-
1
-
-
0026119751
-
Limiting behavior of the affine scaling continuous trajectories for linear programming problems
-
I. ADLER AND R. D. C. MONTEIRO, Limiting behavior of the affine scaling continuous trajectories for linear programming problems, Math. Programming, 50 (1991), pp. 29-51.
-
(1991)
Math. Programming
, vol.50
, pp. 29-51
-
-
Adler, I.1
Monteiro, R.D.C.2
-
2
-
-
0003169116
-
Interior point methods in semidefinite programming with applications to combinatorial optimization
-
F. ALIZADEH, Interior point methods in semidefinite programming with applications to combinatorial optimization, SIAM J. Optim., 5 (1995), pp. 13-51.
-
(1995)
SIAM J. Optim.
, vol.5
, pp. 13-51
-
-
Alizadeh, F.1
-
3
-
-
0031141136
-
Complementarity and nondegeneracy in semidefinite programming
-
F. ALIZADEH, J.-P. A. HAEBERLY, AND M. L. OVERTON, Complementarity and nondegeneracy in semidefinite programming, Math. Programming, 77 (1997), pp. 111-128.
-
(1997)
Math. Programming
, vol.77
, pp. 111-128
-
-
Alizadeh, F.1
Haeberly, J.-P.A.2
Overton, M.L.3
-
4
-
-
0032327612
-
Primal-dual interior-point methods for semidefinite programming: Convergence rates, stability and numerical results
-
F. ALIZADEH, J.-P. A. HAEBERLY, AND M. L. OVERTON, Primal-dual interior-point methods for semidefinite programming: Convergence rates, stability and numerical results, SIAM J. Optim., 8 (1998), pp. 746-768.
-
(1998)
SIAM J. Optim.
, vol.8
, pp. 746-768
-
-
Alizadeh, F.1
Haeberly, J.-P.A.2
Overton, M.L.3
-
5
-
-
0003008848
-
Cones of diagonally dominant matrices
-
G. PH. BARKER AND D. CARLSON, Cones of diagonally dominant matrices, Pacific J. Math., 57 (1975), pp. 15-32.
-
(1975)
Pacific J. Math.
, vol.57
, pp. 15-32
-
-
Barker, G.Ph.1
Carlson, D.2
-
6
-
-
84966258893
-
The nonlinear geometry of linear programming. I. Affine and projective scaling trajectories
-
D. A. BAYER AND J. C. LAGARIAS, The nonlinear geometry of linear programming. I. Affine and projective scaling trajectories, Trans. Amer. Math. Soc., 314 (1989), pp. 499-526.
-
(1989)
Trans. Amer. Math. Soc.
, vol.314
, pp. 499-526
-
-
Bayer, D.A.1
Lagarias, J.C.2
-
7
-
-
3643136854
-
On a matrix generalization of affine-scaling vector fields
-
L. FAYBUSOVICH, On a matrix generalization of affine-scaling vector fields, SIAM J. Matrix Anal. Appl., 16 (1995), pp. 886-897.
-
(1995)
SIAM J. Matrix Anal. Appl.
, vol.16
, pp. 886-897
-
-
Faybusovich, L.1
-
8
-
-
0038958574
-
A Hamiltonian structure of generalized affine scaling vector fields
-
L. FAYBUSOVICH, A Hamiltonian structure of generalized affine scaling vector fields, J. Nonlinear Sci., 5 (1995), pp. 11-28.
-
(1995)
J. Nonlinear Sci.
, vol.5
, pp. 11-28
-
-
Faybusovich, L.1
-
10
-
-
0000139397
-
Existence of interior points and interior paths in nonlinear monotone complementarity problems
-
O. GÜLER, Existence of interior points and interior paths in nonlinear monotone complementarity problems, Math. Oper. Res., 18 (1993). pp. 128-147.
-
(1993)
Math. Oper. Res.
, vol.18
, pp. 128-147
-
-
Güler, O.1
-
11
-
-
0030303838
-
An interior-point method for semidefinite programming
-
C. HELMBERG, F. RENDL, R. VANDERBEI, AND H. WOLKOWICZ, An interior-point method for semidefinite programming, SIAM J. Optim., 6 (1996), pp. 342-361.
-
(1996)
SIAM J. Optim.
