-
1
-
-
0000483159
-
A relaxation method for nonconvex quadratically constrained quadratic programs
-
10.1007/BF01099462
-
F.A. Al-Khayyal C. Larsen T. Van Voorhis 1995 A relaxation method for nonconvex quadratically constrained quadratic programs J. Global Optim. 6 215 230 10.1007/BF01099462
-
(1995)
J. Global Optim.
, vol.6
, pp. 215-230
-
-
Al-Khayyal, F.A.1
Larsen, C.2
Van Voorhis, T.3
-
2
-
-
59449105344
-
Semidefinite programming versus the reformulation-linearization technique for nonconvex quadratically constrained quadratic programming
-
10.1007/s10898-008-9372-0
-
K.M. Anstreicher 2009 Semidefinite programming versus the reformulation-linearization technique for nonconvex quadratically constrained quadratic programming J. Global Optim. 43 471 484 10.1007/s10898-008-9372-0
-
(2009)
J. Global Optim.
, vol.43
, pp. 471-484
-
-
Anstreicher, K.M.1
-
3
-
-
27744568236
-
D.C. versus copositive bounds for standard QP
-
DOI 10.1007/s10898-004-4312-0
-
K.M. Anstreicher S. Burer 2005 D. C versus copositive bounds for standard QP. J. Global Optim. 33 299 312 10.1007/s10898-004-4312-0 (Pubitemid 41618777)
-
(2005)
Journal of Global Optimization
, vol.33
, Issue.2
, pp. 299-312
-
-
Anstreicher, K.M.1
Burer, S.2
-
4
-
-
0001280939
-
A branch and cut algorithm for nonconvex quadratically constrained quadratic programming
-
C. Audet P. Hansen B. Jaumard G. Savard 2000 A branch and cut algorithm for nonconvex quadratically constrained quadratic programming Math. Program. 87 131 152
-
(2000)
Math. Program.
, vol.87
, pp. 131-152
-
-
Audet, C.1
Hansen, P.2
Jaumard, B.3
Savard, G.4
-
6
-
-
31244432660
-
Branch-and-bound approaches to standard quadratic optimization problems
-
10.1023/A:1013886408463
-
I.M. Bomze 2002 Branch-and-bound approaches to standard quadratic optimization problems J. Global Optim. 22 17 37 10.1023/A:1013886408463
-
(2002)
J. Global Optim.
, vol.22
, pp. 17-37
-
-
Bomze, I.M.1
-
8
-
-
3543079910
-
Undominated DC. decompositions of quadratic functions and applications to branch-and-bound approaches
-
10.1023/B:COAP.0000026886.61324.e4
-
I.M. Bomze M. Locatelli 2004 Undominated DC. decompositions of quadratic functions and applications to branch-and-bound approaches Comput. Optim. Appl. 28 227 245 10.1023/B:COAP.0000026886.61324.e4
-
(2004)
Comput. Optim. Appl.
, vol.28
, pp. 227-245
-
-
Bomze, I.M.1
Locatelli, M.2
-
9
-
-
0000201892
-
Semidefinite Programming Relaxation for Nonconvex Quadratic Programs
-
T. Fujie M. Kojima 1997 Semidefinite programming relaxation for nonconvex quadratic programs J. Global Optim. 10 367 380 10.1023/A:1008282830093 (Pubitemid 127502196)
-
(1997)
Journal of Global Optimization
, vol.10
, Issue.4
, pp. 367-380
-
-
Fujie, T.1
Kojima, M.2
-
10
-
-
84893574327
-
Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming
-
10.1145/227683.227684
-
M.X. Goemans D.P. Williamson 1995 Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming J. ACM 42 1115 1145 10.1145/227683.227684
-
(1995)
J. ACM
, vol.42
, pp. 1115-1145
-
-
Goemans, M.X.1
Williamson, D.P.2
-
12
-
-
0141868669
-
An algorithm for global minimization of linearly constrained concave quadratic functions
-
10.1287/moor.12.3.544
-
B. Kalantari J.B. Rosen 1987 An algorithm for global minimization of linearly constrained concave quadratic functions Math. Oper. Res. 12 544 561 10.1287/moor.12.3.544
-
(1987)
Math. Oper. Res.
