-
1
-
-
0020702681
-
Numerical methods for nondifferentiable convex optimization
-
[Au87]
-
[Au87] A. AUSLENDER, Numerical methods for nondifferentiable convex optimization, Math. Program. Study, 30 (1987), pp. 102-126.
-
(1987)
Math. Program. Study
, vol.30
, pp. 102-126
-
-
Auslender, A.1
-
2
-
-
0002281861
-
How to deal with the unbounded in optimization: Theory and algorithms
-
[Au97]
-
[Au97] A. AUSLENDER, How to deal with the unbounded in optimization: Theory and algorithms, Math. Programming, 79 (1997), pp. 3-18.
-
(1997)
Math. Programming
, vol.79
, pp. 3-18
-
-
Auslender, A.1
-
3
-
-
0001312570
-
Convex functions with unbounded level sets and applications to duality theory
-
[ACC93]
-
[ACC93] A. AUSLENDER, R. COMINETTI, AND J.-P. CROUZEIX: Convex functions with unbounded level sets and applications to duality theory, SIAM J. Optim., 3 (1993), pp. 669-687.
-
(1993)
SIAM J. Optim.
, vol.3
, pp. 669-687
-
-
Auslender, A.1
Cominetti, R.2
Crouzeix, J.-P.3
-
4
-
-
0013469162
-
-
[Be96] Ph.D. Thesis, Département de Mathématiques et de Génie Industriel, École Polytechnique de Montreal, Montreal, QC, Canada
-
[Be96] C. BERGER, Contribution à l'Optimisation Non-Différentiable et à la Décomposition en Programmation Mathématique, Ph.D. Thesis, Département de Mathématiques et de Génie Industriel, École Polytechnique de Montreal, Montreal, QC, Canada, 1996.
-
(1996)
Contribution à l'Optimisation Non-Différentiable et à la Décomposition en Programmation Mathématique
-
-
Berger, C.1
-
5
-
-
0000932326
-
Towards minimal assumptions for the infimal convolution regularization
-
[BPP91]
-
[BPP91] M. BOUGEARD, J.-P. PENOT, AND A. POMMELET, Towards minimal assumptions for the infimal convolution regularization, J. Approx. Theory, 64 (1991), pp. 245-270.
-
(1991)
J. Approx. Theory
, vol.64
, pp. 245-270
-
-
Bougeard, M.1
Penot, J.-P.2
Pommelet, A.3
-
6
-
-
33646971357
-
Convergence of some algorithms for convex minimization
-
[GL93]
-
[GL93] R. CORREA AND C. LEMARÉCHAL, Convergence of some algorithms for convex minimization, Math. Programming, 62 (1993), pp. 261-275.
-
(1993)
Math. Programming
, vol.62
, pp. 261-275
-
-
Correa, R.1
Lemaréchal, C.2
-
7
-
-
0000433247
-
Convergence analysis of a proximal-like minimization algorithm using Bregman functions
-
[CT93]
-
[CT93] G. CHEN AND M. TEBOULLE, Convergence analysis of a proximal-like minimization algorithm using Bregman functions, SIAM J. Optim., 3 (1993), pp. 538-543.
-
(1993)
SIAM J. Optim.
, vol.3
, pp. 538-543
-
-
Chen, G.1
Teboulle, M.2
-
8
-
-
0035885267
-
Bundle-based relaxation methods for multieommodity eapacitated fixed charge network design problems
-
[CFC01]
-
[CFC01] T.G. CRAINIC, A. FRANGIONI, AND B. GENDRON, Bundle-based relaxation methods for multieommodity eapacitated fixed charge network design problems, Discrete Appl. Math., 112 (2001), pp. 73-99.
-
(2001)
Discrete Appl. Math.
, vol.112
, pp. 73-99
-
-
Crainic, T.G.1
Frangioni, A.2
Gendron, B.3
-
9
-
-
0001702688
-
Nonlinear proximal point algorithms using Bregman functions with applications to convex programming
-
[Ec93]
-
[Ec93] J. ECKSTEIN, Nonlinear proximal point algorithms using Bregman functions with applications to convex programming, Math. Oper. Res., 18 (1993), pp. 292-226.
-
(1993)
Math. Oper. Res.
