-
1
-
-
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
-
2
-
-
0003459680
-
-
Technical Report 659, Computer Science Department, Courant Institute of Mathematical Sciences, New York University, New York, NY
-
F. ALIZADEH, J.-P. HAEBERLY, AND M. OVERTON, Primal-dual Interior-point Methods for Semidefinite Programming, Technical Report 659, Computer Science Department, Courant Institute of Mathematical Sciences, New York University, New York, NY, 1994.
-
(1994)
Primal-dual Interior-point Methods for Semidefinite Programming
-
-
Alizadeh, F.1
Haeberly, J.-P.2
Overton, M.3
-
3
-
-
0032327612
-
Primal-dual interior-point methods for semidefinite programming: Convergence rates, stability and numerical results
-
F. ALIZADEH, J.-P. HAEBERLY, AND M. 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.2
Overton, M.3
-
4
-
-
0010832423
-
-
Working paper OR 302-94, Operations Research Center, Massachusetts Institute of Technology, Cambridge, MA, December
-
R. M. FREUND, Complexity of an Algorithm for Finding an Approximate Solution of a Semidefinite Program with No Regularity Condition, Working paper OR 302-94, Operations Research Center, Massachusetts Institute of Technology, Cambridge, MA, December 1994.
-
(1994)
Complexity of an Algorithm for Finding an Approximate Solution of a Semidefinite Program with No Regularity Condition
-
-
Freund, R.M.1
-
5
-
-
0030303838
-
An interior-point method for semidefinite programming
-
C. HELMBERG, F. RENDL, R. J. 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.J.3
Wolkowicz, H.4
-
7
-
-
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 J. Control Optim., 31 (1993), pp. 1360-1377.
-
(1993)
SIAM J. Control Optim.
, vol.31
, pp. 1360-1377
-
-
Jarre, F.1
-
8
-
-
0024665751
-
A polynomial-time algorithm for a class of linear complementarity problems
-
M. KOJIMA, S. MIZUNO, AND A. YOSHISE, A polynomial-time algorithm for a class of linear complementarity problems, Math. Programming, 44 (1989), pp. 1-26.
-
(1989)
Math. Programming
, vol.44
, pp. 1-26
-
-
Kojima, M.1
Mizuno, S.2
Yoshise, A.3
-
9
-
-
0002781299
-
A primal-dual interior point algorithm for linear programming
-
N. Megiddo, ed., Springer-Verlag, New York
-
M. KOJIMA, S. MIZUNO, AND A. YOSHISE, A primal-dual interior point algorithm for linear programming, in Progress in Mathematical Programming: Interior Point and Related Methods, N. Megiddo, ed., Springer-Verlag, New York, 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
-
10
-
-
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
-
11
-
-
0040730982
-
-
Research Report B-313, Dept. of Mathematical and Computing Sciences, Tokyo Institute of Technology, Oh-Okayama, Meguro-ku, Tokyo, Japan, April
-
M. KOJIMA, M. SHIDA, AND S. SHINDOH, A Note on the Nesterov-Todd and the Kojima-Shindoh-Hara Search Directions in Semidefinite Programming, Research Report B-313, Dept. of Mathematical and Computing Sciences, Tokyo Institute of Technology, Oh-Okayama, Meguro-ku, Tokyo, Japan, April 1996.
-
(1996)
A Note on the Nesterov-Todd and the Kojima-Shindoh-Hara Search Directions in Semidefinite Programming
-
-
Kojima, M.1
Shida, M.2
Shindoh, S.3
-
12
-
-
0033439651
-
A predictor-corrector interior-point algorithm for the semidefinite linear complementarity problem using the Alizadeh-Haeberly-Overton search direction
-
to appear
-
M. KOJIMA, M. SHIDA, AND S. SHINDOH, A predictor-corrector interior-point algorithm for the semidefinite linear complementarity problem using the Alizadeh-Haeberly-Overton search direction, SIAM J. Optim., to appear.
-
SIAM J. Optim.
