-
1
-
-
0020702681
-
Numerical methods for nondifferentiable convex optimization
-
Auslender, A.: Numerical methods for nondifferentiable convex optimization. Math. Programming Stud. 30, 102-126 (1987)
-
(1987)
Math. Programming Stud.
, vol.30
, pp. 102-126
-
-
Auslender, A.1
-
2
-
-
0347548264
-
Numerical optimization
-
Universitext. Springer-Verlag, Berlin
-
Bonnans, J., Gilbert, J., Lemaréchal, C., Sagastizábal, C.: Numerical Optimization. Theoretical and Practical Aspects. Universitext. Springer-Verlag, Berlin, 2003, Xiv+423 pp.
-
(2003)
Theoretical and Practical Aspects
-
-
Bonnans, J.1
Gilbert, J.2
Lemaréchal, C.3
Sagastizábal, C.4
-
3
-
-
0028319529
-
Representations of quasi-Newton matrices and their use in limited-memory methods
-
Byrd, R., Nocedal, J., Schnabel, R.: Representations of quasi-Newton matrices and their use in limited-memory methods. Math. Program. 63, 129-156 (1994)
-
(1994)
Math. Program.
, vol.63
, pp. 129-156
-
-
Byrd, R.1
Nocedal, J.2
Schnabel, R.3
-
4
-
-
0001106044
-
Proximal quasi-Newton methods for nondifferentiable convex optimization
-
Ser. A
-
Chen, X., Fukushima, M.: Proximal quasi-Newton methods for nondifferentiable convex optimization. Math. Program. 85 (2, Ser. A), 313-334 (1999)
-
(1999)
Math. Program.
, vol.85
, Issue.2
, pp. 313-334
-
-
Chen, X.1
Fukushima, M.2
-
5
-
-
0000882113
-
Newton's method for convex programming and Tchebycheff approximations
-
Cheney, E., Goldstein, A.: Newton's method for convex programming and Tchebycheff approximations. Numerische Mathematik 1, 253-268 (1959)
-
(1959)
Numerische Mathematik
, vol.1
, pp. 253-268
-
-
Cheney, E.1
Goldstein, A.2
-
6
-
-
33646971357
-
Convergence of some algorithms for convex minimization
-
Correa, R., Lemaréchal, C.: Convergence of some algorithms for convex minimization. Math. Program. 62 (2), 261-275 (1993)
-
(1993)
Math. Program.
, vol.62
, Issue.2
, pp. 261-275
-
-
Correa, R.1
Lemaréchal, C.2
-
7
-
-
0021503955
-
A descent algorithm for nonsmooth convex optimization
-
Fukushima, M.: A descent algorithm for nonsmooth convex optimization. Math. Program. 30, 163-175 (1984)
-
(1984)
Math. Program.
, vol.30
, pp. 163-175
-
-
Fukushima, M.1
-
8
-
-
0030508716
-
A globally and superlinearly convergent algorithm for nonsmooth convex minimization
-
Fukushima, M., Qi, L.: A globally and superlinearly convergent algorithm for nonsmooth convex minimization. SIAM J. Optimization 6, 1106-1120 (1996)
-
(1996)
SIAM J. Optimization
, vol.6
, pp. 1106-1120
-
-
Fukushima, M.1
Qi, L.2
-
9
-
-
34249975203
-
Some numerical experiments with variable-storage quasi-Newton algorithms
-
Gilbert, J., Lemaréchal, C.: Some numerical experiments with variable-storage quasi-Newton algorithms. Math. Program. 45, 407-435 (1989)
-
(1989)
Math. Program.
