-
1
-
-
34249065184
-
Convergence of mesh adaptive direct search to second-order stationary points
-
ABRAMSON, M. A. & AUDET, C. (2006) Convergence of mesh adaptive direct search to second-order stationary points. SIAM J. Optim., 17, 606-619.
-
(2006)
SIAM J. Optim.
, vol.17
, pp. 606-619
-
-
Abramson, M.A.1
Audet, C.2
-
2
-
-
33646735420
-
Convergence results for pattern search algorithms are tight
-
AUDET, C. (2003) Convergence results for pattern search algorithms are tight. Optim. Eng., 5, 101-122.
-
(2003)
Optim. Eng.
, vol.5
, pp. 101-122
-
-
Audet, C.1
-
3
-
-
33750265086
-
Mesh adaptive direct search algorithms for constrained optimization
-
AUDET, C. & DENNIS JR, J. E. (2006) Mesh adaptive direct search algorithms for constrained optimization. SIAM J. Optim., 17, 188-217.
-
(2006)
SIAM J. Optim.
, vol.17
, pp. 188-217
-
-
Audet, C.1
Dennis Jr., J.E.2
-
4
-
-
70450201564
-
Generalized set search methods for piecewise smooth problems
-
BOGANI, C., GASPARO, M. G. & PAPINI, A. (2009) Generalized set search methods for piecewise smooth problems. SIAM J. Optim., 20, 321-335.
-
(2009)
SIAM J. Optim.
, vol.20
, pp. 321-335
-
-
Bogani, C.1
Gasparo, M.G.2
Papini, A.3
-
5
-
-
23844446458
-
A robust gradient sampling algorithm for nonsmooth, nonconvex optimization
-
BURKE, J. V., LEWIS, A. S. & OVERTON, M. L. (2005) A robust gradient sampling algorithm for nonsmooth, nonconvex optimization. SIAM J. Optim., 15, 751-779.
-
(2005)
SIAM J. Optim.
, vol.15
, pp. 751-779
-
-
Burke, J.V.1
Lewis, A.S.2
Overton, M.L.3
-
6
-
-
79251493375
-
On the complexity of steepest descent, Newton's and regularized Newton's methods for nonconvex unconstrained optimization
-
CARTIS, C., GOULD, N. I. M. & TOINT, PH. L. (2010) On the complexity of steepest descent, Newton's and regularized Newton's methods for nonconvex unconstrained optimization. SIAM J. Optim., 20, 2833-2852.
-
(2010)
SIAM J. Optim.
, vol.20
, pp. 2833-2852
-
-
Cartis, C.1
Gould, N.I.M.2
Toint, P.H.L.3
-
7
-
-
84856057771
-
On the evaluation complexity of composite function minimization with applications to nonconvex nonlinear programming
-
CARTIS, C., GOULD, N. I. M. & TOINT, PH. L. (2011) On the evaluation complexity of composite function minimization with applications to nonconvex nonlinear programming. SIAM J. Optim., 21, 1721-1739.
-
(2011)
SIAM J. Optim.
, vol.21
, pp. 1721-1739
-
-
Cartis, C.1
Gould, N.I.M.2
Toint, P.H.L.3
-
8
-
-
84861621132
-
On the oracle complexity of first-order and derivative-free algorithms for smooth nonconvex minimization
-
CARTIS, C., GOULD, N. I. M. & TOINT, PH. L. (2012) On the oracle complexity of first-order and derivative-free algorithms for smooth nonconvex minimization. SIAM J. Optim., 22, 66-86.
-
(2012)
SIAM J. Optim.
, vol.22
, pp. 66-86
-
-
Cartis, C.1
Gould, N.I.M.2
Toint, P.H.L.3
-
9
-
-
81255179401
-
Adaptive cubic overestimation methods for unconstrained optimization. Part II: Worst-case function-and derivative-evaluation complexity
-
CARTIS, C., GOULD, N. I. M. & TOINT, PH. L. (2011) Adaptive cubic overestimation methods for unconstrained optimization. Part II: worst-case function-and derivative-evaluation complexity. Math. Program., 130, 295-319.
-
(2011)
Math. Program.
, vol.130
, pp. 295-319
-
-
Cartis, C.1
Gould, N.I.M.2
Toint, P.H.L.3
-
10
-
-
0030104686
-
A class of smoothing functions for nonlinear and mixed complementarity problems
-
CHEN, C. & MANGASARIAN, O. L. (1996) A class of smoothing functions for nonlinear and mixed complementarity problems. Comput. Optim. Appl., 5, 97-138.