, vol.18
, pp. 292-226
-
-
Eckstein, J.1
-
10
-
-
0030284068
-
Solving semidefinite quadratic problems within nonsmooth optimization algorithms
-
[Fr96]
-
[Fr96] A. FRANGIONI, Solving semidefinite quadratic problems within nonsmooth optimization algorithms, Comput. Oper. Res., 23 (1996), pp. 1099-1118.
-
(1996)
Comput. Oper. Res.
, vol.23
, pp. 1099-1118
-
-
Frangioni, A.1
-
11
-
-
0003589428
-
-
[Fr97] Ph.D. Dissertation, TD 5/97, Dipartimento di Informatica, Università di Pisa, Pisa, Italy
-
[Fr97] A. FRANGIONI, Dual Ascent Methods and Multicommodity Flow Problems, Ph.D. Dissertation, TD 5/97, Dipartimento di Informatica, Università di Pisa, Pisa, Italy, 1997.
-
(1997)
Dual Ascent Methods and Multicommodity Flow Problems
-
-
Frangioni, A.1
-
12
-
-
0002570879
-
-
[Fr98] Technical report TR 04/98, Dipartimento di Informatica, Università di Pisa, Pisa, Italy
-
[Fr98] A. FRANGIONI, Generalized Bundle Methods, Technical report TR 04/98, Dipartimento di Informatica, Università di Pisa, Pisa, Italy, 1998.
-
(1998)
Generalized Bundle Methods
-
-
Frangioni, A.1
-
13
-
-
0013502737
-
-
[Fu98] Ph.D. Thesis, DEIS, Università della Calabria, Calabria, Italy
-
[Fu98] A. FUDULI, Metodi Numerici per la Minimizzazione di Funzioni Convesse NonDifferenziabili, Ph.D. Thesis, DEIS, Università della Calabria, Calabria, Italy, 1998.
-
(1998)
Metodi Numerici per la Minimizzazione di Funzioni Convesse NonDifferenziabili
-
-
Fuduli, A.1
-
14
-
-
21844527358
-
An exponential-function reduction method for block-angular convex programs
-
[GK95]
-
[GK95] M.D. GRIGORIADIS AND L. G. KAHCHIYAN, An exponential-function reduction method for block-angular convex programs, Networks, 26 (1995), pp. 59-68.
-
(1995)
Networks
, vol.26
, pp. 59-68
-
-
Grigoriadis, M.D.1
Kahchiyan, L.G.2
-
15
-
-
0026082298
-
Quadratic approximations in convex nondifferentiable optimization
-
[GM91]
-
[GM91] M. GAUDIOSO AND M. F. MONACO, Quadratic approximations in convex nondifferentiable optimization, SIAM J. Control Optim., 29 (1991), pp. 58-70.
-
(1991)
SIAM J. Control Optim.
, vol.29
, pp. 58-70
-
-
Gaudioso, M.1
Monaco, M.F.2
-
16
-
-
0013469319
-
-
[GV97] Logilab Technical report, 1997.1, Paris, France
-
[GV97] J. GONDZIO AND J.-P. VIAL, Warm Start and ε-Subgradients in Cutting Plane Scheme for Block-angular Linear Programs, Logilab Technical report, 1997.1, Paris, France, 1997.
-
(1997)
Warm Start and ε-Subgradients in Cutting Plane Scheme for Block-angular Linear Programs
-
-
Gondzio, J.1
Vial, J.-P.2
-
17
-
-
0003316862
-
Convex analysis and minimization algorithms I - Fundamentals
-
[HL93a] Springer-Verlag, New York
-
[HL93a] J.-B. HIRIART-URRUTY AND C. LEMARÉCHAL, Convex Analysis and Minimization Algorithms I-Fundamentals, Grundlehren Math. Wiss. 305, Springer-Verlag, New York, 1993.
-
(1993)
Grundlehren Math. Wiss.
, vol.305
-
-
Hiriart-Urruty, J.-B.1
Lemaréchal, C.2
-
18
-
-
0003316862
-
Convex analysis and minimization algorithms II - Advanced theory and bundle methods
-
[HL93b] Springer-Verlag, New York
-
[HL93b] J.-B. HIRIART-URRUTY AND C. LEMARÉCHAL, Convex Analysis and Minimization Algorithms II-Advanced Theory and Bundle Methods, Grundlehren Math. Wiss. 306, Springer-Verlag, New York, 1993.
