-
1
-
-
0003169116
-
Interior point methods in semidefinite programming with application to combinatorial optimization
-
Alizadeh, F. 1995. Interior point methods in semidefinite programming with application to combinatorial optimization. SIAM. J. Optim. 5 13-51.
-
(1995)
SIAM. J. Optim.
, vol.5
, pp. 13-51
-
-
Alizadeh, F.1
-
2
-
-
0031141136
-
Complementarity and nondegeneracy in semidefinite programming
-
_, J.-P.A. Haeberly, M. L. Overton. 1997. Complementarity and nondegeneracy in semidefinite programming. Math. Programming 77 111-128.
-
(1997)
Math. Programming
, vol.77
, pp. 111-128
-
-
Haeberly, J.-P.A.1
Overton, M.L.2
-
3
-
-
0032327612
-
Primal-dual interior-point methods for semidefinite programming: Convergence rates, stability and numerical results
-
_, _, _. 1998. Primal-dual interior-point methods for semidefinite programming: Convergence rates, stability and numerical results. SIAM J. Optim. 8 746-768.
-
(1998)
SIAM J. Optim.
, vol.8
, pp. 746-768
-
-
-
7
-
-
0000724587
-
Reduction of monotone linear complementarity problems over cones to linear programs over cones
-
Kojima, M., M. Shida, S. Shindoh. 1997. Reduction of monotone linear complementarity problems over cones to linear programs over cones. Acta Math. Vietnamica 22 147-157.
-
(1997)
Acta Math. Vietnamica
, vol.22
, pp. 147-157
-
-
Kojima, M.1
Shida, M.2
Shindoh, S.3
-
8
-
-
0000376618
-
Local convergence of predictor-corrector infeasible-interior-point algorithms for SDPs and SDLCPs
-
_, _, _. 1998. Local convergence of predictor-corrector infeasible-interior-point algorithms for SDPs and SDLCPs. Math. Programming 80 129-160.
-
(1998)
Math. Programming
, vol.80
, pp. 129-160
-
-
-
9
-
-
0033439651
-
A predictor-corrector interior-point algorithm for the semidefinite linear complementarity problem using the Alizadeh-Haeberly-Overton search direction
-
_, _, _. 1999. A predictor-corrector interior-point algorithm for the semidefinite linear complementarity problem using the Alizadeh-Haeberly-Overton search direction. SIAM J. Optim. 9 444-465.
-
(1999)
SIAM J. Optim.
, vol.9
, pp. 444-465
-
-
-
10
-
-
0031542833
-
Interior-point methods for the monotone semidefinite linear complementarity problem in symmetric matrices
-
_, S. Shindoh, S. Hara. 1997. Interior-point methods for the monotone semidefinite linear complementarity problem in symmetric matrices. SIAM J. Optim. 1 86-125.
-
(1997)
SIAM J. Optim.
, vol.1
, pp. 86-125
-
-
Shindoh, S.1
Hara, S.2
-
11
-
-
0003493478
-
-
Manuscript, Econometric Institute, Erasmus University, Rotterdam, The Netherlands
-
Luo, Z. Q., J. F. Sturm, S. Z. Zhang. 1996. Duality and self-duality for conic convex programming. Manuscript, Econometric Institute, Erasmus University, Rotterdam, The Netherlands.
-
(1996)
Duality and Self-duality for Conic Convex Programming
-
-
Luo, Z.Q.1
Sturm, J.F.2
Zhang, S.Z.3
-
12
-
-
0032345991
-
Superlinear convergence of a symmetric primal-dual path following algorithm for semidefinite programming
-
_, _, _. 1998. Superlinear convergence of a symmetric primal-dual path following algorithm for semidefinite programming. SIAM J. Optim. 8 59-81.
-
(1998)
SIAM J. Optim.
, vol.8
, pp. 59-81
-
-
-
13
-
-
0031285899
-
Primal-dual path following algorithms for semidefinite programming
-
Monteiro, R. D. C. 1997. Primal-dual path following algorithms for semidefinite programming. SIAM J. Optim. 1 663-678.
-
(1997)
SIAM J. Optim.
, vol.1
, pp. 663-678
-
-
Monteiro, R.D.C.1
-
14
-
-
0032333697
-
Polynomial convergence of primal-dual algorithms for semidefinite programming based on Monteiro and Zhang family of directions
-
_. 1998. Polynomial convergence of primal-dual algorithms for semidefinite programming based on Monteiro and Zhang family of directions. SIAM J. Optim. 8 797-812.
-
(1998)
SIAM J. Optim.
, vol.8
, pp. 797-812
-
-
-
15
-
-
0030205136
-
Properties of an interior-point mapping for mixed complementarity problems
-
_, J. S. Pang. 1996. Properties of an interior-point mapping for mixed complementarity problems. Math. Oper. Res. 21 629-654.
-
(1996)
Math. Oper. Res.
, vol.21
, pp. 629-654
-
-
Pang, J.S.1
-
16
-
-
0031996411
-
On two interior-point mappings for nonlinear semidefinite complementarity problems
-
_, _. 1998. On two interior-point mappings for nonlinear semidefinite complementarity problems. Math. Oper. Res. 23 39-60.
-
(1998)
Math. Oper. Res.
, vol.23
, pp. 39-60
-
-
-
17
-
-
0033449236
-
A potential reduction Newton method for constrained equations
-
_, _. 1999. A potential reduction Newton method for constrained equations. SIAM J. Optim. 9 729-754.
