-
1
-
-
33750265086
-
Mesh adaptive direct search algorithms for constrained optimization
-
Audet C, Dennis JE Jr (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, J.E.2
-
2
-
-
43949152558
-
A trust region algorithm for nonsmooth optimization
-
Bannert T (1994) A trust region algorithm for nonsmooth optimization. Math Program 67:247–264
-
(1994)
Math Program
, vol.67
, pp. 247-264
-
-
Bannert, T.1
-
4
-
-
84880062235
-
Inexact restoration method for derivative-free optimization with smooth constraints
-
Bueno LF, Friedlander A, Martínez JM, Sobral FNC (2013) Inexact restoration method for derivative-free optimization with smooth constraints. SIAM J Optim 23:1189–1213
-
(2013)
SIAM J Optim
, vol.23
, pp. 1189-1213
-
-
Bueno, L.F.1
Friedlander, A.2
Martínez, J.M.3
Sobral, F.N.C.4
-
5
-
-
81255179401
-
Adaptive cubic regularisation methods for unconstrained optimization. Part II: worst-case function—and derivative—evaluation complexity
-
Cartis C, Gould NIM, Toint PhL (2011a) Adaptive cubic regularisation 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.L.3
-
6
-
-
84856057771
-
On the evaluation complexity of composite function minimization with applications to nonconvex nonlinear programming
-
Cartis C, Gould NIM, Toint PhL (2011b) 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.L.3
-
7
-
-
84861621132
-
On the oracle complexity of first-order and derivative-free algorithms for smooth nonconvex minimization
-
Cartis C, Gould NIM, Toint PhL (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.L.3
-
8
-
-
84886236255
-
On the evaluation complexity of cubic regularization methods for potentially rank-deficient nonlinear least-squares problems and its relevance to constrained nonlinear optimization
-
Cartis C, Gould NIM, Toint PhL (2013) On the evaluation complexity of cubic regularization methods for potentially rank-deficient nonlinear least-squares problems and its relevance to constrained nonlinear optimization. SIAM J Optim 23:1553–1574
-
(2013)
SIAM J Optim
, vol.23
, pp. 1553-1574
-
-
Cartis, C.1
Gould, N.I.M.2
Toint, P.L.3
-
9
-
-
84897112534
-
On the complexity of finding first-order critical points in constrained nonlinear optimization
-
Cartis C, Gould NIM, Toint PhL (2014) On the complexity of finding first-order critical points in constrained nonlinear optimization. Math Program 144:93–106
-
(2014)
Math Program
, vol.144
, pp. 93-106
-
-
Cartis, C.1
Gould, N.I.M.2
Toint, P.L.3
-
10
-
-
84942156915
-
-
Introduction to derivative-free optimization. SIAM, Philadelphia
-
Conn AR, Scheinberg K, Vicente LN (2009a) Introduction to derivative-free optimization. SIAM, Philadelphia
-
(2009)
Vicente LN
-
-
Conn, A.R.1
Scheinberg, K.2
-
11
-
-
70450200040
-
Global convergence of general derivative-free trust-region algorithms to first and second order critical points
-
Conn AR, Scheinberg K, Vicente LN (2009b) Global convergence of general derivative-free trust-region algorithms to first and second order critical points. SIAM J Optim 20:387–415
-
(2009)
SIAM J Optim
, vol.20
, pp. 387-415
-
-
Conn, A.R.1
Scheinberg, K.2
Vicente, L.N.3
-
12
-
-
84880051566
-
Global convergence of trust-region algorithms for convex constrained minimization without derivatives
-
Conejo PD, Karas EW, Pedroso LG, Ribeiro AA, Sachine M (2013) Global convergence of trust-region algorithms for convex constrained minimization without derivatives. Appl Math Comput 20:324–330
-
(2013)
Appl Math Comput
, vol.20
, pp. 324-330
-
-
Conejo, P.D.1
Karas, E.W.2
Pedroso, L.G.3
Ribeiro, A.A.4
Sachine, M.5
-
13
-
-
84975841504
-
A trust-region derivative-free algorithm for constrained optimization. Technical Report. Department of Mathematics
-
Conejo PD, Karas EW, Pedroso LG (2014) A trust-region derivative-free algorithm for constrained optimization. Technical Report. Department of Mathematics, Federal University of Paraná
-
(2014)
Federal University of Paraná
-
-
Conejo, P.D.1
Karas, E.W.2
Pedroso, L.G.3
-
14
-
-
0000143851
-
A smooth method for the finite minimax problem
-
Di Pillo G, Grippo L, Lucidi S (1993) A smooth method for the finite minimax problem. Math Program 60:187–214
