-
1
-
-
0030303838
-
An interior-point method for semidefinite programming
-
C. Helmberg, F. Rendl, R.J. Vanderbei, H. Wolkowicz, An interior-point method for semidefinite programming, SIAM Journal on Optimization 6 (1996) 342-361.
-
(1996)
SIAM Journal on Optimization
, vol.6
, pp. 342-361
-
-
Helmberg, C.1
Rendl, F.2
Vanderbei, R.J.3
Wolkowicz, H.4
-
2
-
-
0031542833
-
Interior-point methods for the monotone semidefinite linear complementarity problems
-
M. Kojima, S. Shindoh, S. Hara, Interior-point methods for the monotone semidefinite linear complementarity problems, SIAM Journal on Optimization 7 (1997) 86-125.
-
(1997)
SIAM Journal on Optimization
, vol.7
, pp. 86-125
-
-
Kojima, M.1
Shindoh, S.2
Hara, S.3
-
3
-
-
0003169116
-
Interior point methods in semidefinite programming with application to combinatorial optimization
-
F. Alizadeh, Interior point methods in semidefinite programming with application to combinatorial optimization, SIAM Journal on Optimization 5 (1995) 13-51.
-
(1995)
SIAM Journal on Optimization
, vol.5
, pp. 13-51
-
-
Alizadeh, F.1
-
5
-
-
0010832423
-
Complexity of an Algorithm for Finding an Approximate Solution of a Semidefinite Program with no Regularity Assumption
-
Operations Research Center, MIT press, Cambridge, MA
-
R.M. Freund, Complexity of an Algorithm for Finding an Approximate Solution of a Semidefinite Program with no Regularity Assumption, Technical report OR 302-94, Operations Research Center, MIT press, Cambridge, MA, 1994.
-
(1994)
Technical Report or 302-94
-
-
Freund, R.M.1
-
6
-
-
0027656654
-
An interior-point method for minimizing the maximum eigenvalue of a linear combination of matrices
-
F. Jarre, An interior-point method for minimizing the maximum eigenvalue of a linear combination of matrices, SIAM Journal on Control and Optimization 31 (1993) 1360-1377.
-
(1993)
SIAM Journal on Control and Optimization
, vol.31
, pp. 1360-1377
-
-
Jarre, F.1
-
8
-
-
0029338589
-
A primal-dual potential reduction method for problems involving matrix inequalities
-
L. Vandenberghe, S. Boyd, A primal-dual potential reduction method for problems involving matrix inequalities, Mathematical Programming 69 (1995) 205-236.
-
(1995)
Mathematical Programming
, vol.69
, pp. 205-236
-
-
Vandenberghe, L.1
Boyd, S.2
-
10
-
-
0024665751
-
A polynomial-time algorithm for a class of linear complementary problems
-
M. Kojima, S. Mizuno, A. Yoshise, A polynomial-time algorithm for a class of linear complementary problems, Mathematical Programming 44 (1989) 1-26.
-
(1989)
Mathematical Programming
, vol.44
, pp. 1-26
-
-
Kojima, M.1
Mizuno, S.2
Yoshise, A.3
-
11
-
-
0024665752
-
Interior Path-Following Primal-Dual Algorithm, Part I: Linear Programming
-
R.D.C. Monteiro, I. Adler, Interior Path-Following Primal-Dual Algorithm, Part I: Linear Programming, Mathematical Programming 44 (1989) 27-41.
-
(1989)
Mathematical Programming
, vol.44
, pp. 27-41
-
-
Monteiro, R.D.C.1
Adler, I.2
-
12
-
-
0026171528
-
An o(√nL) iteration potential reduction algorithm for linear complementarity problems
-
M. Kojima, S. Mizuno, A. Yoshise, An o(√nL) iteration potential reduction algorithm for linear complementarity problems, Mathematical Programming 50 (1991) 331-342.
-
(1991)
Mathematical Programming
, vol.50
, pp. 331-342
-
-
Kojima, M.1
Mizuno, S.2
Yoshise, A.3
-
13
-
-
0011336082
-
Infeasible-interior-point primal-dual potential-reduction algorithms for linear programming
-
S. Mizuno, M. Kojima, M.J. Todd, Infeasible-interior-point primal-dual potential-reduction algorithms for linear programming, SIAM Journal on Optimization 5 (1995) 52-67.