-
(1999)
SIAM J. Optim.
, vol.9
, pp. 729-754
-
-
-
18
-
-
0033421616
-
Polynomial convergence of a new family of primal-dual algorithms for semidefinite programming
-
_, T. Tsuchiya. 1999. Polynomial convergence of a new family of primal-dual algorithms for semidefinite programming. SIAM J. Optim. 9 551-577.
-
(1999)
SIAM J. Optim.
, vol.9
, pp. 551-577
-
-
Tsuchiya, T.1
-
20
-
-
0001343365
-
A unified analysis for a class of path-following primal-dual interior-point algorithms for semidefinite programming
-
_, Y. Zhang. 1998. A unified analysis for a class of path-following primal-dual interior-point algorithms for semidefinite programming. Math. Programming 81 281-299.
-
(1998)
Math. Programming
, vol.81
, pp. 281-299
-
-
Zhang, Y.1
-
22
-
-
0031073753
-
Self-scaled barriers and interior-point methods for convex programming
-
_, M. J. Todd. 1997. Self-scaled barriers and interior-point methods for convex programming. Math. Oper. Res. 22 1-42.
-
(1997)
Math. Oper. Res.
, vol.22
, pp. 1-42
-
-
Todd, M.J.1
-
23
-
-
0032222088
-
Primal-dual interior-point methods for self-scaled cones
-
_, _. 1998. Primal-dual interior-point methods for self-scaled cones. SIAM J. Optim. 8 324-364.
-
(1998)
SIAM J. Optim.
, vol.8
, pp. 324-364
-
-
-
25
-
-
0032327344
-
A superlinearly convergent primal-dual infeasible-interior-point algorithm for semidefinite programming
-
Potra, F. A., R. Sheng. 1998. A superlinearly convergent primal-dual infeasible-interior-point algorithm for semidefinite programming. SIAM J. Optim. 8 1007-1028.
-
(1998)
SIAM J. Optim.
, vol.8
, pp. 1007-1028
-
-
Potra, F.A.1
Sheng, R.2
-
27
-
-
0004267646
-
-
Princeton University Press, Princeton, NJ
-
Rockafellar, R. T. 1970. Convex Analysis. Princeton University Press, Princeton, NJ.
-
(1970)
Convex Analysis
-
-
Rockafellar, R.T.1
-
28
-
-
0031139858
-
First and second order analysis of nonlinear semidefinite programs
-
Shapiro, A. 1997. First and second order analysis of nonlinear semidefinite programs. Math. Programming 77 301-320.
-
(1997)
Math. Programming
, vol.77
, pp. 301-320
-
-
Shapiro, A.1
-
29
-
-
0040136982
-
-
Research Report B-312, Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Tokyo, Japan
-
Shida, M., S. Shindoh, 1996. Monotone semidefinite complementarity problems. Research Report B-312, Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Tokyo, Japan.
-
(1996)
Monotone Semidefinite Complementarity Problems
-
-
Shida, M.1
Shindoh, S.2
-
30
-
-
0031272081
-
Centers of monotone generalized complementarity problems
-
_, S. Shindoh, M. Kojima. 1997. Centers of monotone generalized complementarity problems. Math. Oper. Res. 22 969-976.
-
(1997)
Math. Oper. Res.
, vol.22
, pp. 969-976
-
-
Shindoh, S.1
Kojima, M.2
-
31
-
-
0032222084
-
Existence of search directions in interior-point algorithms for the SDP and the monotone SDLCP
-
_, _, _. 1998. Existence of search directions in interior-point algorithms for the SDP and the monotone SDLCP. SIAM J. Optim. 8 387-396.
-
(1998)
SIAM J. Optim.
, vol.8
, pp. 387-396
-
-
-
32
-
-
0041094073
-
On weighted centers for semidefinite programming
-
Report 9636/A, Econometric Institute, Erasmus University Rotterdam, the Netherlands
-
Sturm, J. F., S. Zhang. 1996. On Weighted Centers for Semidefinite Programming. Report 9636/A, Econometric Institute, Erasmus University Rotterdam, the Netherlands. To appear in Euro. J. Oper. Res.
-
(1996)
Euro. J. Oper. Res.
-
-
Sturm, J.F.1
Zhang, S.2
-
33
-
-
0030106462
-
Semidefinite programming
-
Vandenberghe, L., S. Boyd. 1996. Semidefinite programming. SIAM Rev. 38 49-95.
-
(1996)
SIAM Rev.
, vol.38
, pp. 49-95
-
-
Vandenberghe, L.1
Boyd, S.2
-
34
-
-
0000304337
-
An interior point potential reduction method for constrained equations
-
Wang, T., R. D. C. Monteiro, J.-S. Pang. 1996. An interior point potential reduction method for constrained equations. Math. Programming 74 159-195.
-
(1996)
Math. Programming
, vol.74
, pp. 159-195
-
-
Wang, T.1
Monteiro, R.D.C.2
Pang, J.-S.3
-
35
-
-
0032081158
-
On extending some primal-dual interior-point algorithms from linear programming to semidefinite programming
-
Zhang, Y. 1998. On extending some primal-dual interior-point algorithms from linear programming to semidefinite programming. SIAM J. Optim. 8 365-386.
-
(1998)
SIAM J. Optim.
, vol.8
, pp. 365-386
-
-
Zhang, Y.1
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