-
(1993)
Math Program
, vol.60
, pp. 187-214
-
-
Di Pillo, G.1
Grippo, L.2
Lucidi, S.3
-
15
-
-
79953678396
-
Derivative-free methods for nonlinear programming with general lower-level constraints
-
Diniz-Ehrhardt MA, Martínez JM, Pedroso LG (2011) Derivative-free methods for nonlinear programming with general lower-level constraints. Comput Appl Math 30:19–52
-
(2011)
Comput Appl Math
, vol.30
, pp. 19-52
-
-
Diniz-Ehrhardt, M.A.1
Martínez, J.M.2
Pedroso, L.G.3
-
16
-
-
0001963239
-
A model algorithm for composite nondifferentiable optimization problems
-
Fletcher R (1982a) A model algorithm for composite nondifferentiable optimization problems. Math Program 17:67–76
-
(1982)
Math Program
, vol.17
, pp. 67-76
-
-
Fletcher, R.1
-
17
-
-
0040133819
-
Second order correction for nondifferentiable optimization
-
Watson GA, (ed), Springer, Berlin
-
Fletcher R (1982b) Second order correction for nondifferentiable optimization. In: Watson GA (ed) Numerical analysis. Springer, Berlin, pp 85–114
-
(1982)
Numerical analysis
, pp. 85-114
-
-
Fletcher, R.1
-
18
-
-
84880321255
-
Smoothing and worst-case complexity for direct-search methods in nonsmooth optimization
-
Garmanjani R, Vicente LN (2013) Smoothing and worst-case complexity for direct-search methods in nonsmooth optimization. IMA J Numer Anal 33:1008–1028
-
(2013)
IMA J Numer Anal
, vol.33
, pp. 1008-1028
-
-
Garmanjani, R.1
Vicente, L.N.2
-
19
-
-
84937967811
-
On the convergence and worst-case complexity of trust-region and regularization methods for unconstrained optimization
-
Grapiglia GN, Yuan J, Yuan Y (2014) On the convergence and worst-case complexity of trust-region and regularization methods for unconstrained optimization. Math Prog. doi:10.1007/s10107-014-0794-9
-
(2014)
Math Prog.
-
-
Grapiglia, G.N.1
Yuan, J.2
Yuan, Y.3
-
20
-
-
84968466715
-
A quasi-Newton method with no derivatives
-
Greenstadt J (1972) A quasi-Newton method with no derivatives. Math Comput 26:145–166
-
(1972)
Math Comput
, vol.26
, pp. 145-166
-
-
Greenstadt, J.1
-
21
-
-
84938447945
-
Direct search solution of numerical and statistical problems
-
Hooke R, Jeeves TA (1961) Direct search solution of numerical and statistical problems. J Assoc Comput Mach 8:212–229
-
(1961)
J Assoc Comput Mach
, vol.8
, pp. 212-229
-
-
Hooke, R.1
Jeeves, T.A.2
-
22
-
-
0001547779
-
The cutting plane method for solving convex programs
-
Kelly JE (1960) The cutting plane method for solving convex programs. J SIAM 8:703–712
-
(1960)
J SIAM
, vol.8
, pp. 703-712
-
-
Kelly, J.E.1
-
23
-
-
79952528772
-
Algorithm 909: NOMAD: Nonlinear optimization with the MADS algorithm
-
Le Digabel S (2011) Algorithm 909: NOMAD: Nonlinear optimization with the MADS algorithm. ACM Trans Math Softw 37:41:1–44:15
-
(2011)
ACM Trans Math Softw 37
, vol.1-44
, Issue.15
, pp. 41
-
-
Le Digabel, S.1
-
24
-
-
0001796318
-
Bundle methods in nonsmooth optimization
-
Lemaréchal C, Mifflin R, (eds), Pergamon, Oxford
-
Lemaréchal C (1978) Bundle methods in nonsmooth optimization. In: Lemaréchal C, Mifflin R (eds) Nonsmooth optimization. Pergamon, Oxford, pp 79–102
-
(1978)
Nonsmooth optimization
, pp. 79-102
-
-
Lemaréchal, C.1
-
25
-
-
84975803400
-
Test problems for nonsmooth unconstrained and linearly constrained optimization. Technical Report 198
-
Luksǎn L, Vlček J (2000) Test problems for nonsmooth unconstrained and linearly constrained optimization. Technical Report 198, Academy of Sciences of the Czech Republic
-
(2000)
Academy of Sciences of the Czech Republic
-
-
Luksǎn, L.1
Vlček, J.2
-
26
-
-
0016647171
-
Minimax solution of non-linear equations without calculating derivatives
-
Madsen K (1975) Minimax solution of non-linear equations without calculating derivatives. Math Program Study 3:110–126
-
(1975)
Math Program Study
, vol.3
, pp. 110-126
-
-
Madsen, K.1
-
27
-
-
84879692890
-
Derivative-free constrained optimization in thin domains
-
Martínez JM, Sobral FNC (2013) Derivative-free constrained optimization in thin domains. J Glob Optim 56:1217–1232
-
(2013)
J Glob Optim
, vol.56
, pp. 1217-1232
-
-
Martínez, J.M.1
Sobral, F.N.C.2
-
28
-
-
0016538991