, vol.6
, pp. 342-361
-
-
Helmberg, C.1
Rendl, F.2
Vanderbei, R.3
Wolkowicz, H.4
-
13
-
-
0001214560
-
Limiting behavior of trajectories generated by a continuation method for monotone complementarity problems
-
M. KOJIMA, S. MIZUNO, AND T. NOMA, Limiting behavior of trajectories generated by a continuation method for monotone complementarity problems, Math. Oper. Res., 15 (1990), pp. 662-675.
-
(1990)
Math. Oper. Res.
, vol.15
, pp. 662-675
-
-
Kojima, M.1
Mizuno, S.2
Noma, T.3
-
14
-
-
0000376618
-
Local convergence of predictor-corrector infeasible-interior-point algorithms for SDPs and SDLCPs
-
M. KOJIMA, M. SHIDA, AND S. SHINDOH, Local convergence of predictor-corrector infeasible-interior-point algorithms for SDPs and SDLCPs, Math. Programming, 80 (1998), pp. 129-160.
-
(1998)
Math. Programming
, vol.80
, pp. 129-160
-
-
Kojima, M.1
Shida, M.2
Shindoh, S.3
-
15
-
-
0031542833
-
Interior-point methods for the monotone semidefinite linear complementarity problem in symmetric matrices
-
M. KOJIMA, S. SHINDOH, AND S. HARA, Interior-point methods for the monotone semidefinite linear complementarity problem in symmetric matrices, SIAM J. Optim., 7 (1997), pp. 86-125.
-
(1997)
SIAM J. Optim.
, vol.7
, pp. 86-125
-
-
Kojima, M.1
Shindoh, S.2
Hara, S.3
-
16
-
-
0038952846
-
-
manuscript, Department of Electrical and Computer Engineering, McMaster University, Ontario, Canada and Econometric Institute, Erasmus University, Rotterdam, The Netherlands
-
Z.-Q. LUO, J. STURM, AND S. ZHANG, Superlinear Convergence of a Symmetric Primal-dual Path Following Algorithm for Semidefinite Programming, manuscript, Department of Electrical and Computer Engineering, McMaster University, Ontario, Canada and Econometric Institute, Erasmus University, Rotterdam, The Netherlands, 1996.
-
(1996)
Superlinear Convergence of a Symmetric Primal-dual Path Following Algorithm for Semidefinite Programming
-
-
Luo, Z.-Q.1
Sturm, J.2
Zhang, S.3
-
17
-
-
0001961709
-
Pathways to the optimal set in linear programming
-
N. Megiddo, ed., Springer-Verlag, Berlin
-
N. MEGIDDO, Pathways to the optimal set in linear programming, in Progress in Mathematical Programming: Interior-Point Algorithms and Related Methods, N. Megiddo, ed., Springer-Verlag, Berlin, 1989, pp. 131-158.
-
(1989)
Progress in Mathematical Programming: Interior-point Algorithms and Related Methods
, pp. 131-158
-
-
Megiddo, N.1
-
18
-
-
0003617328
-
-
Technical Report 90-16R1, Dept. of IE and MS, Northwestern Univ., Evanson, IL
-
S. MEHROTRA, Higher Order Methods and Their Performance, Technical Report 90-16R1, Dept. of IE and MS, Northwestern Univ., Evanson, IL, 1991.
-
(1991)
Higher Order Methods and Their Performance
-
-
Mehrotra, S.1
-
19
-
-
0031285899
-
Primal-dual path following algorithms for semidefinite programming
-
R. D. C. MONTEIRO, Primal-dual path following algorithms for semidefinite programming, SIAM J. Optim., 7 (1997), pp. 663-678.
-
(1997)
SIAM J. Optim.
, vol.7
, pp. 663-678
-
-
Monteiro, R.D.C.1
-
20
-
-
0000783956
-
A polynomial time primal-dual affine scaling algorithm for linear and convex quadratic programming and its power series extension
-
R. D. C. MONTEIRO, I. ADLER, AND M. G. C. RESENDE, A polynomial time primal-dual affine scaling algorithm for linear and convex quadratic programming and its power series extension, Math. Oper. Res., 15 (1990), pp. 191-214.
-
(1990)
Math. Oper. Res.