-
(1996)
Comput. Optim. Appl.
, vol.5
, pp. 97-138
-
-
Chen, C.1
Mangasarian, O.L.2
-
11
-
-
78149291090
-
Smoothing nonlinear conjugate gradient method for image restoration using nonsmooth nonconvex minimization
-
CHEN, X. & ZHOU, W. (2010) Smoothing nonlinear conjugate gradient method for image restoration using nonsmooth nonconvex minimization. SIAM J. Imaging Sci., 3, 765-790.
-
(2010)
SIAM J. Imaging Sci.
, vol.3
, pp. 765-790
-
-
Chen, X.1
Zhou, W.2
-
12
-
-
0003859933
-
-
New York: John Wiley & Sons (reprinted by SIAM, Philadelphia)
-
CLARKE, F. H. (1990) Optimization and Nonsmooth Analysis. New York: John Wiley & Sons (reprinted by SIAM, Philadelphia).
-
(1990)
Optimization and Nonsmooth Analysis
-
-
Clarke, F.H.1
-
14
-
-
77954761405
-
Incorporating minimum Frobenius norm models in direct search
-
CUSTÓDIO, A. L., ROCHA, H. & VICENTE, L. N. (2010) Incorporating minimum Frobenius norm models in direct search. Comput. Optim. Appl., 46, 265-278.
-
(2010)
Comput. Optim. Appl.
, vol.46
, pp. 265-278
-
-
Custódio, A.L.1
Rocha, H.2
Vicente, L.N.3
-
15
-
-
28244496090
-
Benchmarking optimization software with performance profiles
-
DOLAN, E. D. & MORÉ, J. J. (2002) Benchmarking optimization software with performance profiles. Math. Program., 91, 201-213.
-
(2002)
Math. Program.
, vol.91
, pp. 201-213
-
-
Dolan, E.D.1
Moré, J.J.2
-
16
-
-
33747180773
-
Optimality measures for performance profiles
-
DOLAN, E. D., MORÉ, J. J. & MUNSON, T. S. (2006) Optimality measures for performance profiles. SIAM J. Optim., 16, 891-909.
-
(2006)
SIAM J. Optim.
, vol.16
, pp. 891-909
-
-
Dolan, E.D.1
Moré, J.J.2
Munson, T.S.3
-
17
-
-
0004695418
-
The minimization of semicontinuous functions: Mol-lifier subgradients
-
ERMOLIEV, Y. M., NORKIN, V. I. & WETS, R. J.-B. (1995) The minimization of semicontinuous functions: mol-lifier subgradients. SIAM J. Control Optim., 32, 149-167.
-
(1995)
SIAM J. Control Optim.
, vol.32
, pp. 149-167
-
-
Ermoliev, Y.M.1
Norkin, V.I.2
Wets, R.J.-B.3
-
19
-
-
2442598318
-
CUTEr (and SifDec), a constrained and unconstrained testing environment, revisited
-
GOULD, N. I. M., ORBAN, D. & TOINT, PH. L. (2003) CUTEr (and SifDec), a constrained and unconstrained testing environment, revisited. ACM. Trans. Math. Software., 29, 373-394.
-
(2003)
ACM Trans. Math. Software.
, vol.29
, pp. 373-394
-
-
Gould, N.I.M.1
Orban, D.2
Toint, P.H.L.3
-
20
-
-
55849087653
-
A recursive trust-region method in infinity norm for bound-constrained nonlinear optimization
-
GRATTON, S., MOUFFE, M., TOINT, PH. L. & WEBER-MENDONCA, M. (2008a) A recursive trust-region method in infinity norm for bound-constrained nonlinear optimization. IMA J. Numer. Anal., 28, 827-861.
-
(2008)
IMA J. Numer. Anal.
, vol.28
, pp. 827-861
-
-
Gratton, S.1
Mouffe, M.2
Toint, P.H.L.3
Weber-Mendonca, M.4
-
21
-
-
61349175317
-
Recursive trust-region methods for multiscale nonlinear optimization
-
GRATTON, S., SARTENAER, A. & TOINT, PH. L. (2008b) Recursive trust-region methods for multiscale nonlinear optimization. SIAM J. Optim., 19, 414-444.
-
(2008)
SIAM J. Optim.
, vol.19
, pp. 414-444
-
-
Gratton, S.1
Sartenaer, A.2
Toint, P.H.L.3
-
22
-
-
34250281638
-
On a method for the minimization of almost-differentiable functions
-
GUPAL, A. M. (1977) On a method for the minimization of almost-differentiable functions. Cybernet. Syst. Anal., 13, 115-117.
