-
1
-
-
0001194185
-
Reverse search for enumeration
-
D. Avis K. Fukuda 1996 Reverse search for enumeration Discrete Appl. Math. 65 21 46 10.1016/0166-218X(95)00026-N (Pubitemid 126386259)
-
(1996)
Discrete Applied Mathematics
, vol.65
, Issue.1-3
, pp. 21-46
-
-
Avis, D.1
Fukuda, K.2
-
2
-
-
33847613047
-
Strong duality in nonconvex quadratic optimization with two quadratic constraints
-
DOI 10.1137/050644471
-
A. Beck Y.C. Eldar 2006 Strong duality in nonconvex quadratic optimization with two quadratic constraints SIAM J. Optim. 17 844 860 10.1137/050644471 (Pubitemid 47265175)
-
(2006)
SIAM Journal on Optimization
, vol.17
, Issue.3
, pp. 844-860
-
-
Beck, A.1
Eldar, Y.C.2
-
3
-
-
0034551040
-
Global Optimality Conditions for Quadratic Optimization Problems with Binary Constraints
-
DOI 10.1137/S1052623498336930
-
A. Beck M. Teboulle 2000 Global optimality conditions for quadratic optimization problems with binary constraints SIAM J. Optim. 11 179 188 10.1137/S1052623498336930 (Pubitemid 33235759)
-
(2000)
SIAM Journal on Optimization
, vol.11
, Issue.1
, pp. 179-188
-
-
Beck, A.1
Teboulle, M.2
-
4
-
-
14944360644
-
-
Universita di Roma La Sapienzia, Rome, Italy
-
Ben-Tal, A.: Conic and robust optimization. Lecture notes. Universita di Roma La Sapienzia, Rome, Italy (2002). Available at: http://ie.technion.ac.il/ Home/Users/morbt/rom.pdf
-
(2002)
Conic and Robust Optimization. Lecture Notes
-
-
Ben-Tal, A.1
-
5
-
-
0007160775
-
Hidden convexity in some nonconvex quadratically constrained quadratic programming
-
A. Ben-Tal M. Teboulle 1996 Hidden convexity in some nonconvex quadratically constrained quadratic programming Math. Program. 72 51 63 (Pubitemid 126372927)
-
(1996)
Mathematical Programming, Series B
, vol.72
, Issue.1
, pp. 51-63
-
-
Ben-Tal, A.1
Teboulle, M.2
-
6
-
-
4844227683
-
Testing optimality for quadratic 0-1 problems
-
10.1007/s101070050064
-
P. Carraresi F. Farinaccio F. Malucelli 1999 Testing optimality for quadratic 0-1 problems Math. Program. 85 407 421 10.1007/s101070050064
-
(1999)
Math. Program.
, vol.85
, pp. 407-421
-
-
Carraresi, P.1
Farinaccio, F.2
Malucelli, F.3
-
7
-
-
84858866019
-
Quadratic integer programming: Complexity and equivalent forms
-
C.A. Floudas P.M. Pardalos (eds). Springer New York. 10.1007/978-0-387- 74759-0-536
-
Chaovalitwongse W., Androulakis I.P., Pardalos P.M.: Quadratic integer programming: complexity and equivalent forms. In: Floudas, C.A., Pardalos, P.M (eds) Encyclopedia of Optimization, pp. 3153-3159. Springer, New York (2009)
-
(2009)
Encyclopedia of Optimization
, pp. 3153-3159
-
-
Chaovalitwongse, W.1
Androulakis, I.P.2
Pardalos, P.M.3
-
8
-
-
3042732867
-
A new linearization technique for multi-quadratic 0-1 programming problems
-
10.1016/j.orl.2004.03.005
-
W. Chaovalitwongse P.M. Pardalos O.A. Prokopyev 2004 A new linearization technique for multi-quadratic 0-1 programming problems Oper. Res. Lett. 32 517 522 10.1016/j.orl.2004.03.005
-
(2004)
Oper. Res. Lett.