-
-
Kojima, M.1
Shida, M.2
Shindoh, S.3
-
13
-
-
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
-
14
-
-
0009230912
-
-
Working paper, Dept. of Industrial and Operations Engineering, The University of Michigan, Ann Arbor, MI
-
C.-J. LIN AND R. SAIGAL, A Predictor-corrector Method for Semi-definite Programming, Working paper, Dept. of Industrial and Operations Engineering, The University of Michigan, Ann Arbor, MI, 1995.
-
(1995)
A Predictor-corrector Method for Semi-definite Programming
-
-
Lin, C.-J.1
Saigal, R.2
-
15
-
-
0032345991
-
Superlinear convergence of a symmetric primal-dual path following algorithm for semidefinite programming
-
Z.-Q. LUO, J. F. STURM, AND S. ZHANG, Superlinear convergence of a symmetric primal-dual path following algorithm for semidefinite programming, SIAM J. Optim., 8 (1998), pp. 59-81.
-
(1998)
SIAM J. Optim.
, vol.8
, pp. 59-81
-
-
Luo, Z.-Q.1
Sturm, J.F.2
Zhang, S.3
-
16
-
-
0000836925
-
On adaptive step primal-dual interior-point algorithms for linear programming
-
S. MIZUNO, M. J. TODD, AND Y. YE, On adaptive step primal-dual interior-point algorithms for linear programming, Math. Oper. Res., 18 (1993), pp. 945-981.
-
(1993)
Math. Oper. Res.
, vol.18
, pp. 945-981
-
-
Mizuno, S.1
Todd, M.J.2
Ye, Y.3
-
17
-
-
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
-
18
-
-
0024665752
-
Interior path-following primal-dual algorithms. Part I: Linear programming
-
R. D. C. MONTEIRO AND I. ADLER, Interior path-following primal-dual algorithms. Part I: Linear programming, Math. Programming, 44 (1989), pp. 27-41.
-
(1989)
Math. Programming
, vol.44
, pp. 27-41
-
-
Monteiro, R.D.C.1
Adler, I.2
-
19
-
-
0024665753
-
Interior path-following primal-dual algorithms. Part II: Convex quadratic programming
-
R. D. C. MONTEIRO AND I. ADLER, Interior path-following primal-dual algorithms. Part II: Convex quadratic programming, Math. Programming, 44 (1989), pp. 43-66.
-
(1989)
Math. Programming
, vol.44
, pp. 43-66
-
-
Monteiro, R.D.C.1
Adler, I.2
-
20
-
-
0001245514
-
A note on the existence of the Alizadeh-Haeberly-Overton direction for semidefinite programming
-
R. D. C. MONTEIRO AND P. ZANJÁCOMO, A note on the existence of the Alizadeh-Haeberly-Overton direction for semidefinite programming, Math. Programming, 78 (1997), pp. 393-396.
-
(1997)
Math. Programming
, vol.78
, pp. 393-396
-
-
Monteiro, R.D.C.1
Zanjácomo, P.2
-
21
-
-
0001343365
-
A unified analysis for a class of path-following primal-dual interior-point algorithms for semidefinite programming
-
R. D. C. MONTEIRO AND Y. ZHANG, A unified analysis for a class of path-following primal-dual interior-point algorithms for semidefinite programming, Math. Programming, 81 (1998), pp. 281-299.
-
(1998)
Math. Programming
, vol.81
, pp. 281-299
-
-
Monteiro, R.D.C.1
Zhang, Y.2
-
22
-
-
0039545631
-
Polynomial barrier methods in convex programming
-
in Russian; English translation in Matekon: Translations of Russian and East European Math. Economics
-
Y. E. NESTEROV AND A. S. NEMIROVSKII, Polynomial barrier methods in convex programming, Ekonomika i Matem. Metody, 24 (1988), pp. 1084-1091 (in Russian; English translation in Matekon: Translations of Russian and East European Math. Economics).
-
(1988)
Ekonomika i Matem. Metody
, vol.24
, pp. 1084-1091
-
-
Nesterov, Y.E.1
Nemirovskii, A.S.2
-
23
-
-
0003815907
-
-
preprint, Central Economic & Mathematical Institute, USSR Acad. Sci. Moscow, USSR
-
Y. E. NESTEROV AND A. S. NEMIROVSKII, Self-concordant Functions and Polynomial Time Methods in Convex Programming, preprint, Central Economic & Mathematical Institute, USSR Acad. Sci. Moscow, USSR, 1989.