, vol.45
, pp. 407-435
-
-
Gilbert, J.1
Lemaréchal, C.2
-
10
-
-
6344259312
-
-
Ph.D. thesis, Department of Mathematics, Simon Fraser University. Preprint available at
-
Hare, W.: Nonsmooth Optimization with Smooth Substructure. Ph.D. thesis, Department of Mathematics, Simon Fraser University (2003). Preprint available at http://www.cecm.sfu.ca/~whare
-
(2003)
Nonsmooth Optimization with Smooth Substructure
-
-
Hare, W.1
-
12
-
-
0001547779
-
The cutting plane method for solving convex programs
-
Kelley, J.E.: The cutting plane method for solving convex programs. J. Soc. Indust. Appl. Math. 8, 703-712 (1960)
-
(1960)
J. Soc. Indust. Appl. Math.
, vol.8
, pp. 703-712
-
-
Kelley, J.E.1
-
13
-
-
0020912156
-
An aggregate subgradient method for nonsmooth convex minimization
-
Kiwiel, K.: An aggregate subgradient method for nonsmooth convex minimization. Math. Program. 27, 320-341 (1983)
-
(1983)
Math. Program.
, vol.27
, pp. 320-341
-
-
Kiwiel, K.1
-
14
-
-
0001260166
-
A method for solving certain quadratic programming problems arising in nonsmooth optimization
-
Kiwiel, K.: A method for solving certain quadratic programming problems arising in nonsmooth optimization. IMA Journal of Numerical Analysis 6, 137-152 (1986)
-
(1986)
IMA Journal of Numerical Analysis
, vol.6
, pp. 137-152
-
-
Kiwiel, K.1
-
15
-
-
0032333546
-
BFGS with update skipping and varying memory
-
Kolda, T., O'Leary, D., Nazareth, J.: BFGS with update skipping and varying memory. SIAM J. Optimization 8, 1060-1083 (1998)
-
(1998)
SIAM J. Optimization
, vol.8
, pp. 1060-1083
-
-
Kolda, T.1
O'Leary, D.2
Nazareth, J.3
-
16
-
-
0020301983
-
Global and superlinear convergence of an algorithm for one-dimensional minimization of convex functions
-
Lemaréchal, C., Mifflin, R.: Global and superlinear convergence of an algorithm for one-dimensional minimization of convex functions. Math. Program. 24, 241-256 (1982)
-
(1982)
Math. Program.
, vol.24
, pp. 241-256
-
-
Lemaréchal, C.1
Mifflin, R.2
-
17
-
-
18144452970
-
Growth conditions and Μ-Lagrangians
-
Lemaréchal, C., Oustry, F.: Growth conditions and Μ-Lagrangians. Set-Valued Analysis 9 (1/2), 123-129 (2001)
-
(2001)
Set-valued Analysis
, vol.9
, Issue.1-2
, pp. 123-129
-
-
Lemaréchal, C.1
Oustry, F.2
-
18
-
-
0039727262
-
The Μ-Lagrangian of a convex function
-
Lemaréchal, C., Oustry, F., Sagastizábal, C.: The Μ-Lagrangian of a convex function. Trans. Am. Math. Soc. 352 (2), 711-729 (2000)
-
(2000)
Trans. Am. Math. Soc.
, vol.352
, Issue.2
, pp. 711-729
-
-
Lemaréchal, C.1
Oustry, F.2
Sagastizábal, C.3
-
19
-
-
0000525522
-
An approach to variable metric bundle methods
-
J. Henry, J.P. Yvon, (eds.), Systems Modeling and Optimization, Springer-Verlag
-
Lemaréchal, C., Sagastizábal, C.: An approach to variable metric bundle methods. In: J. Henry, J.P. Yvon, (eds.), Systems Modeling and Optimization, no. 197 in Lecture Notes in Control and Information Sciences, Springer-Verlag, 1994, pp. 144-162
-
(1994)
Lecture Notes in Control and Information Sciences
, vol.197
, pp. 144-162
-
-
Lemaréchal, C.1
Sagastizábal, C.2
-
20
-
-
21744439259
-
More than first-order developments of convex functions: Primal-dual relations
-
Lemaréchal, C., Sagastizábal, C.: More than first-order developments of convex functions: primal-dual relations. J. Convex Analysis 3 (2), 1-14 (1996)
-
(1996)
J. Convex Analysis
, vol.3
, Issue.2
, pp. 1-14
-
-
Lemaréchal, C.1
Sagastizábal, C.2
-
21
-
-
0040165092
-
Practical aspects of the Moreau-Yosida regularization: Theoretical preliminaries
-
Lemaréchal, C., Sagastizábal, C.: Practical aspects of the Moreau-Yosida regularization: theoretical preliminaries. SIAM J. Optimization 7 (2), 367-385 (1997)
-
(1997)
SIAM J. Optimization
, vol.7
, Issue.2
, pp. 367-385
-
-
Lemaréchal, C.1
Sagastizábal, C.2
-
22
-
-
0000275440
-
Variable metric bundle methods: From conceptual to implementable forms
-
Lemaréchal, C., Sagastizábal, C.: Variable metric bundle methods: from conceptual to implementable forms. Math. Program., Ser. A 76, 393-410 (1997)
-
(1997)
Math. Program., Ser. A
, vol.76
, pp. 393-410
-
-
Lemaréchal, C.1
Sagastizábal, C.2
-
23
-
-
33646887390
-
On the limited memory BFGS method for large scale optimization
-
Liu, D., Nocedal, J.: On the limited memory BFGS method for large scale optimization. Math. Program. 45, 503-520 (1989)
-
(1989)
Math. Program.
