-
1
-
-
0003169116
-
Interior point methods in semidefinite programming with application to combinatorial optimization
-
Alizadeh, F.: Interior point methods in semidefinite programming with application to combinatorial optimization. SIAM J. Optim. 5, 13-51 (1995)
-
(1995)
SIAM J. Optim.
, vol.5
, pp. 13-51
-
-
Alizadeh, F.1
-
2
-
-
0032327612
-
Primal-dual interior point methods for semidefinite programming: Convergence rates, stability and numerical results
-
Alizadeh, F., Haeberly, J.-P.A., Overton, M.L.: Primal-dual interior point methods for semidefinite programming: convergence rates, stability and numerical results. SIAM J. Optim. 8, 746-768 (1998)
-
(1998)
SIAM J. Optim.
, vol.8
, pp. 746-768
-
-
Alizadeh, F.1
Haeberly, J.-P.A.2
Overton, M.L.3
-
3
-
-
0033269653
-
Penalty and barrier methods: A unified framework
-
Auslender, A.: Penalty and barrier methods: a unified framework. SIAM J. Optim. 10, 211-230 (1999)
-
(1999)
SIAM J. Optim.
, vol.10
, pp. 211-230
-
-
Auslender, A.1
-
4
-
-
0004151496
-
-
Springer-Verlag, New York
-
Bhatia, R.: Matrix Analysis, Springer-Verlag, New York, 1997
-
(1997)
Matrix Analysis
-
-
Bhatia, R.1
-
5
-
-
0032131487
-
The global linear convergence of a non-interior path-following algorithm for linear complementarity problems
-
Burke, J., Xu, S.: The global linear convergence of a non-interior path-following algorithm for linear complementarity problems. Math. Oper. Res. 23, 719-734 (1998)
-
(1998)
Math. Oper. Res.
, vol.23
, pp. 719-734
-
-
Burke, J.1
Xu, S.2
-
6
-
-
0002061286
-
A Non-interior predictor-corrector path-following method for LCP
-
M. Fukushima, L. Qi (ed), Kluwer Academic Publishers, Boston
-
Burke, J., Xu, S.: A Non-interior predictor-corrector path-following method for LCP. In: Reformulation-Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods M. Fukushima, L. Qi (ed), Kluwer Academic Publishers, Boston, pp. 45-63, 1999
-
(1999)
Reformulation-nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods
, pp. 45-63
-
-
Burke, J.1
Xu, S.2
-
7
-
-
33751111402
-
The complexity of a non-interior path following method for the linear complementarity problem
-
Report, Department of Mathematics, University of Washington, Seattle (September; revised April). to appear
-
Burke, J., Xu, S.: The complexity of a non-interior path following method for the linear complementarity problem, Report, Department of Mathematics, University of Washington, Seattle (September 2000; revised April 2001). J. Optim. Theory Appl. to appear
-
(2000)
J. Optim. Theory Appl.
-
-
Burke, J.1
Xu, S.2
-
8
-
-
0035529806
-
0-type and monotone nonlinear complementarity problems
-
0-type and monotone nonlinear complementarity problems. J. Optim. Theory Appl. 108, 297-316 (2001)
-
(2001)
J. Optim. Theory Appl.
, vol.108
, pp. 297-316
-
-
Chen, B.1
-
9
-
-
0034476547
-
A global linear and local quadratic continuation smoothing method for variational inequalities with box constraints
-
Chen, B., Chen, X.-J.: A global linear and local quadratic continuation smoothing method for variational inequalities with box constraints. Comput. Optim. Appl. 17, 131-158 (2000)
-
(2000)
Comput. Optim. Appl.
, vol.17
, pp. 131-158
-
-
Chen, B.1
Chen, X.-J.2
-
11
-
-
21344485287
-
A non-interior-point continuation method for linear complementarity problems
-
Chen, B., Harker, P.T.: A non-interior-point continuation method for linear complementarity problems. SIAM J. Matrix Anal. Appl. 14, 1168-1190 (1993)
-
(1993)
SIAM J. Matrix Anal. Appl.
, vol.14
, pp. 1168-1190
-
-
Chen, B.1
Harker, P.T.2
-
12
-
-
0001067548
-
A continuation method for monotone variational inequalities
-
Chen, B., Harker, P.T.: A continuation method for monotone variational inequalities. Math. Program. 69, 237-253 (1995)
-
(1995)
Math. Program.
