-
1
-
-
84995344698
-
Structure preserving reductions among convex optimization problems
-
Ausiello G, D'Atri A and Protasi M (1980). Structure preserving reductions among convex optimization problems. J Comput Syst Sci 21: 136-153
-
(1980)
J Comput Syst Sci
, vol.21
, pp. 136-153
-
-
Ausiello, G.1
D'Atri, A.2
Protasi, M.3
-
2
-
-
34250182060
-
A integration and optimization of multivariate polynomials by restriction onto a random subspace
-
to appear
-
Barvinok (2007) A integration and optimization of multivariate polynomials by restriction onto a random subspace. Found Comput Math (to appear)
-
(2007)
Found Comput Math
-
-
Barvinok1
-
3
-
-
0000011818
-
The complexity of approximating a nonlinear program
-
Bellare M and Rogaway P (1995). The complexity of approximating a nonlinear program. Math Program 69: 429-441
-
(1995)
Math Program
, vol.69
, pp. 429-441
-
-
Bellare, M.1
Rogaway, P.2
-
4
-
-
84968516134
-
On a theory of computation and complexity over the real numbers: NP-completeness, recursive functions and universal machines
-
1
-
Blum L, Shub M and Smale S (1989). On a theory of computation and complexity over the real numbers: NP-completeness, recursive functions and universal machines. Bull Am Math Soc (NS) 21(1): 1-46
-
(1989)
Bull Am Math Soc (NS)
, vol.21
, pp. 1-46
-
-
Blum, L.1
Shub, M.2
Smale, S.3
-
5
-
-
0036734114
-
Regularity versus degeneracy in dynamics, games, and optimization: A unified approach to different aspects
-
3
-
Bomze IM (2002). Regularity versus degeneracy in dynamics, games and optimization: a unified approach to different aspects. SIAM Rev 44(3): 394-414
-
(2002)
SIAM Rev
, vol.44
, pp. 394-414
-
-
Bomze, I.M.1
-
6
-
-
31244435061
-
Solving standard quadratic optimization problems via linear, semidefinite and copositive programming
-
2
-
Bomze I and De Klerk E (2002). Solving standard quadratic optimization problems via linear, semidefinite and copositive programming. J Glob Optim 24(2): 163-185
-
(2002)
J Glob Optim
, vol.24
, pp. 163-185
-
-
Bomze, I.1
De Klerk, E.2
-
8
-
-
33746906690
-
Global optimization of homogeneous polynomials on the simplex and on the sphere
-
Kluwer Dordrecht
-
Faybusovich L (2004). Global optimization of homogeneous polynomials on the simplex and on the sphere. In: Floudas, C and Pardalos, P (eds) Frontiers in global optimization, pp 109-121. Kluwer, Dordrecht
-
(2004)
Frontiers in Global Optimization
, pp. 109-121
-
-
Faybusovich, L.1
Floudas, C.2
Pardalos, P.3
-
10
-
-
84893574327
-
Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming
-
6
-
Goemans MX and Williamson DP (1995). Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming. J ACM 42(6): 1115-1145
-
(1995)
J ACM
, vol.42
, pp. 1115-1145
-
-
Goemans, M.X.1
Williamson, D.P.2
-
12
-
-
0000844603
-
Some optimal inapproximability results
-
Håstad J (2001). Some optimal inapproximability results. J ACM 48: 798-859
-
(2001)
J ACM
, vol.48
, pp. 798-859
-
-
Håstad, J.1
-
13
-
-
0000185847
-
From electrostatics to almost optimal nodal sets for polynomial interpolation in a simplex
-
2
-
Hesthaven JS (1998). From electrostatics to almost optimal nodal sets for polynomial interpolation in a simplex. SIAM J Numer Anal 35(2): 655-676
-
(1998)
SIAM J Numer Anal
, vol.35
, pp. 655-676
-
-
Hesthaven, J.S.1
-
14
-
-
30344439147
-
Optimal algorithms for global optimization in case of unknown Lipschitz constant
-
Horn M (2006). Optimal algorithms for global optimization in case of unknown Lipschitz constant. J Complex 22: 50-70
-
(2006)
J Complex
, vol.22
, pp. 50-70
-
-
Horn, M.1
-
15
-
-
0000564361
-
A polynomial time algorithm in linear programming
-
