-
1
-
-
0000920501
-
Semidefinite optimization
-
Todd, M.J., 2001, Semidefinite optimization. Acta Numerica, 10, 515-560.
-
(2001)
Acta Numerica
, vol.10
, pp. 515-560
-
-
Todd, M.J.1
-
2
-
-
0030106462
-
Semidefinite programming
-
Vandenberghe, L. and Boyd, S., 1996, Semidefinite programming. SIAM Review, 38, 49-95.
-
(1996)
SIAM Review
, vol.38
, pp. 49-95
-
-
Vandenberghe, L.1
Boyd, S.2
-
6
-
-
0003181133
-
Large-scale optimization of eigenvalues
-
Overton, M.L., 1992, Large-scale optimization of eigenvalues. SIAM Journal on Optimization, 2, 88-120.
-
(1992)
SIAM Journal on Optimization
, vol.2
, pp. 88-120
-
-
Overton, M.L.1
-
8
-
-
0036817928
-
Convex non-differentiable optimization: A survey focussed on the analytic center cutting plane method
-
Goffin, J.-L. and Vial, J.-P., 2002, Convex non-differentiable optimization: a survey focussed on the analytic center cutting plane method. Optimization Methods and Software, 17, 805-867.
-
(2002)
Optimization Methods and Software
, vol.17
, pp. 805-867
-
-
Goffin, J.-L.1
Vial, J.-P.2
-
9
-
-
0242551555
-
Polynomial interior point cutting plane methods
-
Mitchell, J.E., 2003, Polynomial interior point cutting plane methods. Optimization Methods and Software, 18, 507-534.
-
(2003)
Optimization Methods and Software
, vol.18
, pp. 507-534
-
-
Mitchell, J.E.1
-
10
-
-
4043160796
-
A linear programming approach to Semidefinite programming problems
-
Department of Mathematical Sciences, Rensselaer Polytechnic Institute
-
Krishnan, K. and Mitchell, J.E., 2001, A linear programming approach to Semidefinite programming problems. Technical Report, Department of Mathematical Sciences, Rensselaer Polytechnic Institute.
-
(2001)
Technical Report
-
-
Krishnan, K.1
Mitchell, J.E.2
-
11
-
-
24044520461
-
The simplex method for conic programming
-
CORC, Columbia University
-
Goldfarb, D., 2002, The simplex method for conic programming. Technical Report, CORC, Columbia University.
-
(2002)
Technical Report
-
-
Goldfarb, D.1
-
12
-
-
0242595927
-
The analytic center cutting plane method with Semidefinite cuts
-
Oskoorouchi, M. and Goffin, J.L., 2003, The analytic center cutting plane method with Semidefinite cuts. SIAM Journal on Optimization, 13, 1029-1153.
-
(2003)
SIAM Journal on Optimization
, vol.13
, pp. 1029-1153
-
-
Oskoorouchi, M.1
Goffin, J.L.2
-
13
-
-
0034415006
-
A spectral bundle method for Semidefinite programming
-
Helmberg, C. and Rendl, F., 2000, A spectral bundle method for Semidefinite programming. SIAM Journal on Optimization, 10, 673-696.
-
(2000)
SIAM Journal on Optimization
, vol.10
, pp. 673-696
-
-
Helmberg, C.1
Rendl, F.2
-
14
-
-
29644443161
-
-
forthcoming
-
Krishnan, K., Pataki, G. and Zhang, Y., 2005, A non-polyhedral active set approach to SDP, forthcoming.
-
(2005)
A Non-polyhedral Active Set Approach to SDP
-
-
Krishnan, K.1
Pataki, G.2
Zhang, Y.3
-
15
-
-
0036435074
-
A multiple cut analytic center cutting plane method for Semidefinite feasibility problems
-
Toh, K.C., Zhao, G. and Sun, J., 2002, A multiple cut analytic center cutting plane method for Semidefinite feasibility problems. SIAM Journal on Optimization, 12, 1126-1146.
-
(2002)
SIAM Journal on Optimization
, vol.12
, pp. 1126-1146
-
-
Toh, K.C.1
Zhao, G.2
Sun, J.3
-
16
-
-
0036577015
-
An analytic center cutting plane method for Semidefinite feasibility problems
-
Sun, J., Toh, K.C. and Zhao, G.Y., 2002, An analytic center cutting plane method for Semidefinite feasibility problems. Mathematics of Operation Research, 27, 332-346.