, vol.15
, pp. 191-214
-
-
Monteiro, R.D.C.1
Adler, I.2
Resende, M.G.C.3
-
22
-
-
0031073753
-
Self-scaled cones and interior-point methods in nonlinear programming
-
YU. E. NESTEROV AND M. J. TODD, Self-scaled cones and interior-point methods in nonlinear programming, Math. Oper. Res., 22 (1997), pp. 1-42.
-
(1997)
Math. Oper. Res.
, vol.22
, pp. 1-42
-
-
Nesterov, Yu.E.1
Todd, M.J.2
-
23
-
-
0032222088
-
Primal-dual interior point algorithms for self-scaled cones
-
YU. E. NESTEROV AND M. J. TODD, Primal-dual interior point algorithms for self-scaled cones, SIAM J. Optim., 8 (1998), pp. 324-364.
-
(1998)
SIAM J. Optim.
, vol.8
, pp. 324-364
-
-
Nesterov, Yu.E.1
Todd, M.J.2
-
24
-
-
0040730891
-
-
Research Report MSRR-595, Graduate School of Industrial Administration, Carnegie Mellon Univ., Pittsburgh, PA
-
G. PATAKI, On the Facial Structure of Cone-LP's and Semi-definite Programs, Research Report MSRR-595, Graduate School of Industrial Administration, Carnegie Mellon Univ., Pittsburgh, PA, 1994.
-
(1994)
On the Facial Structure of Cone-LP's and Semi-definite Programs
-
-
Pataki, G.1
-
25
-
-
0039661271
-
-
Research Report 86, Dept. of Mathematics, University of Iowa, IA
-
F. A. POTRA AND R. SHENG, Superlinear Convergence of Interior-point Algorithms for Semidefinite Programming, Research Report 86, Dept. of Mathematics, University of Iowa, IA, 1996.
-
(1996)
Superlinear Convergence of Interior-point Algorithms for Semidefinite Programming
-
-
Potra, F.A.1
Sheng, R.2
-
26
-
-
0031285890
-
Strong duality for semidefinite programming
-
M. RAMANA, L. TUNÇEL, AND H. WOLKOWICZ, Strong duality for semidefinite programming, SIAM J. Optim., 7 (1997), pp. 6 41-662.
-
(1997)
SIAM J. Optim.
, vol.7
, pp. 641-662
-
-
Ramana, M.1
Tunçel, L.2
Wolkowicz, H.3
-
28
-
-
0040136982
-
-
Working Paper B-312, Dept. of Mathematical and Computing Sciences, Tokyo Institute of Technology, Japan
-
M. SHIDA AND S. SHINDOH, Monotone Semidefinite Complementarity Problems, Working Paper B-312, Dept. of Mathematical and Computing Sciences, Tokyo Institute of Technology, Japan, 1996.
-
(1996)
Monotone Semidefinite Complementarity Problems
-
-
Shida, M.1
Shindoh, S.2
-
29
-
-
0029338589
-
A primal-dual potential reduction method for problems involving matrix inequalities
-
L. VANDERBERGHE AND S. BOYD, A primal-dual potential reduction method for problems involving matrix inequalities, Math. Programming, 69 (1995), pp. 205-236.
-
(1995)
Math. Programming
, vol.69
, pp. 205-236
-
-
Vanderberghe, L.1
Boyd, S.2
-
30
-
-
0030106462
-
Semidefinite programming
-
L. VANDERBERGHE AND S. BOYD, Semidefinite programming, SIAM Rev., 38 (1996), pp. 49-95.
-
(1996)
SIAM Rev.
, vol.38
, pp. 49-95
-
-
Vanderberghe, L.1
Boyd, S.2
-
31
-
-
0039545546
-
-
note, Dept. of Managements, University of Iowa, IA
-
Y. YE, Convergence Behavior on Central Paths for Convex Homogeneous Self-dual Cones, note, Dept. of Managements, University of Iowa, IA, 1995.
-
(1995)
Convergence Behavior on Central Paths for Convex Homogeneous Self-dual Cones
-
-
Ye, Y.1
-
32
-
-
0032081158
-
On extending some primal-dual interior-point algorithms from linear programming to semidefinite programming
-
Y. ZHANG, On extending some primal-dual interior-point algorithms from linear programming to semidefinite programming, SIAM J. Optim., 8 (1998), pp 365-386.
-
(1998)
SIAM J. Optim.
, vol.8
, pp. 365-386
-
-
Zhang, Y.1
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