-
(1989)
Self-concordant Functions and Polynomial Time Methods in Convex Programming
-
-
Nesterov, Y.E.1
Nemirovskii, A.S.2
-
24
-
-
0003916952
-
-
Technical report, Central Economic & Mathematical Institute, USSR Acad. Sci. Moscow, USSR
-
Y. E. NESTEROV AND A. S. NEMIROVSKII, Optimization Over Positive Semidefinite Matrices: Mathematical Background and User's Manual, Technical report, Central Economic & Mathematical Institute, USSR Acad. Sci. Moscow, USSR, 1990.
-
(1990)
Optimization Over Positive Semidefinite Matrices: Mathematical Background and User's Manual
-
-
Nesterov, Y.E.1
Nemirovskii, A.S.2
-
26
-
-
0032222088
-
Primal-dual interior-point methods for self-scaled cones
-
Y. E. NESTEROV AND M. TODD, Primal-dual interior-point methods for self-scaled cones, SIAM J. Optim., 8 (1998), pp. 324-364.
-
(1998)
SIAM J. Optim.
, vol.8
, pp. 324-364
-
-
Nesterov, Y.E.1
Todd, M.2
-
27
-
-
0031073753
-
Self-scaled barriers and interior-point methods for convex programming
-
Y. E. NESTEROV AND M. TODD, Self-scaled barriers and interior-point methods for convex programming, Math. Oper. Res., 22 (1997), pp. 1-42.
-
(1997)
Math. Oper. Res.
, vol.22
, pp. 1-42
-
-
Nesterov, Y.E.1
Todd, M.2
-
28
-
-
85033889273
-
A superlinearly convergent primal-dual infeasible-interior-point algorithm for semidefinite programming
-
to appear
-
F. A. POTRA AND R. SHENG, A superlinearly convergent primal-dual infeasible-interior-point algorithm for semidefinite programming, SIAM J. Optim., to appear.
-
SIAM J. Optim.
-
-
Potra, F.A.1
Sheng, R.2
-
29
-
-
0039924897
-
-
Report 9554/A, Econometric Institute, Erasmus University, Rotterdam, The Netherlands, November
-
J. F. STURM AND S. ZHANG, Symmetric Primal-dual Path-following Algorithms for Semidefinite Programming, Report 9554/A, Econometric Institute, Erasmus University, Rotterdam, The Netherlands, November 1995.
-
(1995)
Symmetric Primal-dual Path-following Algorithms for Semidefinite Programming
-
-
Sturm, J.F.1
Zhang, S.2
-
30
-
-
0032359979
-
On the Nesterov-Todd direction in semidefinite programming
-
M. J. TODD, K. C. TOH, AND R. H. TÜTÜNCÜ, On the Nesterov-Todd direction in semidefinite programming, SIAM J. Optim., 8 (1998), pp. 769-796.
-
(1998)
SIAM J. Optim.
, vol.8
, pp. 769-796
-
-
Todd, M.J.1
Toh, K.C.2
Tütüncü, R.H.3
-
31
-
-
85033880026
-
Search directions and convergence analysis of some infeasible path-following methods for the monotone semi-definite LCP
-
to appear
-
P. TSENG, Search directions and convergence analysis of some infeasible path-following methods for the monotone semi-definite LCP, Optim. Meth. and Software, to appear.
-
Optim. Meth. and Software
-
-
Tseng, P.1
-
32
-
-
0029338589
-
A primal-dual potential reduction method for problems involving matrix inequalities
-
L. VANDENBERGHE 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
-
-
Vandenberghe, L.1
Boyd, S.2
-
33
-
-
0025445807
-
A class of protective transformations for linear programming
-
Y. YE, A class of protective transformations for linear programming, SIAM J. Comput., 19 (1990), pp. 457-466.
-
(1990)
SIAM J. Comput.
, vol.19
, pp. 457-466
-
-
Ye, Y.1
-
34
-
-
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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