-
A superlinearly convergent algorithm for minimization without evaluating derivatives
-
Mifflin R (1975) A superlinearly convergent algorithm for minimization without evaluating derivatives. Math Program 9:100–117
-
(1975)
Math Program
, vol.9
, pp. 100-117
-
-
Mifflin, R.1
-
29
-
-
68949099095
-
Benchmarking derivative-free optimization algorithms
-
Moré JJ, Wild SM (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
-
30
-
-
0000238336
-
A simplex method for function minimization
-
Nelder JA, Mead R (1965) A simplex method for function minimization. Comput J 7:308–313
-
(1965)
Comput J
, vol.7
, pp. 308-313
-
-
Nelder, J.A.1
Mead, R.2
-
31
-
-
84860610528
-
Random gradient-free minimization of convex functions. Technical Report 2011/1
-
Nesterov Y (2011) Random gradient-free minimization of convex functions. Technical Report 2011/1, CORE
-
(2011)
CORE
-
-
Nesterov, Y.1
-
32
-
-
5644246442
-
General algorithm for discrete nonlinear approximation calculations
-
Chui CK, Schumaker LL, Ward LD, (eds), Academic Press, New York
-
Powell MJD (1983) General algorithm for discrete nonlinear approximation calculations. In: Chui CK, Schumaker LL, Ward LD (eds) Approximation theory IV. Academic Press, New York, pp 187–218
-
(1983)
Approximation theory IV
, pp. 187-218
-
-
Powell, M.J.D.1
-
33
-
-
0021482384
-
On the global convergence of trust region algorithms for unconstrained minimization
-
Powell MJD (1984) On the global convergence of trust region algorithms for unconstrained minimization. Math Program 29:297–303
-
(1984)
Math Program
, vol.29
, pp. 297-303
-
-
Powell, M.J.D.1
-
34
-
-
33846538819
-
The NEWUOA software for unconstrained optimization without derivatives
-
Pillo G, Roma M, (eds), Springer, New York
-
Powell MJD (2006) The NEWUOA software for unconstrained optimization without derivatives. In: Di Pillo G, Roma M (eds) Large nonlinear optimization. Springer, New York, pp 255–297
-
(2006)
Large nonlinear optimization
, pp. 255-297
-
-
Powell, M.J.D.1
-
35
-
-
0028480086
-
A trust region algorithm for minimization of locally Lipschitzian functions
-
Qi L, Sun J (1994) A trust region algorithm for minimization of locally Lipschitzian functions. Math Program 66:25–43
-
(1994)
Math Program
, vol.66
, pp. 25-43
-
-
Qi, L.1
Sun, J.2
-
36
-
-
79251516126
-
Self-correcting geometry in model-based algorithms for derivative-free unconstrained optimization
-
Scheinberg K, Toint PhL (2010) Self-correcting geometry in model-based algorithms for derivative-free unconstrained optimization. SIAM J Optim 20:3512–3532
-
(2010)
SIAM J Optim
, vol.20
, pp. 3512-3532
-
-
Scheinberg, K.1
Toint, P.L.2
-
37
-
-
0003326338
-
Subgradient methods: a survey of the Soviet research
-
Lemaréchal C, Mifflin R, (eds), Pergamon, Oxford
-
Shor NZ (1978) Subgradient methods: a survey of the Soviet research. In: Lemaréchal C, Mifflin R (eds) Nonsmooth optimization. Pergamon, Oxford
-
(1978)
Nonsmooth optimization
-
-
Shor, N.Z.1
-
38
-
-
0002912764
-
A modification of Davidon’s minimization method to accept difference approximations of derivatives
-
Stewart GW (1967) A modification of Davidon’s minimization method to accept difference approximations of derivatives. J Assoc Comput Mach 14:72–83
-
(1967)
J Assoc Comput Mach
, vol.14
, pp. 72-83
-
-
Stewart, G.W.1
-
40
-
-
0001406729
-
Function minimization by interpolation in a data table
-
Winfield D (1973) Function minimization by interpolation in a data table. J Inst Math Appl 12:339–347
-
(1973)
J Inst Math Appl
, vol.12
, pp. 339-347
-
-
Winfield, D.1
-
41
-
-
0022010767
-
Conditions for convergence of trust region algorithms for nonsmooth optimization
-
Yuan Y (1985a) Conditions for convergence of trust region algorithms for nonsmooth optimization. Math Program 31:220–228
-
(1985)
Math Program
, vol.31
, pp. 220-228
-
-
Yuan, Y.1
-
42
-
-
0022028162
-
On the superlinear convergence of a trust region algorithm for nonsmooth optimization
-
Yuan Y (1985b) On the superlinear convergence of a trust region algorithm for nonsmooth optimization. Math Program 31:269–285
-
(1985)
Math Program
, vol.31
, pp. 269-285
-
-
Yuan, Y.1
|