889
-
Gloptipoly 3: Moments, optimization and semidefinite programming
-
Henrion, D., Lasserre, J. B., Lofberg, Y.: Gloptipoly 3: moments, optimization and semidefinite programming. Optim. Methods and Software 24, 761-779 (2009)
-
(2009)
Optim. Methods and Software
, vol.24
, pp. 761-779
-
-
Henrion, D.1
Lasserre, J.B.2
Lofberg, Y.3
-
9
-
-
51249193322
-
Anneaux préordonnés
-
Krivine, J. L.: Anneaux préordonnés. J. Anal. Math. 12, 307-326 (1964)
-
(1964)
J. Anal. Math
, vol.12
, pp. 307-326
-
-
Krivine, J.L.1
-
10
-
-
84857636138
-
Semidefinite programming for min-max problems and games
-
Laraki, R., Lasserre, J. B.: Semidefinite programming for min-max problems and games. Math. Program. 1-28 http: //dx. doi. org/10. 1007/s10107-010-0353-y
-
Math. Program
, pp. 1-28
-
-
Laraki, R.1
Lasserre, J.B.2
-
11
-
-
0035238864
-
Global optimization with polynomials and the problem of moments
-
Lasserre, J. B.: Global optimization with polynomials and the problem of moments. SIAM J. Optim. 11, 796-817 (2001)
-
(2001)
SIAM J. Optim
, vol.11
, pp. 796-817
-
-
Lasserre, J.B.1
-
12
-
-
18744415993
-
Polynomial programming: LP-relaxations also converge
-
Lasserre, J. B.: Polynomial programming: LP-relaxations also converge. SIAM J. Optim. 15, 383-393 (2004)
-
(2004)
SIAM J. Optim
, vol.15
, pp. 383-393
-
-
Lasserre, J.B.1
-
13
-
-
34547492080
-
Convergent SDP-relaxations in polynomial optimization with sparsity
-
Lasserre, J. B.: Convergent SDP-relaxations in polynomial optimization with sparsity. SIAM J. Optim. 17, 822-843 (2006)
-
(2006)
SIAM J. Optim
, vol.17
, pp. 822-843
-
-
Lasserre, J.B.1
-
15
-
-
70450219137
-
Convexity in semi-algebraic geometry and polynomial optimization
-
Lasserre, J. B.: Convexity in semi-algebraic geometry and polynomial optimization. SIAM J. Optim. 19, 1995-2014 (2009)
-
(2009)
SIAM J. Optim
, vol.19
, pp. 1995-2014
-
-
Lasserre, J.B.1
-
16
-
-
0141517272
-
A comparison of the Sherali-Adams, Lovász-Schrijver and Lasserre relaxations for 0-1 programming
-
Laurent, M.: A comparison of the Sherali-Adams, Lovász-Schrijver and Lasserre relaxations for 0-1 programming. Math. Oper. Res. 28, 470-496 (2003)
-
(2003)
Math. Oper. Res
, vol.28
, pp. 470-496
-
-
Laurent, M.1
-
17
-
-
33745858905
-
Semidefinite programming and integer programming
-
Aardal, K., Nemhauser, G., Weismantel, R. (eds.), Elsevier
-
Laurent, M., Rendl, F.: Semidefinite programming and integer programming. In: Aardal, K., Nemhauser, G., Weismantel, R. (eds.) Handbook on Discrete Optimization, Elsevier (2005)
-
(2005)
Handbook on Discrete Optimization
-
-
Laurent, M.1
Rendl, F.2
-
18
-
-
1542266056
-
Semidefinite programming relaxations for semialgebraic problems
-
Parrilo, P. A.: Semidefinite programming relaxations for semialgebraic problems. Math. Program. Ser. B 96, 293-320 (2003)
-
(2003)
Math. Program. Ser. B
, vol.96
, pp. 293-320
-
-
Parrilo, P.A.1
-
20
-
-
0036990890
-
Introducing SOSTOOLS: A general purpose sum of squares programming solver
-
Las Vegas
-