, vol.12
, pp. 544-561
-
-
Kalantari, B.1
Rosen, J.B.2
-
13
-
-
0036455609
-
Second order cone programming relaxation of nonconvex quadratic optimization problems
-
S. Kim M. Kojima 2001 Second order cone programming relaxation of nonconvex quadratic optimization problems Optim. Methods Softw. 15 3 201 224 10.1080/10556780108805819 (Pubitemid 33817509)
-
(2001)
Optimization Methods and Software
, vol.15
, Issue.3-4
, pp. 201-224
-
-
Kim, S.1
Kojima, M.2
-
14
-
-
0242302674
-
Exact solutions of some nonconvex quadratic optimization problems via SDP and SOCP relaxations
-
10.1023/A:1025794313696
-
S. Kim M. Kojima 2003 Exact solutions of some nonconvex quadratic optimization problems via SDP and SOCP relaxations Comput. Optim. Appl. 26 143 154 10.1023/A:1025794313696
-
(2003)
Comput. Optim. Appl.
, vol.26
, pp. 143-154
-
-
Kim, S.1
Kojima, M.2
-
15
-
-
0001445010
-
Solving a class of linearly constrained indefinite quadratic problems by D
-
10.1023/A:1008288411710
-
An LeThi Hoai Tao Pham Dinh 1997 Solving a class of linearly constrained indefinite quadratic problems by D C. algorithms J. Global Optim. 11 253 285 10.1023/A:1008288411710
-
(1997)
C. Algorithms J. Global Optim.
, vol.11
, pp. 253-285
-
-
Hoai An, L.1
Dinh Tao, P.2
-
17
-
-
21144432296
-
A simplicial branch-and-bound algorithm for solving quadratically constrained quadratic programs
-
DOI 10.1007/s10107-005-0582-7
-
J. Linderoth 2005 A simplicial branch-and-bound algorithm for solving quadratically constrained quadratic programs Math. Program. 103 251 282 10.1007/s10107-005-0582-7 (Pubitemid 40878750)
-
(2005)
Mathematical Programming
, vol.103
, Issue.2
, pp. 251-282
-
-
Linderoth, J.1
-
18
-
-
34250381644
-
Computability of global solutions to factorable nonconvex programs: Part IłConvex underestimating problems
-
10.1007/BF01580665
-
G.P. McCormick 1976 Computability of global solutions to factorable nonconvex programs: Part IłConvex underestimating problems Math. Program. 10 147 175 10.1007/BF01580665
-
(1976)
Math. Program.
, vol.10
, pp. 147-175
-
-
McCormick, G.P.1
-
20
-
-
0031681870
-
Semidefinite relaxation and nonconvex quadratic optimization
-
Y. Nesterov 1998 Semidefinite relaxation and nonconvex quadratic optimization Optim. Methods Softw. 9 141 160 10.1080/10556789808805690 (Pubitemid 128542194)
-
(1998)
Optimization Methods and Software
, vol.9
, Issue.1-3
, pp. 141-160
-
-
Nesterov, Yu.1
-
23
-
-
0001874070
-
Quadratic programming with one negative eigenvalue is NP-hard
-
10.1007/BF00120662
-
P.M. Pardalos S.A. Vavasis 1991 Quadratic programming with one negative eigenvalue is NP-hard J. Global Optim. 1 15 22 10.1007/BF00120662
-
(1991)
J. Global Optim.
, vol.1
, pp. 15-22
-
-
Pardalos, P.M.1
Vavasis, S.A.2
-
24
-
-
84989751852
-
Guaranteed ε-approximate solution for indefinite quadratic global minimization
-
10.1002/1520-6750(199008)37:4<499::AID-NAV3220370405>3.0.CO;2-9
-
A.T. Phillips J.B. Rosen 1990 Guaranteed ε-approximate solution for indefinite quadratic global minimization Naval Res. Logist. 37 499 514 10.1002/1520-6750(199008)37:4<499::AID-NAV3220370405>3.0.CO;2-9
-
(1990)
Naval Res. Logist.
, vol.37
, pp. 499-514
-
-
Phillips, A.T.1
Rosen, J.B.2
-
25
-
-
0002821681
-
A recipe for semidefinite relaxation for (0, 1)-quadratic programming
-
10.1007/BF01100205
-
S. Poljak F. Rendl H. Wolkowicz 1995 A recipe for semidefinite relaxation for (0, 1)-quadratic programming J. Global Optim. 7 51 73 10.1007/BF01100205
-
(1995)
J. Global Optim.
, vol.7
, pp. 51-73
-
-
Poljak, S.1
Rendl, F.2
Wolkowicz, H.3
-
26
-
-
0007166769
-
Convex relaxations of (0-1) quadratic programming
-
10.1287/moor.20.3.550
-
S. Poljak H. Wolkowicz 1995 Convex relaxations of (0-1) quadratic programming Math. Oper. Res. 20 550 561 10.1287/moor.20.3.550
-
(1995)
Math. Oper. Res.