, vol.69
, pp. 237-253
-
-
Chen, B.1
Harker, P.T.2
-
13
-
-
0031493118
-
Smooth approximations to nonlinear complementarity problems
-
Chen, B., Harker, P.T.: Smooth approximations to nonlinear complementarity problems. SIAM J. Optim. 7, 403-420 (1997)
-
(1997)
SIAM J. Optim.
, vol.7
, pp. 403-420
-
-
Chen, B.1
Harker, P.T.2
-
14
-
-
0040531597
-
A global linear and local quadratic non-interior continuation method for nonlinear complementarity problems based on Chen-Mangasarian smoothing function
-
Chen, B., Xiu, N.: A global linear and local quadratic non-interior continuation method for nonlinear complementarity problems based on Chen-Mangasarian smoothing function. SIAM J. Optim. 9, 605-623 (1999)
-
(1999)
SIAM J. Optim.
, vol.9
, pp. 605-623
-
-
Chen, B.1
Xiu, N.2
-
15
-
-
0029206129
-
Smoothing methods for convex inequalities and linear complementarity problems
-
Chen, C., Mangasarian, O.L.: Smoothing methods for convex inequalities and linear complementarity problems. Math. Program. 71, 51-69 (1995)
-
(1995)
Math. Program.
, vol.71
, pp. 51-69
-
-
Chen, C.1
Mangasarian, O.L.2
-
16
-
-
0030104686
-
A class of smoothing functions for nonlinear and mixed complementarity problems
-
Chen, C., Mangasarian, O.L.: A class of smoothing functions for nonlinear and mixed complementarity problems. Comput. Optim. Appl. 5, 97-138 (1996)
-
(1996)
Comput. Optim. Appl.
, vol.5
, pp. 97-138
-
-
Chen, C.1
Mangasarian, O.L.2
-
17
-
-
0032380644
-
Global and superlinear convergence of the smoothing Newton method and its application to general box constrained variational inequalities
-
Chen, X.-J., Qi, L., Sun, D.: Global and superlinear convergence of the smoothing Newton method and its application to general box constrained variational inequalities. Math. Comput. 67, 519-540 (1998)
-
(1998)
Math. Comput.
, vol.67
, pp. 519-540
-
-
Chen, X.-J.1
Qi, L.2
Sun, D.3
-
18
-
-
0345148378
-
On homotopy-smoothing methods for box-constrained variational inequalities
-
Chen, X.-J., Ye, Y.: On homotopy-smoothing methods for box-constrained variational inequalities. SIAM J. Control Optim. 37, 589-616 (1999)
-
(1999)
SIAM J. Control Optim.
, vol.37
, pp. 589-616
-
-
Chen, X.-J.1
Ye, Y.2
-
19
-
-
0003735415
-
-
Academic Press, New York, New York
-
Cottle, R.W., Pang, J.-S., Stone, R.E.: The Linear Complementarity Problem, Academic Press, New York, New York, 1992
-
(1992)
The Linear Complementarity Problem
-
-
Cottle, R.W.1
Pang, J.-S.2
Stone, R.E.3
-
20
-
-
0003800218
-
-
Ferris, M.C., Pang, J.-S. (eds), SIAM Publishing, Philadelphia, Pennsylvania
-
Ferris, M.C., Pang, J.-S. (eds): Complementarity and Variational Problems: State of the Art, SIAM Publishing, Philadelphia, Pennsylvania, 1997
-
(1997)
Complementarity and Variational Problems: State of the Art
-
-
-
21
-
-
0032047752
-
A globally convergent sequential quadratic programming algorithm for mathematical programs with linear complementarity constraints
-
Fukushima, M., Luo, Z.-Q., Pang, J.-S.: A globally convergent sequential quadratic programming algorithm for mathematical programs with linear complementarity constraints. Comput. Optim. Appl. 10, 5-34 (1998)
-
(1998)
Comput. Optim. Appl.