Khachiyan L (1979). A polynomial time algorithm in linear programming. Sov Math Dokl 20: 191-194
-
(1979)
Sov Math Dokl
, vol.20
, pp. 191-194
-
-
Khachiyan, L.1
-
17
-
-
44349153979
-
On the complexity of optimization over the standard simplex
-
to appear
-
de Klerk E, den Hertog D, Elabwabi G (2007a) On the complexity of optimization over the standard simplex. Eur J Oper Res (to appear)
-
(2007)
Eur J Oper Res
-
-
De Klerk, E.1
Den Hertog, D.2
Elabwabi, G.3
-
18
-
-
44349099041
-
A PTAS for the minimization of polynomials of fixed degree over the simplex
-
to appear
-
de Klerk E, Laurent M, Parrilo P (2007b) A PTAS for the minimization of polynomials of fixed degree over the simplex. Theor Comput Sci (to appear)
-
(2007)
Theor Comput Sci
-
-
De Klerk, E.1
Laurent, M.2
Parrilo, P.3
-
20
-
-
0000230999
-
Maxima for graphs and a new proof of a theorem of Túran
-
Motzkin TS and Straus EG (1965). Maxima for graphs and a new proof of a theorem of Túran. Can J Math 17: 533-540
-
(1965)
Can J Math
, vol.17
, pp. 533-540
-
-
Motzkin, T.S.1
Straus, E.G.2
-
22
-
-
0031681870
-
Semidefinite relaxation and nonconvex quadratic optimization
-
Nesterov Y (1998). Semidefinite relaxation and nonconvex quadratic optimization. Optim Methods Softw 9: 141-160
-
(1998)
Optim Methods Softw
, vol.9
, pp. 141-160
-
-
Nesterov, Y.1
-
23
-
-
77952093279
-
Random walk in a simplex and quadratic optimization over convex polytopes
-
CORE-UCL
-
Nesterov Y (2003) Random walk in a simplex and quadratic optimization over convex polytopes. CORE Discussion Paper 2003/71, CORE-UCL
-
(2003)
CORE Discussion Paper 2003/71
-
-
Nesterov, Y.1
-
24
-
-
0001220590
-
Semidefinite programming relaxations of nonconvex quadratic optimization
-
Kluwer Norwell
-
Nesterov Y, Wolkowicz H and Ye Y (2000). Semidefinite programming relaxations of nonconvex quadratic optimization. In: Wolkowicz, H, Saigal, R, and Vandenberghe, L (eds) Handbook of semidefinite programming, pp 361-419. Kluwer, Norwell
-
(2000)
Handbook of Semidefinite Programming
, pp. 361-419
-
-
Nesterov, Y.1
Wolkowicz, H.2
Ye, Y.3
Wolkowicz, H.4
Saigal, R.5
Vandenberghe, L.6
-
25
-
-
0003211763
-
Deterministic and stochastic error bounds in numerical analysis
-
Springer, Heidelberg
-
Novak E (1988) Deterministic and stochastic error bounds in numerical analysis. In: Lecture Notes in Mathematics, vol. 1349. Springer, Heidelberg
-
(1988)
Lecture Notes in Mathematics
, vol.1349
-
-
Novak, E.1
-
27
-
-
34548491396
-
A survey of the S-lemma
-
to appear
-
Pólik I, Terlaky T (2007) A survey of the S-lemma. SIAM Rev (to appear)
-
(2007)
SIAM Rev
-
-
Pólik, I.1
Terlaky, T.2
-
28
-
-
0032259651
-
Convexity of quadratic transformations and its use in control and optimization
-
Polyak BT (1998). Convexity of quadratic transformations and its use in control and optimization. J Optim Theory Appl 99: 553-583
-
(1998)
J Optim Theory Appl
, vol.99
, pp. 553-583
-
-
Polyak, B.T.1
-
29
-
-
0031146175
-
An exact duality theory for semidefinite programming and its complexity implications
-
2
-
Ramana M (1997). An exact duality theory for semidefinite programming and its complexity implications. Math Program Ser B 77(2): 129-162
-
(1997)
Math Program ser B
, vol.77
, pp. 129-162
-
-
Ramana, M.1
-
32
-
-
0345581481
-
Approximation algorithms for concave quadratic programming
-
Princeton University Press New Jersey
-
Vavasis SA (1992). Approximation algorithms for concave quadratic programming. In: Floudas, CA and Pardalos, P (eds) Recent advances in global optimization, pp 3-18. Princeton University Press, New Jersey
-
(1992)
Recent Advances in Global Optimization
, pp. 3-18
-
-
Vavasis, S.A.1
Floudas, C.A.2
Pardalos, P.3
|