-
(1995)
SIAM Journal on Optimization
, vol.5
, pp. 52-67
-
-
Mizuno, S.1
Kojima, M.2
Todd, M.J.3
-
14
-
-
0031285899
-
Primal-Dual Path Following Algorithms for Semidefinite Programming
-
to appear
-
R.D.C. Monteiro, Primal-Dual Path Following Algorithms for Semidefinite Programming, SIAM Journal on Optimization (to appear).
-
SIAM Journal on Optimization
-
-
Monteiro, R.D.C.1
-
15
-
-
0002781299
-
A primal-dual interior point algorithm for linear programming
-
N. Megiddo (Ed.), Springer, Berlin
-
M. Kojima, S. Mizuno, A. Yoshise, A primal-dual interior point algorithm for linear programming, in: N. Megiddo (Ed.), Progress in Mathematical Programming: Interior Point and Related Methods, Springer, Berlin, 1989, pp. 29-47.
-
(1989)
Progress in Mathematical Programming: Interior Point and Related Methods
, pp. 29-47
-
-
Kojima, M.1
Mizuno, S.2
Yoshise, A.3
-
16
-
-
0032081158
-
On Extending Primal-Dual Interior-Point Algorithms from Linear Programming to Semidefinite Programming
-
to appear
-
Y. Zhang, On Extending Primal-Dual Interior-Point Algorithms from Linear Programming to Semidefinite Programming, SIAM Journal on Optimization (to appear).
-
SIAM Journal on Optimization
-
-
Zhang, Y.1
-
17
-
-
0000252459
-
On the convergence of a class of infeasible interior-point algorithms for the horizontal linear complementarity problem
-
Y. Zhang, On the convergence of a class of infeasible interior-point algorithms for the horizontal linear complementarity problem, SIAM Journal on Optimization 4 (1994) 208-227.
-
(1994)
SIAM Journal on Optimization
, vol.4
, pp. 208-227
-
-
Zhang, Y.1
-
18
-
-
0039661271
-
-
Department of Mathematics, University of Iowa, Iowa City, IA 52242, October
-
F.A. Potra, R. Sheng, A Superlinearly Convergent Primal-Dual Infeasible-Interior-Point Algorithm for Semidefinite Programming, Department of Mathematics, University of Iowa, Iowa City, IA 52242, October 1995.
-
(1995)
A Superlinearly Convergent Primal-Dual Infeasible-Interior-Point Algorithm for Semidefinite Programming
-
-
Potra, F.A.1
Sheng, R.2
-
19
-
-
0000836925
-
On adaptive-step primal-dual interior-point algorithms for linear programming
-
S. Mizuno, M.J. Todd, Y. Ye, On adaptive-step primal-dual interior-point algorithms for linear programming, Mathematics of Operations Research 18 (1993) 964-981.
-
(1993)
Mathematics of Operations Research
, vol.18
, pp. 964-981
-
-
Mizuno, S.1
Todd, M.J.2
Ye, Y.3
-
20
-
-
0009230912
-
-
Working paper, Department of Industrial and Operations Engineering, The University of Michigan, Ann Arbor, Michigan 48109-2117, October
-
C.-J. Lin, R. Saigal, A predictor-corrector method for semi-definite linear programming, Working paper, Department of Industrial and Operations Engineering, The University of Michigan, Ann Arbor, Michigan 48109-2117, October 1995.
-
(1995)
A Predictor-corrector Method for Semi-definite Linear Programming
-
-
Lin, C.-J.1
Saigal, R.2
-
21
-
-
0040136942
-
Global and local convergence of predictor-corrector infeasible-interior-point algorithms for semidefinite programs
-
Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Oh-Okayama, Meguro, Tokyo 152, Japan, October
-
M. Kojima, M. Shida, S. Shindoh, Global and local convergence of predictor-corrector infeasible-interior-point algorithms for semidefinite programs, Research Report #305, Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Oh-Okayama, Meguro, Tokyo 152, Japan, October 1995.
-
(1995)
Research Report
, vol.305
-
-
Kojima, M.1
Shida, M.2
Shindoh, S.3
-
23
-
-
0003694452
-
-
Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Oh-Okayama, Meguro, Tokyo 152, Japan, December Revised August
-
K. Fujisawa, M. Kojima, K. Nakata, SDPA (Semidefinite Programming Algorithm) - User's Manual - Technical Report B-308, Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Oh-Okayama, Meguro, Tokyo 152, Japan, December 1995, Revised August 1996.