-
(1993)
Grundlehren Math. Wiss.
, vol.306
-
-
Hiriart-Urruty, J.-B.1
Lemaréchal, C.2
-
19
-
-
0000148237
-
Entropy-like proximal methods in convex programming
-
[IST94]
-
[IST94] A.N. IUSEM, B. F. SVAITER, AND M. TEBOULLE, Entropy-like proximal methods in convex programming, Math. Oper. Res., 19 (1994), pp. 790-814.
-
(1994)
Math. Oper. Res.
, vol.19
, pp. 790-814
-
-
Iusem, A.N.1
Svaiter, B.F.2
Teboulle, M.3
-
20
-
-
0000019392
-
Convergence rate analysis of nonquadratic proximal methods for convex and linear programming
-
[IT95]
-
[IT95] A.N. IUSEM AND M. TEBOULLE, Convergence rate analysis of nonquadratic proximal methods for convex and linear programming, Math. Oper. Res., 20 (1994), pp. 657-677.
-
(1994)
Math. Oper. Res.
, vol.20
, pp. 657-677
-
-
Iusem, A.N.1
Teboulle, M.2
-
21
-
-
0000121139
-
A dual method for certain positive semidefinite quadratic programming problems
-
[Ki89]
-
[Ki89] K.C. KIWlEL, A dual method for certain positive semidefinite quadratic programming problems, SIAM J. Sci. Statist. Comput., 10 (1989), pp. 175-186.
-
(1989)
SIAM J. Sci. Statist. Comput.
, vol.10
, pp. 175-186
-
-
Kiwlel, K.C.1
-
22
-
-
21844495838
-
Approximations in proximal bundle methods and decomposition of convex programs
-
[Ki95]
-
[Ki95] K.C. KIWIEL, Approximations in proximal bundle methods and decomposition of convex programs, J. Optim. Theory Appl., 84 (1997), pp. 529-548.
-
(1997)
J. Optim. Theory Appl.
, vol.84
, pp. 529-548
-
-
Kiwiel, K.C.1
-
23
-
-
0031190440
-
Proximal minimization methods with generalized Bregman functions
-
[Ki98]
-
[Ki98] K. KIWIEL, Proximal minimization methods with generalized Bregman functions, SIAM J. Control Optim., 35 (1997), pp. 1142-1168.
-
(1997)
SIAM J. Control Optim.
, vol.35
, pp. 1142-1168
-
-
Kiwiel, K.1
-
24
-
-
0000813954
-
A bundle Bregman proximal method for convex nondifferentiable optimization
-
[Ki99]
-
[Ki99] K. KIWIEL, A bundle Bregman proximal method for convex nondifferentiable optimization, Math. Program., 85 (1999), pp. 241-258.
-
(1999)
Math. Program.
, vol.85
, pp. 241-258
-
-
Kiwiel, K.1
-
25
-
-
0029184252
-
A descent method with linear programming subproblems for nondifferentiable convex optimization
-
[KCL95]
-
[KCL95] S. KIM, K. N. CHANG, AND J. Y. LEE, A descent method with linear programming subproblems for nondifferentiable convex optimization, Math. Programming, 71 (1995), pp. 17-28.
-
(1995)
Math. Programming
, vol.71
, pp. 17-28
-
-
Kim, S.1
Chang, K.N.2
Lee, J.Y.3
-
26
-
-
0029336189
-
New variants of bundle methods
-
[LNN95]
-
[LNN95] C. LEMARÉCHAL, A. NEMIROVSKII, AND Y. NESTEROV, New variants of bundle methods, Math. Programming, 69 (1995), pp. 111-147.
-
(1995)
Math. Programming
, vol.69
, pp. 111-147
-
-
Lemaréchal, C.1
Nemirovskii, A.2
Nesterov, Y.3
-
27
-
-
0000275440
-
Variable metric bundle methods: From conceptual to implementable forms
-
[LS98]
-
[LS98] C. LEMARÉCHAL AND C. SAGASTIZÀBAL, Variable metric bundle methods: From conceptual to implementable forms, Math. Programming, 16 (1997), pp. 393-410.