, vol.20
, pp. 550-561
-
-
Poljak, S.1
Wolkowicz, H.2
-
27
-
-
0002315226
-
A Simplicial Branch-and-Bound Method for Solving Nonconvex All-Quadratic Programs
-
U. Raber 1998 A simplicial branch-and-bound method for solving nonconvex all-quadratic programs J. Global Optim. 13 417 432 10.1023/A:1008377529330 (Pubitemid 128507402)
-
(1998)
Journal of Global Optimization
, vol.13
, Issue.4
, pp. 417-432
-
-
Raber, U.1
-
29
-
-
0022677990
-
Global minimization of large-scale constrained concave quadratic problems by separable programming
-
J.B. Rosen P.M. Pardalos 1986 Global minimization of large-scale constrained concave quadratic problems by separable programming Math. Program. 34 163 174 10.1007/BF01580581 (Pubitemid 16554432)
-
(1986)
Mathematical Programming
, vol.34
, Issue.2
, pp. 163-174
-
-
Rosen, J.B.1
Pardalos, P.M.2
-
30
-
-
0000318768
-
BARON: A general purpose global optimization software package
-
10.1007/BF00138693
-
N.V. Sahinidis 1996 BARON: a general purpose global optimization software package J. Global Optim. 8 201 205 10.1007/BF00138693
-
(1996)
J. Global Optim.
, vol.8
, pp. 201-205
-
-
Sahinidis, N.V.1
-
31
-
-
80051591539
-
-
Technical Report RC24695 (W0811-090), IBM, Yorktown Heights, NY
-
Saxena, A., Bonami, P., Lee, J.: Convex relaxations of non-convex mixed integer quadratically constrained programs: projected formulations. Technical Report RC24695 (W0811-090), IBM, Yorktown Heights, NY (2008)
-
(2008)
Convex Relaxations of Non-convex Mixed Integer Quadratically Constrained Programs: Projected Formulations
-
-
Saxena, A.1
Bonami, P.2
Lee, J.3
-
33
-
-
33745955604
-
Enhancing rlt relaxations via a new class of semidefinite cuts
-
10.1023/A:1013819515732
-
H.D. Sherali B.M.P. Fraticelli 2002 Enhancing rlt relaxations via a new class of semidefinite cuts J. Global Optim. 22 233 261 10.1023/A:1013819515732
-
(2002)
J. Global Optim.
, vol.22
, pp. 233-261
-
-
Sherali, H.D.1
Fraticelli, B.M.P.2
-
34
-
-
0023454146
-
Quadratic optimization problems
-
N.Z. Shor 1987 Quadratic optimization problems Sov. J. Comput. Syst. Sci. 25 1 11
-
(1987)
Sov. J. Comput. Syst. Sci.
, vol.25
, pp. 1-11
-
-
Shor, N.Z.1
-
35
-
-
2942665751
-
Global optimization of mixed-integer nonlinear programs: A theoretical and computational study
-
DOI 10.1007/s10107-003-0467-6
-
M. Tawarmalani N.V. Sahinidis 2004 Global optimization of mixed-integer nonlinear programs: A theoretical and computational study Math. Program. 99 563 591 10.1007/s10107-003-0467-6 (Pubitemid 40871718)
-
(2004)
Mathematical Programming
, vol.99
, Issue.3
, pp. 563-591
-
-
Tawarmalani, M.1
Sahinidis, N.V.2
-
36
-
-
0030106462
-
Semidefinite programming
-
L. Vandenberghe S. Boyd 1996 Semidefinite programming SIAM Rev. 38 49 95 10.1137/1038003 (Pubitemid 126610912)
-
(1996)
SIAM Review
, vol.38
, Issue.1
, pp. 49-95
-
-
Vandenberghe, L.1
Boyd, S.2
-
37
-
-
0038485120
-
Approximating Global Quadratic Optimization with Convex Quadratic Constraints
-
Y. Ye 1999 Approximating global quadratic optimization with convex quadratic constraints J. Global Optim. 15 1 17 10.1023/A:1008370723217 (Pubitemid 129617306)
-
(1999)
Journal of Global Optimization
, vol.15
, Issue.1
, pp. 1-17
-
-
Ye, Y.1
-
38
-
-
0038029207
-
Quadratic maximization and semidefinite relaxation
-
10.1007/s101070050006
-
S. Zhang 2000 Quadratic maximization and semidefinite relaxation Math. Program. 87 453 465 10.1007/s101070050006
-
(2000)
Math. Program.
, vol.87
, pp. 453-465
-
-
Zhang, S.1
|