, vol.32
, pp. 517-522
-
-
Chaovalitwongse, W.1
Pardalos, P.M.2
Prokopyev, O.A.3
-
9
-
-
80052733431
-
Quadratic programming with bound constraints
-
C.A. Floudas P.M. Pardalos (eds). Springer New York. 10.1007/978-0-387- 74759-0-538
-
De Angelis P.L., Toraldo G.: Quadratic programming with bound constraints. In: Floudas, C.A., Pardalos, P.M. (eds) Encyclopedia of Optimization, pp. 3161-3166. Springer, New York (2009)
-
(2009)
Encyclopedia of Optimization
, pp. 3161-3166
-
-
De Angelis, P.L.1
Toraldo, G.2
-
11
-
-
56649105067
-
Canonical dual approach to solve 0-1 quadratic programming problems
-
10.3934/jimo.2008.4.125
-
S.C. Fang D.Y. Gao R.L. Sheu S.Y. Wu 2008 Canonical dual approach to solve 0-1 quadratic programming problems J. Ind. Manage. Optim. 4 125 142 10.3934/jimo.2008.4.125
-
(2008)
J. Ind. Manage. Optim.
, vol.4
, pp. 125-142
-
-
Fang, S.C.1
Gao, D.Y.2
Sheu, R.L.3
Wu, S.Y.4
-
12
-
-
0001852022
-
The S-procedure and the duality relation in convex quadratic programming problems
-
A.L. Fradkov V.A. Yakubovich 1973 The S-procedure and the duality relation in convex quadratic programming problems Vestnik Leningrad Univ. 1 81 87
-
(1973)
Vestnik Leningrad Univ.
, vol.1
, pp. 81-87
-
-
Fradkov, A.L.1
Yakubovich, V.A.2
-
13
-
-
0000201892
-
Semidefinite Programming Relaxation for Nonconvex Quadratic Programs
-
T. Fujie M. Kojima 1997 Semidefinite programming relaxation for nonconvex quadratic programs J. Glob. 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
-
14
-
-
70349675862
-
Solutions and optimality criteria for nonconvex constrained global optimization problems with connections between canonical and Lagrangian duality
-
10.1007/s10898-009-9399-x
-
D.Y. Gao N. Ruan H.D. Sherali 2009 Solutions and optimality criteria for nonconvex constrained global optimization problems with connections between canonical and Lagrangian duality J. Glob. Optim. 45 473 497 10.1007/s10898-009- 9399-x
-
(2009)
J. Glob. Optim.
, vol.45
, pp. 473-497
-
-
Gao, D.Y.1
Ruan, N.2
Sherali, H.D.3
-
15
-
-
0346144114
-
Conditions for global optimality 2
-
10.1023/A:1008365206132
-
J.B. Hiriart-Urruty 1998 Conditions for global optimality 2 J. Glob. Optim. 13 349 367 10.1023/A:1008365206132
-
(1998)
J. Glob. Optim.
, vol.13
, pp. 349-367
-
-
Hiriart-Urruty, J.B.1
-
16
-
-
0035576919
-
Global optimality conditions in maximizing a convex quadratic function under convex quadratic constraints
-
10.1023/A:1012752110010
-
J.B. Hiriart-Urruty 2001 Global optimality conditions in maximizing a convex quadratic function under convex quadratic constraints J. Glob. Optim. 21 443 453 10.1023/A:1012752110010
-
(2001)
J. Glob. Optim.
, vol.21
, pp. 443-453
-
-
Hiriart-Urruty, J.B.1
-
17
-
-
33748317912
-
Sufficient global optimality conditions for non-convex quadratic minimization problems with box constraints
-
DOI 10.1007/s10898-006-9022-3
-
V. Jeyakumar A.M. Rubinov Z.Y. Wu 2006 Sufficient global optimality conditions for non-convex quadratic minimization problems with box constraints J. Glob. Optim. 36 471 481 10.1007/s10898-006-9022-3 (Pubitemid 44326975)
-
(2006)
Journal of Global Optimization
, vol.36
, Issue.3
, pp. 471-481
-
-
Jeyakumar, V.1
Rubinov, A.M.2
Wu, Z.Y.3
-
18
-
-
34249854587
-
Non-convex quadratic minimization problems with quadratic constraints: Global optimality conditions
-
DOI 10.1007/s10107-006-0012-5
-
V. Jeyakumar A.M. Rubinov Z.Y. Wu 2007 Non-convex quadratic minimization problems with quadratic constraints: global optimality conditions Math. Program. 110 521 541 10.1007/s10107-006-0012-5 (Pubitemid 46862319)
-
(2007)
Mathematical Programming
, vol.110
, Issue.3
, pp. 521-541
-
-
Jeyakumar, V.1
Rubinov, A.M.2
Wu, Z.Y.3
-
19
-
-
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
-
20
-
-
0027901827
-
Generalizations of the trust region problem
-
10.1080/10556789308805542
-
J.J. More 1993 Generalizations of the trust region problem Optim. Methods Softw. 2 189 209 10.1080/10556789308805542
-
(1993)
Optim. Methods Softw.