Prajna, S., Papachristodoulou A., Parrilo, P.: Introducing SOSTOOLS: a general purpose sum of squares programming solver. Proceedings of the 41st IEEE Conference on Decison and Control, Las Vegas, pp. 741-746 (2002)
-
(2002)
Proceedings of the 41st IEEE Conference on Decison and Control
, pp. 741-746
-
-
Prajna, S.1
Papachristodoulou, A.2
Parrilo, P.3
-
21
-
-
0000135301
-
Positive polynomials on compact semi-algebraic sets
-
Putinar, M.: Positive polynomials on compact semi-algebraic sets. Indiana Univ. Math. J. 42, 969-984 (1993)
-
(1993)
Indiana Univ. Math. J
, vol.42
, pp. 969-984
-
-
Putinar, M.1
-
22
-
-
52449148478
-
An exact duality theory for semidefinite programming and its complexity implications
-
Ser. B
-
Ramana, M. V.: An exact duality theory for semidefinite programming and its complexity implications. Math. Program., 77(2, Ser. B), 129-162 (1997)
-
(1997)
Math. Program
, vol.77
, Issue.2
, pp. 129-162
-
-
Ramana, M.V.1
-
23
-
-
0001250675
-
The K-moment problem for compact semi-algebraic sets
-
Schmüdgen, K.: The K-moment problem for compact semi-algebraic sets. Math. Ann. 289, 203-206 (1991)
-
(1991)
Math. Ann
, vol.289
, pp. 203-206
-
-
Schmüdgen, K.1
-
24
-
-
23844493105
-
Optimization of polynomials on compact semialgebraic sets
-
Schweighofer, M.: Optimization of polynomials on compact semialgebraic sets. SIAM J. Optim. 15, 805-825 (2005)
-
(2005)
SIAM J. Optim
, vol.15
, pp. 805-825
-
-
Schweighofer, M.1
-
25
-
-
54149086891
-
Symmetry in semidefinite programs
-
Vallentin, F.: Symmetry in semidefinite programs. Linear Alg. Appl. 430, 360-369 (2009)
-
(2009)
Linear Alg. Appl
, vol.430
, pp. 360-369
-
-
Vallentin, F.1
-
26
-
-
33847158335
-
Sums of squares and semidefinite programming relaxations for polynomial optimization problems witth structured sparsity
-
Waki, S., Kim, S., Kojima, M., Maramatsu, M.: Sums of squares and semidefinite programming relaxations for polynomial optimization problems witth structured sparsity. SIAMJ. Optim. 17, 218-242 (2006)
-
(2006)
SIAMJ. Optim
, vol.17
, pp. 218-242
-
-
Waki, S.1
Kim, S.2
Kojima, M.3
Maramatsu, M.4
-
27
-
-
48849097802
-
SparsePOP: A Sparse Semidefinite Programming Relaxation of Polynomial Optimization Problems
-
Waki, H., Kim, S., Kojima, M., Muramatsu, M., Sugimoto, H.: SparsePOP: a Sparse Semidefinite Programming Relaxation of Polynomial Optimization Problems. ACM Trans. Math. Software 35(2), 15: 1-15: 13 (2008)
-
(2008)
ACM Trans. Math. Software
, vol.35
, Issue.2
-
-
Waki, H.1
Kim, S.2
Kojima, M.3
Muramatsu, M.4
Sugimoto, H.5
-
28
-
-
84867957035
-
Semidefinite programming for discrete optimization and matrix completion problems
-
Wolkowicz, H., Anjos, M. F.: Semidefinite programming for discrete optimization and matrix completion problems. Discrete Appl. Math., 123(1-2), 513-577 (2002)
-
(2002)
Discrete Appl. Math
, vol.123
, Issue.1-2
, pp. 513-577
-
-
Wolkowicz, H.1
Anjos, M.F.2
-
29
-
-
0003395487
-
-
Kluwer Academic Publishers, Boston, MA
-
Wolkowicz, H., Saigal, R., Vandenberghe, L. (eds.): Handbook of Semidefinite Programming. Kluwer Academic Publishers, Boston, MA (2000)
-
(2000)
Handbook of Semidefinite Programming
-
-
Wolkowicz, H.1
Saigal, R.2
Vandenberghe, L.3
|