, vol.45
, pp. 503-520
-
-
Liu, D.1
Nocedal, J.2
-
24
-
-
0041940559
-
Applications of second-order cone programming
-
Lobo, M., Vandenberghe, L., Boyd, S., Lebret, H.: Applications of second-order cone programming. Linear Algebra and its Applications 284, 193-228 (1998)
-
(1998)
Linear Algebra and Its Applications
, vol.284
, pp. 193-228
-
-
Lobo, M.1
Vandenberghe, L.2
Boyd, S.3
Lebret, H.4
-
25
-
-
17044426318
-
On superlinear convergence in univariate nonsmooth minimization
-
Mifflin, R.: On superlinear convergence in univariate nonsmooth minimization. Math. Program. 49, 273-279 (1991)
-
(1991)
Math. Program.
, vol.49
, pp. 273-279
-
-
Mifflin, R.1
-
26
-
-
0001844687
-
A quasi-second-order proximal bundle algorithm
-
Mifflin, R.: A quasi-second-order proximal bundle algorithm. Math. Program. 73 (1), 51-72 (1996)
-
(1996)
Math. Program.
, vol.73
, Issue.1
, pp. 51-72
-
-
Mifflin, R.1
-
27
-
-
0001487375
-
VΜ-decomposition derivatives for convex max-functions
-
R. Tichatschke, M. Théra (eds.), Ill-posed Variational Problems and Regularization Techniques, Springer-Verlag Berlin Heidelberg
-
Mifflin, R., Sagastizábal, C.: vΜ-decomposition derivatives for convex max-functions. In: R. Tichatschke, M. Théra (eds.), Ill-posed Variational Problems and Regularization Techniques, no. 477 in Lecture Notes in Economics and Mathematical Systems, Springer-Verlag Berlin Heidelberg, 1999, pp. 167-186
-
(1999)
Lecture Notes in Economics and Mathematical Systems
, vol.477
, pp. 167-186
-
-
Mifflin, R.1
Sagastizábal, C.2
-
28
-
-
0002963707
-
Functions with primal-dual gradient structure and Μ-Hessians
-
G.D. Pillo, F. Giannessi, (eds.), Nonlinear Optimization and Related Topics, Kluwer Academic Publishers B.V.
