-
1
-
-
0032327612
-
Primal-dual interior-point methods for semidefinite programming: Convergence rates, stability and numerical results
-
Alizadeh, F., Haeherly, J.-P.A., Overton, M.L.: Primal-dual interior-point methods for semidefinite programming: convergence rates, stability and numerical results. SIAM Journal on Optimization, 8, 746-768 (1998)
-
(1998)
SIAM Journal on Optimization
, vol.8
, pp. 746-768
-
-
Alizadeh, F.1
Haeherly, J.-P.A.2
Overton, M.L.3
-
2
-
-
2942696007
-
Recent advances in the solution of quadratic assignment problems
-
K.M. Anstreicher, Recent advances in the solution of quadratic assignment problems. Mathematical Programming (Series B), 97 (1-2), 27-42 (2003)
-
(2003)
Mathematical Programming (Series B)
, vol.97
, Issue.1-2
, pp. 27-42
-
-
Anstreicher, K.M.1
-
3
-
-
0003008848
-
Cones of diagonally dominant matrices
-
Barker, G.P., Carlson, D.: Cones of diagonally dominant matrices. Pacific Journal of Mathematics, 57 (1), 15-32 (1975)
-
(1975)
Pacific Journal of Mathematics
, vol.57
, Issue.1
, pp. 15-32
-
-
Barker, G.P.1
Carlson, D.2
-
4
-
-
1542291025
-
Semidefinite programming in the space of partial positive semidefinite matrices
-
Burer, S.: Semidefinite programming in the space of partial positive semidefinite matrices. SIAM Journal on Optimization, 14 (1), 139-172 (2003)
-
(2003)
SIAM Journal on Optimization
, vol.14
, Issue.1
, pp. 139-172
-
-
Burer, S.1
-
5
-
-
1542337156
-
A nonlinear programming algorithm for solving semidefinite programs via low-rank factorization
-
Burer, S., Monteiro, R.D.C.: A nonlinear programming algorithm for solving semidefinite programs via low-rank factorization. Mathematical Programming (Series B), 95, 329-357 (2003)
-
(2003)
Mathematical Programming (Series B)
, vol.95
, pp. 329-357
-
-
Burer, S.1
Monteiro, R.D.C.2
-
6
-
-
0346448948
-
Solving a class of semidefinite programs via nonlinear programming
-
Burer, S., Monteiro, R.D.C., Zhang, Y.: Solving a class of semidefinite programs via nonlinear programming. Mathematical Programming, 93, 97-122 (2002)
-
(2002)
Mathematical Programming
, vol.93
, pp. 97-122
-
-
Burer, S.1
Monteiro, R.D.C.2
Zhang, Y.3
-
7
-
-
0026418381
-
QAPLIB - A quadratic assignment problem library
-
Burkard, R.E.;., Karisch, S., Rendl, E.: QAPLIB - a quadratic assignment problem library. European Journal of Operational Research, 55, 15-119 (1991)
-
(1991)
European Journal of Operational Research
, vol.55
, pp. 15-119
-
-
Burkard, R.E.1
Karisch, S.2
Rendl, E.3
-
8
-
-
0005740806
-
Semidefinite programming for combinatorial optimization
-
Konrad-Zuse-Zentrum für Informationstechnik Berlin, October
-
Helmberg, C.: Semidefinite programming for combinatorial optimization. ZID-Report 00-34, Konrad-Zuse-Zentrum für Informationstechnik Berlin, October 2000.
-
(2000)
ZID-Report
, Issue.34
-
-
Helmberg, C.1
-
9
-
-
0034415006
-
A spectral bundle method for semidefinite programming
-
Helmberg, C., Rendl, F.: A spectral bundle method for semidefinite programming. SIAM Journal on Optimization, 10, 673-696 (2000)
-
(2000)
SIAM Journal on Optimization
, vol.10
, pp. 673-696
-
-
Helmberg, C.1
Rendl, F.2
-
10
-
-
0030303838
-
An interior-point method for semidefinite programming
-
Helmberg, C., Rendl, F., Vanderbei, R.J., Wolkowicz., H.: An interior-point method for semidefinite programming. SIAM Journal on Optimization, 6, 342-361 (1996)
-
(1996)
SIAM Journal on Optimization
, vol.6
, pp. 342-361
-
-
Helmberg, C.1
Rendl, F.2
Vanderbei, R.J.3
Wolkowicz, H.4
-
11
-
-
0003316862
-
Grundlehren der Mathematischen Wissenschaften
-
Springer-Verlag, Berlin
-
Hiriart-Urruty, J.-B., Lemaréchal, C., Convex analysis and minimization algorithms. I, volume 305 of Grundlehren der Mathematischen Wissenschaften (Fundamental Principles of Mathematical Sciences]. Springer-Verlag, Berlin, 1993.
-
(1993)
Fundamental Principles of Mathematical Sciences
, vol.305
-
-
Hiriart-Urruty, J.-B.1
Lemaréchal, C.2
-
13
-
-
0031542833
-
Interior-point methods for the monotone semidefinite linear complementarity problem in symmetric matrices
-
Kojima, M., Shindoh, S., Hara, S.: Interior-point methods for the monotone semidefinite linear complementarity problem in symmetric matrices. SIAM Journal on Optimization, 7, 86-125 (1997)
-
(1997)
SIAM Journal on Optimization
, vol.7
, pp. 86-125
-
-
Kojima, M.1
Shindoh, S.2
Hara, S.3
-
14
-
-
0003825813
-
On solving large scale semidefinite programming problems: A case study of quadratic assigment problem
-
IX-pt. of Industrial and Operations Engineering, The University of Michigan, Ann Arbor, MI
-
Lin, C-J., Saigal, R.: On solving large scale semidefinite programming problems: a case study of quadratic assigment problem. Technical Report, IX-pt. of Industrial and Operations Engineering, The University of Michigan, Ann Arbor, MI 48109-2177, 1997.