, vol.2
, pp. 189-209
-
-
More, J.J.1
-
22
-
-
3042765525
-
Seizure warning algorithm based on optimization and nonlinear dynamics
-
10.1007/s10107-004-0529-4
-
P.M. Pardalos W. Chaovalitwongse L.D. Iasemidis J. Chris Sackellares D.S. Shiau P.R. Carney O.A. Prokopyev V.A. Yatsenko 2004 Seizure warning algorithm based on optimization and nonlinear dynamics Math. Program. 101 365 385 10.1007/s10107-004-0529-4
-
(2004)
Math. Program.
, vol.101
, pp. 365-385
-
-
Pardalos, P.M.1
Chaovalitwongse, W.2
Iasemidis, L.D.3
Chris Sackellares, J.4
Shiau, D.S.5
Carney, P.R.6
Prokopyev, O.A.7
Yatsenko, V.A.8
-
24
-
-
0004120090
-
-
P.M. Pardalos M. Resende (eds). Oxford University Press New York
-
Pardalos, P.M., Resende, M. (eds): Handbook of Applied Optimization. Oxford University Press, New York (2002)
-
(2002)
Handbook of Applied Optimization
-
-
-
25
-
-
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. Glob. Optim. 1 15 22 10.1007/BF00120662
-
(1991)
J. Glob. Optim.
, vol.1
, pp. 15-22
-
-
Pardalos, P.M.1
Vavasis, S.A.2
-
26
-
-
4844219620
-
Sufficient global optimality conditions for bivalent quadratic optimization
-
DOI 10.1023/B:JOTA.0000042530.24671.80
-
M.Ç. Pinar 2004 Sufficient global optimality conditions for bivalent quadratic optimization J. Optim. Theory Appl. 122 433 440 10.1023/B:JOTA.0000042530.24671.80 (Pubitemid 39319622)
-
(2004)
Journal of Optimization Theory and Applications
, vol.122
, Issue.2
, pp. 433-440
-
-
Pinar, M.C.1
-
27
-
-
80052733431
-
Quadratic programming with bound constraints
-
C.A. Floudas P.M. Pardalos (eds). Springer New York. 10.1007/978-0-387- 74759-0-540
-
Pitsoulis L.: Quadratic programming with bound constraints. In: Floudas, C.A., Pardalos, P.M. (eds) Encyclopedia of Optimization, pp. 3170-3171. Springer, New York (2009)
-
(2009)
Encyclopedia of Optimization
, pp. 3170-3171
-
-
Pitsoulis, L.1
-
28
-
-
34548491396
-
A survey of the S-lemma
-
DOI 10.1137/S003614450444614X
-
I. Polik T. Terlaky 2007 A survey of the S-lemma SIAM Rev. 49 371 418 10.1137/S003614450444614X (Pubitemid 47377690)
-
(2007)
SIAM Review
, vol.49
, Issue.3
, pp. 371-418
-
-
Polik, I.1
Terlaky, T.2
-
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
-
-
85027935450
-
Exploiting vector space properties to strengthen the relaxation of bilinear programs arising in the global optimization of process networks
-
10.1007/s11590-010-0228-4
-
J.P. Ruiz I.E. Grossmann 2011 Exploiting vector space properties to strengthen the relaxation of bilinear programs arising in the global optimization of process networks Optim. Lett. 5 1 11 10.1007/s11590-010-0228-4
-
(2011)
Optim. Lett.
, vol.5
, pp. 1-11
-
-
Ruiz, J.P.1
Grossmann, I.E.2
-
31
-
-
78651099487
-
Output-sensitive cell enumeration in hyperplane arrangements
-
N. Sleumer 1999 Output-sensitive cell enumeration in hyperplane arrangements Nordic J. Comput. 6 137 161
-
(1999)
Nordic J. Comput.