-
(2002)
Mathematics of Operation Research
, vol.27
, pp. 332-346
-
-
Sun, J.1
Toh, K.C.2
Zhao, G.Y.3
-
17
-
-
0031141136
-
Complementarity and non-degeneracy in Semidefinite programming
-
Alizadeh, E., Haeberly, J.P.A. and Overton, M.L., 1997, Complementarity and non-degeneracy in Semidefinite programming. Mathematical Programming, 77, 111-128.
-
(1997)
Mathematical Programming
, vol.77
, pp. 111-128
-
-
Alizadeh, E.1
Haeberly, J.P.A.2
Overton, M.L.3
-
18
-
-
0032070507
-
On the rank of extreme matrices in Semidefinite programs and the multiplicity of optimal eigenvalues
-
Pataki, G., 1998, On the rank of extreme matrices in Semidefinite programs and the multiplicity of optimal eigenvalues. Mathematics of Operations Research, 23, 339-358.
-
(1998)
Mathematics of Operations Research
, vol.23
, pp. 339-358
-
-
Pataki, G.1
-
19
-
-
0000882113
-
Newton's method for convex programming
-
Cheney, E.W. and Goldstein, A.A., 1959, Newton's method for convex programming. Numerische Mathematik, 1, 253-268.
-
(1959)
Numerische Mathematik
, vol.1
, pp. 253-268
-
-
Cheney, E.W.1
Goldstein, A.A.2
-
20
-
-
0001547779
-
The cutting plane method for solving convex programs
-
Kelley, J.E., 1960, The cutting plane method for solving convex programs. Journal of the SIAM, 8, 703-712.
-
(1960)
Journal of the SIAM
, vol.8
, pp. 703-712
-
-
Kelley, J.E.1
-
22
-
-
29644434372
-
Properties of a cutting plane algorithm for semidefinite programming
-
Department of Mathematical Sciences, Rensselaer Polytechnic Institute
-
Krishnan, K. and Mitchell, J.E., 2003, Properties of a cutting plane algorithm for semidefinite programming. Technical Report, Department of Mathematical Sciences, Rensselaer Polytechnic Institute.
-
(2003)
Technical Report
-
-
Krishnan, K.1
Mitchell, J.E.2
-
23
-
-
84892355581
-
Interior point and semidefinite approaches in combinatorial optimization
-
D. Avis, A. Hertz, and O. Marcotte (Eds) New York: Springer
-
Krishnan, K. and Terlaky, T., 2005, Interior point and semidefinite approaches in combinatorial optimization. In: D. Avis, A. Hertz, and O. Marcotte (Eds) Graph Theory and Combinatorial Optimization (New York: Springer), pp. 101-158.
-
(2005)
Graph Theory and Combinatorial Optimization
, pp. 101-158
-
-
Krishnan, K.1
Terlaky, T.2
-
24
-
-
0032243583
-
Towards a practical volumetric cutting plane method for convex programming
-
Anstreicher, K.M., 1999, Towards a practical volumetric cutting plane method for convex programming. SIAM Journal on Optimization, 9, 190-206.
-
(1999)
SIAM Journal on Optimization
, vol.9
, pp. 190-206
-
-
Anstreicher, K.M.1
-
25
-
-
77957820648
-
-
Optimization, G.L. Nemhauser, A.H.G. Rinnooy Kan, and M.J. Todd (Eds) Amsterdam-New York-Oxford-Tokyo: North-Holland
-
Lemarechal, C., 1989, In: Optimization, G.L. Nemhauser, A.H.G. Rinnooy Kan, and M.J. Todd (Eds) Non-differentiable Optimization (Amsterdam-New York-Oxford-Tokyo: North-Holland), pp. 529-572.
-
(1989)
Non-differentiable Optimization
, pp. 529-572
-
-
Lemarechal, C.1
-
26
-
-
0003970531
-
Methods of descent for non-differentiable optimization
-
Berlin: Springer Verlag
-
Kiwiel, K.C., 1985, Methods of Descent for Non-differentiable Optimization. Lecture Notes in Mathematics, 1133 (Berlin: Springer Verlag).
-
(1985)
Lecture Notes in Mathematics
, vol.1133
-
-
Kiwiel, K.C.1
-
29
-
-
0025208765
-
Proximity control in bundle methods for convex non-differentiable minimization
-
Kiwiel, K.C., 1990, Proximity control in bundle methods for convex non-differentiable minimization. Mathematical Programming, 46, 105-122.