-
(1997)
Technical Report
, pp. 48109-52177
-
-
Lin, C.-J.1
Saigal, R.2
-
15
-
-
21644433736
-
First- And second-order methods for semidefinite programming
-
Monteiro, R.D.C.: First- and second-order methods for semidefinite programming. Mathematical Programming, 97, 209-244 (2003)
-
(2003)
Mathematical Programming
, vol.97
, pp. 209-244
-
-
Monteiro, R.D.C.1
-
16
-
-
0031285899
-
Primal-dual path following algorithms for semidefinite programming
-
Monteiro, R.D.C.: Primal-dual path following algorithms for semidefinite programming. SIAM Journal on Optimization, 7, 663-678 (1997)
-
(1997)
SIAM Journal on Optimization
, vol.7
, pp. 663-678
-
-
Monteiro, R.D.C.1
-
17
-
-
0001343365
-
A unified analysis for a class of path-following primal-dual interior-point algorithms for semidefinite programming
-
Monteiro, R.D.C., Zhang, Y.: A unified analysis for a class of path-following primal-dual interior-point algorithms for semidefinite programming. Mathematical Programming, 81, 281-299 (1998)
-
(1998)
Mathematical Programming
, vol.81
, pp. 281-299
-
-
Monteiro, R.D.C.1
Zhang, Y.2
-
18
-
-
0000304272
-
Using the conjugate gradient method in interior-points for semidefinite programs
-
In Japanese
-
Nakata, K., Fujisawa, K., Kojima, M.: Using the conjugate gradient method in interior-points for semidefinite programs. Proceedings of the Institute of Statistical Mathematics, 46, 297-316 (1998) In Japanese.
-
(1998)
Proceedings of the Institute of Statistical Mathematics
, vol.46
, pp. 297-316
-
-
Nakata, K.1
Fujisawa, K.2
Kojima, M.3
-
19
-
-
0032070507
-
On the rank of extreme matrices in semidefinite programs and the multiplicity of optimal eigenvalues
-
Pataki, G.: On the rank of extreme matrices in semidefinite programs and the multiplicity of optimal eigenvalues. Mathematics of Operations Research, 23, 339-358 (1998)
-
(1998)
Mathematics of Operations Research
, vol.23
, pp. 339-358
-
-
Pataki, G.1
-
20
-
-
0242711183
-
The geometry of semidefinite programming
-
II. Wolkowicz., R. Saigal, L. Vandenberghe, (eds.), Kluwer Academic Publishers
-
Pataki, G.: The geometry of semidefinite programming. In II. Wolkowicz., R. Saigal, L. Vandenberghe, (eds.), Handbook of Semidefinite Programming: Theory, Algorithms, and Applications. Kluwer Academic Publishers, 2000.
-
(2000)
Handbook of Semidefinite Programming: Theory, Algorithms, and Applications
-
-
Pataki, G.1
-
22
-
-
0004267646
-
-
Princeton University Press, Princeton, NJ
-
Rockafellar, R.T.: Convex Analysis. Princeton University Press, Princeton, NJ, 1970.
-
(1970)
Convex Analysis
-
-
Rockafellar, R.T.1
-
23
-
-
0002085026
-
The cut polytope and the boolean quadric polytope
-
De Simone, C.: The cut polytope and the boolean quadric polytope. Discrete Mathematics, 79, 71-75 (1989)
-
(1989)
Discrete Mathematics
, vol.79
, pp. 71-75
-
-
De Simone, C.1
-
24
-
-
4043058006
-
Solving large scale semidefinite programs via an iterative solver on the agumented systems
-
Toh, K.C.: Solving large scale semidefinite programs via an iterative solver on the agumented systems. SIAM Journal on Optimization, 14, 670-698 (2004)
-
(2004)
SIAM Journal on Optimization
, vol.14
, pp. 670-698
-
-
Toh, K.C.1
-
25
-
-
0036361611
-
Solving some large scale semidefinite programs via the conjugate residual method
-
Toh, K.C., Kojima, M.: Solving some large scale semidefinite programs via the conjugate residual method. SIAM Journal on Optimization, 12, 669-691 (2002)
-
(2002)
SIAM Journal on Optimization
, vol.12
, pp. 669-691
-
-
Toh, K.C.1
Kojima, M.2
-
26
-
-
0032081158
-
On extending some primal-dual interior-point algorithms from linear programming to semidefinite programming
-
Zhang, Y.: On extending some primal-dual interior-point algorithms from linear programming to semidefinite programming. SIAM Journal on Optimization, 8, 365-386 (1998)
-
(1998)
SIAM Journal on Optimization
, vol.8
, pp. 365-386
-
-
Zhang, Y.1
-
27
-
-
0003072982
-
Semidefinite programming relaxations for the quadratic assignment problem
-
Zhao, Q., Karisch, S.E., Rendl, F., Wolkowicz, H.: Semidefinite programming relaxations for the quadratic assignment problem. Journal of Combinatorial Optimization, 2, 71-109 (1998)
-
(1998)
Journal of Combinatorial Optimization
, vol.2
, pp. 71-109
-
-
Zhao, Q.1
Karisch, S.E.2
Rendl, F.3
Wolkowicz, H.4
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