, vol.10
, pp. 5-34
-
-
Fukushima, M.1
Luo, Z.-Q.2
Pang, J.-S.3
-
22
-
-
0003895149
-
-
Fukushima, M., Qi, L. (eds), Kluwer Academic Publishers, Boston
-
Fukushima, M., Qi, L. (eds): Reformulation - Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods, Kluwer Academic Publishers, Boston, 1999
-
(1999)
Reformulation - Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods
-
-
-
23
-
-
0002579086
-
Smoothing of mixed complementarity problems
-
M.C. Ferris, J.-S. Pang (eds), SIAM Publishing, Philadelphia, Pennsylvania
-
Gabriel, S.A., Moré, J.J.: Smoothing of mixed complementarity problems. In: Complementarity and Variational Problems: State of the Art, M.C. Ferris, J.-S. Pang (eds), SIAM Publishing, Philadelphia, Pennsylvania, pp. 105-116, 1997
-
(1997)
Complementarity and Variational Problems: State of the Art
, pp. 105-116
-
-
Gabriel, S.A.1
Moré, J.J.2
-
24
-
-
0004151494
-
-
Cambridge University Press, Cambridge, United Kingdom
-
Horn, R.A., Johnson, C.R.: Matrix Analysis, Cambridge University Press, Cambridge, United Kingdom, 1985
-
(1985)
Matrix Analysis
-
-
Horn, R.A.1
Johnson, C.R.2
-
25
-
-
0003952516
-
-
Cambridge University Press, Cambridge, United Kingdom
-
Horn, R.A., Johnson, C.R.: Topics in Matrix Analysis, Cambridge University Press, Cambridge, United Kingdom, 1991
-
(1991)
Topics in Matrix Analysis
-
-
Horn, R.A.1
Johnson, C.R.2
-
26
-
-
0001467861
-
Global convergence of a class of non-interior point algorithms using Chen-Harker-Kanzow-Smale functions for nonlinear complementarity problems
-
Hotta, K., Yoshise, A.: Global convergence of a class of non-interior point algorithms using Chen-Harker-Kanzow-Smale functions for nonlinear complementarity problems. Math. Program. 86, 105-133 (1999)
-
(1999)
Math. Program.
, vol.86
, pp. 105-133
-
-
Hotta, K.1
Yoshise, A.2
-
27
-
-
0033265683
-
On the local convergence of a predictor-corrector method for semidefinite programming
-
Ji, J., Potra, F., Sheng, R.: On the local convergence of a predictor-corrector method for semidefinite programming. SIAM J. Optim. 10, 195-210 (1999)
-
(1999)
SIAM J. Optim.
, vol.10
, pp. 195-210
-
-
Ji, J.1
Potra, F.2
Sheng, R.3
-
28
-
-
0030517292
-
Some noninterior continuation methods for linear complementarity problems
-
Kanzow, C.: Some noninterior continuation methods for linear complementarity problems. SIAM J. Matrix Anal. Appl. 17, 851-868 (1996)
-
(1996)
SIAM J. Matrix Anal. Appl.
, vol.17
, pp. 851-868
-
-
Kanzow, C.1
-
29
-
-
0031078565
-
A new approach to continuation methods for complementarity problems with uniform P-functions
-
Kanzow, C.: A new approach to continuation methods for complementarity problems with uniform P-functions. Oper. Res. Letters, 20, 85-92 (1997)
-
(1997)
Oper. Res. Letters
, vol.20
, pp. 85-92
-
-
Kanzow, C.1
-
30
-
-
0031513640
-
New NCP-functions and their properties
-
Kanzow, C., Yamashita, N., Fukushima, M.: New NCP-functions and their properties. J. Optim. Theory Appl. 94, 115-135 (1997)
-
(1997)
J. Optim. Theory Appl.
, vol.94
, pp. 115-135
-
-
Kanzow, C.1
Yamashita, N.2
Fukushima, M.3
-
31
-
-
0031542833
-
Interior-point methods for the monotone semidefinite linear complementarity problems
-
Kojima, M., Shindoh S., Hara, S.: Interior-point methods for the monotone semidefinite linear complementarity problems. SIAM J. Optim. 7, 86-125 (1997)
-
(1997)
SIAM J. Optim.
, vol.7
, pp. 86-125
-
-
Kojima, M.1
Shindoh, S.2
Hara, S.3
-
32
-
-
0000376618
-
Local convergence of predictor-corrector infeasible interior-point algorithms for SDPs and SDLCPs
-
Kojima, M., Shida, M., Shindoh, S.: Local convergence of predictor-corrector infeasible interior-point algorithms for SDPs and SDLCPs. Math. Program. 80, 129-160 (1998)
-
(1998)
Math. Program.