-
(1990)
Mathematical Programming
, vol.46
, pp. 105-122
-
-
Kiwiel, K.C.1
-
30
-
-
29644438741
-
-
PhD thesis, Faculty of Management, McGill University, Montreal, Canada
-
Oskoorouchi, M., 2002, The analytic center cutting plane method with semidefinite cuts. PhD thesis, Faculty of Management, McGill University, Montreal, Canada.
-
(2002)
The Analytic Center Cutting Plane Method with Semidefinite Cuts
-
-
Oskoorouchi, M.1
-
31
-
-
0005740806
-
Semidefinite programming for combinatorial optimization
-
Habilitationsschrift, Konrad-Zuse-Zentrum Berlin
-
Helmberg, C., 2000, Semidefinite Programming for Combinatorial Optimization. Habilitationsschrift, ZIB-Report ZR-00-34, Konrad-Zuse-Zentrum Berlin.
-
(2000)
ZIB-Report ZR-00-34
-
-
Helmberg, C.1
-
32
-
-
1542307069
-
A spectral bundle method with bounds
-
Helmberg, C. and Kiwiel, K.C., 2002, A spectral bundle method with bounds. Mathematical Programming, 93, 173-194.
-
(2002)
Mathematical Programming
, vol.93
, pp. 173-194
-
-
Helmberg, C.1
Kiwiel, K.C.2
-
33
-
-
0003319794
-
Bundle methods to minimize the maximum eigenvalue function
-
H. Wolkowicz, R. Saigal, and L. Vandenberghe, (Eds) Boston-Dordrecht- London: Kluwer Academic Publishers
-
Helmberg, C. and Oustry, F., 2000, Bundle methods to minimize the maximum eigenvalue function. In H. Wolkowicz, R. Saigal, and L. Vandenberghe, (Eds) Handbook of Semidefinite Programming (Boston-Dordrecht-London: Kluwer Academic Publishers), pp. 307-337.
-
(2000)
Handbook of Semidefinite Programming
, pp. 307-337
-
-
Helmberg, C.1
Oustry, F.2
-
34
-
-
0002928322
-
A second order bundle method to minimize the maximum eigenvalue function
-
Oustry, F., 2000, A second order bundle method to minimize the maximum eigenvalue function. Mathematical Programming, 89(1), 1-33.
-
(2000)
Mathematical Programming
, vol.89
, Issue.1
, pp. 1-33
-
-
Oustry, F.1
-
35
-
-
29044436721
-
Cone-LP's and Semidefinite Programs: Geometry and a Simplex-type Method
-
W.H. Cunningham, S.T. McCormick, and M. Queyranne (Eds) Springer Verlag
-
Pataki, G., 1996, Cone-LP's and Semidefinite Programs: Geometry and a Simplex-type Method. In: W.H. Cunningham, S.T. McCormick, and M. Queyranne (Eds) Proceedings of the Fifth IPCO Conference (Springer Verlag).
-
(1996)
Proceedings of the Fifth IPCO Conference
-
-
Pataki, G.1
-
36
-
-
0242711183
-
The geometry of semidefinite programming
-
H. Wolkowicz, R. Saigal, and L. Vandenberghe (Eds) Kluwer Academic Publishers
-
Pataki, G., 2000, The geometry of semidefinite programming. In: H. Wolkowicz, R. Saigal, and L. Vandenberghe (Eds) Handbook of Semidefinite Programming: Theory, Algorithms, and Applications (Kluwer Academic Publishers).
-
(2000)
Handbook of Semidefinite Programming: Theory, Algorithms, and Applications
-
-
Pataki, G.1
-
37
-
-
29644433604
-
Semidefinite based cut and price approaches for the maxcut problem
-
Department of Computing & Software, McMaster University
-
Krishnan, K. and Mitchell, J.E., 2004, Semidefinite based cut and price approaches for the maxcut problem. AdvOl-Report 2004/5, Department of Computing & Software, McMaster University.
-
(2004)
AdvOl-Report 2004/5
-
-
Krishnan, K.1
Mitchell, J.E.2
-
38
-
-
29644441695
-
Numerical evaluation of SB method
-
Helmberg, C., 2003, Numerical evaluation of SB method. Mathematical Programming, 95, 381-406.
-
(2003)
Mathematical Programming
, vol.95
, pp. 381-406
-
-
Helmberg, C.1
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