-
Mifflin, R., Sagastizábal, C.: Functions with primal-dual gradient structure and Μ-Hessians. In: G.D. Pillo, F. Giannessi, (eds.), Nonlinear Optimization and Related Topics, no. 36 in Applied Optimization, Kluwer Academic Publishers B.V. 2000, pp. 219-233
-
(2000)
Applied Optimization
, vol.36
, pp. 219-233
-
-
Mifflin, R.1
Sagastizábal, C.2
-
29
-
-
0034353743
-
On vΜ-theory for functions with primal-dual gradient structure
-
Mifflin, R., Sagastizábal, C.: On vΜ-theory for functions with primal-dual gradient structure. SIAM J. Optimization 11 (2), 547-571 (2000)
-
(2000)
SIAM J. Optimization
, vol.11
, Issue.2
, pp. 547-571
-
-
Mifflin, R.1
Sagastizábal, C.2
-
31
-
-
0242679716
-
Primal-dual Gradient Structured Functions: Second-order results; links to epi-derivatives and partly smooth functions
-
Mifflin, R., Sagastizábal, C.: Primal-Dual Gradient Structured Functions: second-order results; links to epi-derivatives and partly smooth functions. SIAM Journal on Optimization 13 (4), 1174-1194 (2003)
-
(2003)
SIAM Journal on Optimization
, vol.13
, Issue.4
, pp. 1174-1194
-
-
Mifflin, R.1
Sagastizábal, C.2
-
32
-
-
6344221585
-
VΜ-smoothness and proximal point results for some nonconvex functions
-
Mifflin, R., Sagastizábal, C.: vΜ-Smoothness and Proximal Point Results for Some Nonconvex Functions. Optimization Methods and Software 19 (5), 463-478 (2004)
-
(2004)
Optimization Methods and Software
, vol.19
, Issue.5
, pp. 463-478
-
-
Mifflin, R.1
Sagastizábal, C.2
-
33
-
-
17044404648
-
Relating Μ-Lagrangians to second order epiderivatives and proximal tracks
-
Mifflin, R., Sagastizábal, C.: Relating Μ-Lagrangians to Second Order Epiderivatives and Proximal Tracks. Journal of Convex Analysis 12 (1), 81-93 (2005). Http://www.heldermann.de/JCA/JCA12/jca12.htm
-
(2005)
Journal of Convex Analysis
, vol.12
, Issue.1
, pp. 81-93
-
-
Mifflin, R.1
Sagastizábal, C.2
-
34
-
-
0032222087
-
Quasi-Newton bundle-type methods for nondifferentiable convex optimization
-
Mifflin, R., Sun, D., Qi, L.: Quasi-Newton bundle-type methods for nondifferentiable convex optimization. SIAM Journal on Optimization 8 (2), 583-603 (1998)
-
(1998)
SIAM Journal on Optimization
, vol.8
, Issue.2
, pp. 583-603
-
-
Mifflin, R.1
Sun, D.2
Qi, L.3
-
35
-
-
27244458561
-
Connections among Μ-Lagrangian, Riemannian Newton, and SQP methods
-
INRIA
-
Miller, S.A., Malick, J.: Connections among Μ-Lagrangian, Riemannian Newton, and SQP Methods. Rapport de Recherche 5185, INRIA (2004)
-
(2004)
Rapport de Recherche
, vol.5185
-
-
Miller, S.A.1
Malick, J.2
-
37
-
-
0002928322
-
A second-order bundle method to minimize the maximum eigenvalue function
-
Ser. A
-
Oustry, F.: A second-order bundle method to minimize the maximum eigenvalue function. Math. Program. 89 (1, Ser. A), 1-33 (2000)
-
(2000)
Math. Program.
, vol.89
, Issue.1
, pp. 1-33
-
-
Oustry, F.1
-
38
-
-
0001517804
-
A preconditioning proximal Newton method for nondifferentiable convex optimization
-
Ser. B
-
Qi, L., Chen, X.: A preconditioning proximal Newton method for nondifferentiable convex optimization. Math. Program. 76 (3, Ser. B), 411-429 (1997)
-
(1997)
Math. Program.
, vol.76
, Issue.3
, pp. 411-429
-
-
Qi, L.1
Chen, X.2
-
39
-
-
0034348369
-
Globally convergent BFGS method for nonsmooth convex optimization
-
Rauf, A., Fukushima, M.: Globally convergent BFGS method for nonsmooth convex optimization. J. Optim. Theory Appl. 104 (3), 539-558 (2000)
-
(2000)
J. Optim. Theory Appl.
, vol.104
, Issue.3
, pp. 539-558
-
-
Rauf, A.1
Fukushima, M.2
-
40
-
-
0016985417
-
Monotone operators and the proximal point algorithm
-
Rockafellar, R.: Monotone operators and the proximal point algorithm. SIAM Journal on Control and Optimization 14, 877-898 (1976)
-
(1976)
SIAM Journal on Control and Optimization
, vol.14
, pp. 877-898
-
-
Rockafellar, R.1
|