, vol.80
, pp. 129-160
-
-
Kojima, M.1
Shida, M.2
Shindoh, S.3
-
33
-
-
0033439651
-
A predictor-corrector interior-point algorithms for the semidefinite linear complementarity problem using the Alizadeh-Haeberly-Overton search direction
-
Kojima, M., Shida, M., Shindoh S.: A predictor-corrector interior-point algorithms for the semidefinite linear complementarity problem using the Alizadeh-Haeberly-Overton search direction. SIAM J. Optim. 9, 444-465 (1999)
-
(1999)
SIAM J. Optim.
, vol.9
, pp. 444-465
-
-
Kojima, M.1
Shida, M.2
Shindoh, S.3
-
34
-
-
0003128905
-
A new class of merit functions for the nonlinear complementarity problem
-
M.C. Ferris, J.-S.Pang (eds), SIAM Publishing, Philadelphia, Pennsylvania
-
Luo, Z.-Q., Tseng, P.: A new class of merit functions for the nonlinear complementarity problem, In: Complementarity and Variational Problems: State of the Art, M.C. Ferris, J.-S.Pang (eds), SIAM Publishing, Philadelphia, Pennsylvania, pp. 204-225, 1997
-
(1997)
Complementarity and Variational Problems: State of the Art
, pp. 204-225
-
-
Luo, Z.-Q.1
Tseng, P.2
-
35
-
-
0033421616
-
Polynomial convergence of a new family of primal-dual algorithms for semidefinite programming
-
Monteiro, R.D.C., Tsuchiya, T.: Polynomial convergence of a new family of primal-dual algorithms for semidefinite programming. SIAM J. Optim. 9, 551-577 (1999)
-
(1999)
SIAM J. Optim.
, vol.9
, pp. 551-577
-
-
Monteiro, R.D.C.1
Tsuchiya, T.2
-
36
-
-
1642633464
-
Implementation of primal-dual methods for semidefinite programming based on Monteiro and Tsuchiya Newton directions and their variants
-
Monteiro, R.D.C., Zanjácomo, P.: Implementation of primal-dual methods for semidefinite programming based on Monteiro and Tsuchiya Newton directions and their variants. Optim. Methods Software 11/12, 91-140 (1999)
-
(1999)
Optim. Methods Software
, vol.11-12
, pp. 91-140
-
-
Monteiro, R.D.C.1
Zanjácomo, P.2
-
38
-
-
0032222088
-
Primal-dual interior-point methods for self-scaled cones
-
Nesterov, Y.E., Todd, M.J.: Primal-dual interior-point methods for self-scaled cones. SIAM J. Optim. 8, 324-364 (1998)
-
(1998)
SIAM J. Optim.
, vol.8
, pp. 324-364
-
-
Nesterov, Y.E.1
Todd, M.J.2
-
39
-
-
0001170028
-
A Posteriori error bounds for the linearly-constrained variational inequality problem
-
Pang, J.-S.: A Posteriori error bounds for the linearly-constrained variational inequality problem. Math. Oper. Res. 12, 474-484 (1987)
-
(1987)
Math. Oper. Res.
, vol.12
, pp. 474-484
-
-
Pang, J.-S.1
-
40
-
-
0000150038
-
Error bounds in mathematical programming
-
Pang, J.-S.: Error bounds in mathematical programming. Math. Program. 79, 299-332 (1997)
-
(1997)
Math. Program.
, vol.79
, pp. 299-332
-
-
Pang, J.-S.1
-
41
-
-
0242671725
-
Monotone semidefinite complementarity problems
-
Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Tokyo (March ; revised April 1996)
-
Shida, M., Shindoh, S.: Monotone semidefinite complementarity problems. Research Report 312, Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Tokyo (March 1996; revised April 1996)
-
(1996)
Research Report
, vol.312
-
-
Shida, M.1
Shindoh, S.2
-
42
-
-
0002125047
-
Algorithms for solving equations
-
A.M. Gleason (eds), American Mathematical Society, Providence, Rhode Island
-
Smale, S.: Algorithms for solving equations. In: Proceedings of the International Congress of Mathematicians, A.M. Gleason (eds), American Mathematical Society, Providence, Rhode Island pp. 172-195, 1987
-
(1987)
Proceedings of the International Congress of Mathematicians
, pp. 172-195
-
-
Smale, S.1
-
44
-
-
0033296734
-
A study of search directions in primal-dual interior-point methods for semidefinite programming
-
Todd, M.J.: A study of search directions in primal-dual interior-point methods for semidefinite programming. Optim. Methods Software 11, 1-46 (1999)
-
(1999)
Optim. Methods Software
, vol.11
, pp. 1-46
-
-
Todd, M.J.1
-
45
-
-
0033295027
-
3 - A Matlab software package for semidefinite programming
-
3 - a Matlab software package for semidefinite programming. Optim. Methods Software 11, 545-581 (1999)
-
(1999)
Optim. Methods Software
, vol.11
, pp. 545-581
-
-
Toh, K.C.1
Todd, M.J.2
-
46
-
-
0030536279
-
Growth behavior of a class of merit functions for the nonlinear complementarity problem
-
Tseng, P.: Growth behavior of a class of merit functions for the nonlinear complementarity problem. J. Optim. Theory Appl. 89, 17-37 (1996)
-
(1996)