-
(1977)
Cybernet. Syst. Anal.
, vol.13
, pp. 115-117
-
-
Gupal, A.M.1
-
23
-
-
34250425586
-
Method of averaging operators in iteration algorithms for stochastic optimization
-
KATKOVNIK, V. Y. (1972) Method of averaging operators in iteration algorithms for stochastic optimization. Cybernet. Systems Anal., 4, 670-679.
-
(1972)
Cybernet. Systems Anal.
, vol.4
, pp. 670-679
-
-
Katkovnik, V.Y.1
-
24
-
-
77951279520
-
A nonderivative version of the gradient sampling algorithm for nonsmooth nonconvex optimization
-
KIWIEL, K. C. (2010) A nonderivative version of the gradient sampling algorithm for nonsmooth nonconvex optimization. SIAM J. Optim., 20, 1983-1994.
-
(2010)
SIAM J. Optim.
, vol.20
, pp. 1983-1994
-
-
Kiwiel, K.C.1
-
25
-
-
0242667172
-
Optimization by direct search: New perspectives on some classical and modern methods
-
KOLDA, T. G., LEWIS, R. M. & TORCZON, V. (2003) Optimization by direct search: new perspectives on some classical and modern methods. SIAM Rev., 45, 385-482.
-
(2003)
SIAM Rev.
, vol.45
, pp. 385-482
-
-
Kolda, T.G.1
Lewis, R.M.2
Torczon, V.3
-
26
-
-
21144460519
-
Nondifferentiable optimization via smooth approximation: General analytical approach
-
KREIMER, J. & RUBINSTEIN, R. Y. (1992) Nondifferentiable optimization via smooth approximation: general analytical approach. Ann. Oper. Res., 39, 97-119.
-
(1992)
Ann. Oper. Res.
, vol.39
, pp. 97-119
-
-
Kreimer, J.1
Rubinstein, R.Y.2
-
27
-
-
70450210967
-
A derivative-free algorithm for inequality constrained nonlinear programming via smoothing of an IQQ penalty function
-
LIUZZI, G. & LUCIDI, S. (2009) A derivative-free algorithm for inequality constrained nonlinear programming via smoothing of an IQQ penalty function. SIAM J. Optim., 20, 1-29.
-
(2009)
SIAM J. Optim.
, vol.20
, pp. 1-29
-
-
Liuzzi, G.1
Lucidi, S.2
-
28
-
-
68949099095
-
Benchmarking derivative-free optimization algorithms
-
MORÉ, J. J. & WILD, S. M. (2009) Benchmarking derivative-free optimization algorithms. SIAM J. Optim., 20, 172-191.
-
(2009)
SIAM J. Optim.
, vol.20
, pp. 172-191
-
-
Moré, J.J.1
Wild, S.M.2
-
31
-
-
33646730150
-
Cubic regularization of Newton's method and its global performance
-
NESTEROV, Y. & POLYAK, B. T. (2006) Cubic regularization of Newton's method and its global performance. Math. Program., 108, 177-205.
-
(2006)
Math. Program.
, vol.108
, pp. 177-205
-
-
Nesterov, Y.1
Polyak, B.T.2
-
34
-
-
84892870882
-
-
Technical Report 10-17. Department of Mathematics, University of Coimbra, Portugal
-
VICENTE, L. N. (2010) Worst case complexity of direct search. Technical Report 10-17. Department of Mathematics, University of Coimbra, Portugal.
-
(2010)
Worst Case Complexity of Direct Search
-
-
Vicente, L.N.1
-
35
-
-
84862270114
-
Analysis of direct searches for discontinuous functions
-
VICENTE, L. N. & CUSTÓDIO, A. L. (2012) Analysis of direct searches for discontinuous functions. Math. Program., 133, 299-325.
-
(2012)
Math. Program.
, vol.133
, pp. 299-325
-
-
Vicente, L.N.1
Custódio, A.L.2
-
36
-
-
70450260767
-
Smoothing projected gradient method and its application to stochastic linear complementarity problems
-
ZHANG, C. & CHEN, X. (2009) Smoothing projected gradient method and its application to stochastic linear complementarity problems. SIAM J. Optim., 20, 627-649.
-
(2009)
SIAM J. Optim.
, vol.20
, pp. 627-649
-
-
Zhang, C.1
Chen, X.2
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