-
(1997)
Math. Programming
, vol.16
, pp. 393-410
-
-
Lemaréchal, C.1
Sagastizàbal, C.2
-
28
-
-
0002450587
-
A bundle-Newton method for nonsmooth unconstrained optimization
-
[LV98]
-
[LV98] L. LUKSAN AND J. VLCEK, A bundle-Newton method for nonsmooth unconstrained optimization, Math. Programming, 83 (1998), pp. 373-391.
-
(1998)
Math. Programming
, vol.83
, pp. 373-391
-
-
Luksan, L.1
Vlcek, J.2
-
29
-
-
0032222087
-
Quasi-Newton bundle-type methods for nondifferentiable convex optimization
-
[MSQ98]
-
[MSQ98] R. MIFFLIN, D. SUN, AND L. QI, Quasi-Newton bundle-type methods for nondifferentiable convex optimization, SIAM J. Optim., 8 (1998), pp. 583-603.
-
(1998)
SIAM J. Optim.
, vol.8
, pp. 583-603
-
-
Mifflin, R.1
Sun, D.2
Qi, L.3
-
30
-
-
0029338609
-
Complexity estimates of some cutting plane methods based on the analytic barrier
-
[Ne95]
-
[Ne95] Y. NESTEROV, Complexity estimates of some cutting plane methods based on the analytic barrier, Math. Programming, 69 (1995), pp. 149-176.
-
(1995)
Math. Programming
, vol.69
, pp. 149-176
-
-
Nesterov, Y.1
-
31
-
-
0013543222
-
Separating plane algorithms for convex optimization
-
[Nu97]
-
[Nu97] E.A. NURMINSKI, Separating plane algorithms for convex optimization, Math. Programming, 76 (1997), pp. 373-391.
-
(1997)
Math. Programming
, vol.76
, pp. 373-391
-
-
Nurminski, E.A.1
-
33
-
-
0026882694
-
Parallel decomposition of multicommodity network flows using a linear-quadratic penalty algorithm
-
[PZ92]
-
[PZ92] M.C. PINAR AND S. A. ZENIOS, Parallel decomposition of multicommodity network flows using a linear-quadratic penalty algorithm, ORSA J. Comput., 4 (1992), pp. 235-248.
-
(1992)
ORSA J. Comput.
, vol.4
, pp. 235-248
-
-
Pinar, M.C.1
Zenios, S.A.2
-
34
-
-
0000727832
-
On smoothing exact penalty functions for convex constrained optimization
-
[PZ94]
-
[PZ94] M.C. PINAR AND S. A. ZENIOS, On smoothing exact penalty functions for convex constrained optimization, SIAM J. Optim., 4 (1994), pp. 486-511.
-
(1994)
SIAM J. Optim.
, vol.4
, pp. 486-511
-
-
Pinar, M.C.1
Zenios, S.A.2
-
35
-
-
0004267646
-
-
[Ro70] Princeton University Press, Princeton, Nj
-
[Ro70] R.T. ROCKAFELLAR., Convex Analysis, Princeton University Press, Princeton, NJ, 1970.
-
(1970)
Convex Analysis
-
-
Rockafellar, R.T.1
-
36
-
-
0000091855
-
A version of the bundle idea for minimizing a nonsmooth function: Conceptual idea, convergence analysis, numerical results
-
[SZ92]
-
[SZ92] H. SCHRAMM AND J. ZOWE, A version of the bundle idea for minimizing a nonsmooth function: Conceptual idea, convergence analysis, numerical results, SIAM J. Optim, 2 (1992), pp. 121-152.
-
(1992)
SIAM J. Optim
, vol.2
, pp. 121-152
-
-
Schramm, H.1
Zowe, J.2
-
37
-
-
0031285685
-
Convergence of proximal-like algorithms
-
[Te97]
-
[Te97] M. TEBOULLE, Convergence of proximal-like algorithms, SIAM J. Optim., 7 (1997), pp. 1069-1083.
-
(1997)
SIAM J. Optim.
, vol.7
, pp. 1069-1083
-
-
Teboulle, M.1
|