-
(1995)
SDPA (Semidefinite Programming Algorithm) - User's Manual - Technical Report B-308
-
-
Fujisawa, K.1
Kojima, M.2
Nakata, K.3
-
24
-
-
0346019270
-
A primitive interior point algorithm for semidefinite programs in Mathematica
-
Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Oh-Okayama, Meguro, Tokyo 152, Japan, December
-
M. Kojima, A primitive interior point algorithm for semidefinite programs in Mathematica, Technical Report B-293, Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Oh-Okayama, Meguro, Tokyo 152, Japan, December 1994.
-
(1994)
Technical Report B-293
-
-
Kojima, M.1
-
25
-
-
0346650288
-
-
Private communication, February
-
J.-P.A. Haeberly, Private communication, February 1996.
-
(1996)
-
-
Haeberly, J.-P.A.1
-
26
-
-
0030134078
-
A superlinearly convergent infeasible-interior-point algorithm for geometrical LCPs without a strictly complementarity condition
-
S. Mizuno, A superlinearly convergent infeasible-interior-point algorithm for geometrical LCPs without a strictly complementarity condition, Mathematics of Operations Research 21 (1996) 382-400.
-
(1996)
Mathematics of Operations Research
, vol.21
, pp. 382-400
-
-
Mizuno, S.1
-
27
-
-
0027803251
-
On quadratic and o(√nL) convergence of a predictor-corrector algorithm for LCP
-
Y. Ye, K. Anstreicher, On quadratic and o(√nL) convergence of a predictor-corrector algorithm for LCP, Mathematical Programming 62 (1993) 537-551.
-
(1993)
Mathematical Programming
, vol.62
, pp. 537-551
-
-
Ye, Y.1
Anstreicher, K.2
-
29
-
-
0346084121
-
-
Working Paper, CORE, Catholic University of Louvain, Louvain-la-Neuve, Belgium, April
-
Yu.E. Nesterov, M.J. Todd, Self-Scaled Cones and Interior-Point Methods in Nonlinear Programming, Working Paper, CORE, Catholic University of Louvain, Louvain-la-Neuve, Belgium, April 1994.
-
(1994)
Self-Scaled Cones and Interior-Point Methods in Nonlinear Programming
-
-
Nesterov, Yu.E.1
Todd, M.J.2
-
31
-
-
0039661271
-
-
Department of Mathematics, University of Iowa, Iowa City, IA 52242, April
-
F.A. Potra, R. Sheng, Superlinear convergence of infeasible-interior-point algorithms for semidefinite programming, Department of Mathematics, University of Iowa, Iowa City, IA 52242, April 1996.
-
(1996)
Superlinear Convergence of Infeasible-interior-point Algorithms for Semidefinite Programming
-
-
Potra, F.A.1
Sheng, R.2
-
32
-
-
0032345991
-
Superlinear convergence of a symmetric primal-dual path following algorithm for semidefinite programming
-
to appear
-
Z.-Q. Luo, J.S. Sturm, S. Zhang, Superlinear convergence of a symmetric primal-dual path following algorithm for semidefinite programming, SIAM Journal on Optimization (to appear).
-
SIAM Journal on Optimization
-
-
Luo, Z.-Q.1
Sturm, J.S.2
Zhang, S.3
-
33
-
-
0012355736
-
A predictor-corrector interior-point algorithm for the semidefinite linear complementarity problem using the Alizadeh-Haeberly-Overton search direction
-
Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Oh-Okayama, Meguro, Tokyo 152, Japan, December
-
M. Kojima, M. Shida, S. Shindoh, A predictor-corrector interior-point algorithm for the semidefinite linear complementarity problem using the Alizadeh-Haeberly-Overton search direction, Research Report #311, Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Oh-Okayama, Meguro, Tokyo 152, Japan, December 1996.
-
(1996)
Research Report
, vol.311
-
-
Kojima, M.1
Shida, M.2
Shindoh, S.3
-
34
-
-
0032327612
-
Primal-dual interior-point methods for semidefinite programming: Convergence rates, stability and numerical results
-
to appear
-
F. Alizadeh, J.-P.A. Haeberly, M.L. Overton, Primal-dual interior-point methods for semidefinite programming: Convergence rates, stability and numerical results, SlAM Journal On Optimization (to appear).
-
SlAM Journal on Optimization
-
-
Alizadeh, F.1
Haeberly, J.-P.A.2
Overton, M.L.3
|