, vol.6
, pp. 137-161
-
-
Sleumer, N.1
-
32
-
-
0001219945
-
Indefinite trust region subproblems and nonsymmetric eigenvalue perturbations
-
10.1137/0805016
-
R.J. Stern H. Wolkowicz 1995 Indefinite trust region subproblems and nonsymmetric eigenvalue perturbations SIAM J. Optim. 5 286 313 10.1137/0805016
-
(1995)
SIAM J. Optim.
, vol.5
, pp. 286-313
-
-
Stern, R.J.1
Wolkowicz, H.2
-
33
-
-
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
-
34
-
-
43949105773
-
Global extremal conditions for multi-integer quadratic programming
-
10.3934/jimo.2008.4.213
-
Z.B. Wang S.C. Fang D.Y. Gao W.X. Xing 2008 Global extremal conditions for multi-integer quadratic programming J. Ind. Manage. Optim. 4 213 225 10.3934/jimo.2008.4.213
-
(2008)
J. Ind. Manage. Optim.
, vol.4
, pp. 213-225
-
-
Wang, Z.B.1
Fang, S.C.2
Gao, D.Y.3
Xing, W.X.4
-
35
-
-
61449100721
-
Global optimality conditions for mixed nonconvex quadratic programs
-
10.1080/02331930701761243
-
Z.Y. Wu F. Bai 2009 Global optimality conditions for mixed nonconvex quadratic programs Optimization 58 39 47 10.1080/02331930701761243
-
(2009)
Optimization
, vol.58
, pp. 39-47
-
-
Wu, Z.Y.1
Bai, F.2
-
36
-
-
34547336711
-
Sufficient conditions for global optimality of bivalent nonconvex quadratic programs with inequality constraints
-
10.1007/s10957-007-9177-1
-
Z.Y. Wu V. Jeyakumar A.M. Rubinov 2007 Sufficient conditions for global optimality of bivalent nonconvex quadratic programs with inequality constraints J. Optim. Theory Appl. 133 123 130 10.1007/s10957-007-9177-1
-
(2007)
J. Optim. Theory Appl.
, vol.133
, pp. 123-130
-
-
Wu, Z.Y.1
Jeyakumar, V.2
Rubinov, A.M.3
-
37
-
-
84858862239
-
Quadratic knapsack
-
C.A. Floudas P.M. Pardalos (eds). Springer New York. 10.1007/978-0-387- 74759-0-537
-
Yajima Y.: Quadratic knapsack. In: Floudas, C.A., Pardalos, P.M. (eds) Encyclopedia of Optimization, pp. 3159-3161. Springer, New York (2009)
-
(2009)
Encyclopedia of Optimization
, pp. 3159-3161
-
-
Yajima, Y.1
-
38
-
-
84858863119
-
Quadratic programming over an ellipsoid
-
C.A. Floudas P.M. Pardalos (eds). Springer New York. 10.1007/978-0-387- 74759-0-539
-
Ye Y.: Quadratic programming over an ellipsoid. In: Floudas, C.A., Pardalos, P.M. (eds) Encyclopedia of Optimization, pp. 3166-3170. Springer, New York (2009)
-
(2009)
Encyclopedia of Optimization
, pp. 3166-3170
-
-
Ye, Y.1
-
39
-
-
1542380911
-
New results on quadratic minimization
-
DOI 10.1137/S105262340139001X
-
Y. Ye S. Zhang 2003 New results on quadratic minimization SIAM J. Optim. 14 245 267 10.1137/S105262340139001X (Pubitemid 38318152)
-
(2004)
SIAM Journal on Optimization
, vol.14
, Issue.1
, pp. 245-267
-
-
Ye, Y.1
Zhang, S.2
-
40
-
-
0001575794
-
Facing up to arrangements: Face-count formulas for partitions of space by hyperplanes
-
T. Zaslavsky 1975 Facing up to arrangements: face-count formulas for partitions of space by hyperplanes Mem. Am. Math. Soc. 1 1 101
-
(1975)
Mem. Am. Math. Soc.
, vol.1
, pp. 1-101
-
-
Zaslavsky, T.1
-
41
-
-
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
|