J. Optim. Theory Appl.
, vol.89
, pp. 17-37
-
-
Tseng, P.1
-
47
-
-
0031533899
-
An infeasible path-following method for monotone complementarity problems
-
Tseng, P.: An infeasible path-following method for monotone complementarity problems. SIAM J. Optim. 7, 386-402 (1997)
-
(1997)
SIAM J. Optim.
, vol.7
, pp. 386-402
-
-
Tseng, P.1
-
48
-
-
0031628254
-
Search directions and convergence analysis of some infeasible path-following methods for the monotone semi-definite LCP
-
Tseng, P.: Search directions and convergence analysis of some infeasible path-following methods for the monotone semi-definite LCP. Optim. Methods Software 9, 245-268 (1998)
-
(1998)
Optim. Methods Software
, vol.9
, pp. 245-268
-
-
Tseng, P.1
-
49
-
-
0000882736
-
Merit functions for semi-definite complementarity problems
-
Tseng, P.: Merit functions for semi-definite complementarity problems. Math. Program. 83, 159-185 (1998)
-
(1998)
Math. Program.
, vol.83
, pp. 159-185
-
-
Tseng, P.1
-
50
-
-
0000697391
-
Analysis of a non-interior continuation method based on Chen-Mangasarian smoothing functions for complementarity problems
-
M. Fukushima, L. Qi (eds), Kluwer Academic Publishers, Boston
-
Tseng, P.: Analysis of a non-interior continuation method based on Chen-Mangasarian smoothing functions for complementarity problems. In: Reformulation - Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods, M. Fukushima, L. Qi (eds), Kluwer Academic Publishers, Boston, pp. 381-404, 1999
-
(1999)
Reformulation - Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods
, pp. 381-404
-
-
Tseng, P.1
-
51
-
-
0030106462
-
Semidefinite programming
-
Vandenberghe, L., Boyd, S.: Semidefinite programming. SIAM Review 38, 49-95 (1996)
-
(1996)
SIAM Review
, vol.38
, pp. 49-95
-
-
Vandenberghe, L.1
Boyd, S.2
-
52
-
-
0342608948
-
The global linear convergence an infeasible non-interior path-following algorithm for complementarity problems with uniform P-functions
-
Xu, S.: The global linear convergence an infeasible non-interior path-following algorithm for complementarity problems with uniform P-functions. Math. Program. 87, 501-517 (2000)
-
(2000)
Math. Program.
, vol.87
, pp. 501-517
-
-
Xu, S.1
-
53
-
-
0039069320
-
-
Preprint, Department of Mathematics, University of Washington, Seattle, Washington (February)
-
Xu, S.: The global linear convergence and complexity of a non-interior path-following algorithm for monotone LCP based on Chen-Harker-Kanzow-Smale smoothing functions, Preprint, Department of Mathematics, University of Washington, Seattle, Washington (February 1997)
-
(1997)
The Global Linear Convergence and Complexity of A Non-interior Path-following Algorithm for Monotone LCP Based on Chen-Harker-Kanzow-Smale Smoothing Functions
-
-
Xu, S.1
-
54
-
-
0013468266
-
A new merit function and a descent method for semidefinite complementarity problems
-
M. Fukushima, L. Qi (eds), Kluwer Academic Publishers, Boston
-
Yamashita, N., Fukushima, M.: A new merit function and a descent method for semidefinite complementarity problems. In: Reformulation - Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods, M. Fukushima, L. Qi (eds), Kluwer Academic Publishers, Boston, pp. 405-420, 1999
-
(1999)
Reformulation - Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods
, pp. 405-420
-
-
Yamashita, N.1
Fukushima, M.2
|