-
1
-
-
84966275544
-
Minimization of functions having Lipschitz continuous first partial derivatives
-
L. Armijo Minimization of functions having Lipschitz continuous first partial derivatives Pacific J. Math. 16 1966 1 3
-
(1966)
Pacific J. Math.
, vol.16
, pp. 1-3
-
-
Armijo, L.1
-
2
-
-
0242609488
-
Lattice approximations to the minima of functions of several variables
-
G. Berman Lattice approximations to the minima of functions of several variables J. Assoc. Comput. Mach. 16 1969 286 294
-
(1969)
J. Assoc. Comput. Mach.
, vol.16
, pp. 286-294
-
-
Berman, G.1
-
3
-
-
0002525028
-
Evolutionary operation: a method for increasing industrial productivity
-
G.E.P. Box Evolutionary operation: a method for increasing industrial productivity Appl. Statist. 6 1957 81 101
-
(1957)
Appl. Statist.
, vol.6
, pp. 81-101
-
-
Box, G.E.P.1
-
4
-
-
0002363078
-
On the experimental attainment of optimum conditions
-
G.E.P. Box K.B. Wilson On the experimental attainment of optimum conditions J. Roy. Statist. Soc. Ser. B XIII 1951 1 45
-
(1951)
J. Roy. Statist. Soc. Ser. B
, vol.XIII
, pp. 1-45
-
-
Box, G.E.P.1
Wilson, K.B.2
-
5
-
-
0002693749
-
A comparison of several current optimization methods, and the use of transformations in constrained problems
-
M.J. Box A comparison of several current optimization methods, and the use of transformations in constrained problems Comput. J. 9 1966 67 77
-
(1966)
Comput. J.
, vol.9
, pp. 67-77
-
-
Box, M.J.1
-
6
-
-
85119551788
-
-
M.J. Box D. Davies W.H. Swann Non-Linear Optimization Techniques, ICI Monograph, No. 5 1969 Oliver & Boyd Edinburgh
-
(1969)
-
-
Box, M.J.1
Davies, D.2
Swann, W.H.3
-
7
-
-
85119549368
-
-
J. Céa Optimisation: Théorie et Algorithmes 1971 Dunod Paris
-
(1971)
-
-
Céa, J.1
-
8
-
-
85119558020
-
-
W.C. Davidon, Variable metric method for minimization, SIAM J. Optim. 1 (1991) 1–17 (the article was originally published as Argonne National Laboratory Research and Development Report 5990, May 1959 (revised November 1959)).
-
-
-
-
9
-
-
0001838788
-
Function minimization without evaluating derivatives — a review
-
R. Fletcher Function minimization without evaluating derivatives — a review Comput. J. 8 1965 33 41
-
(1965)
Comput. J.
, vol.8
, pp. 33-41
-
-
Fletcher, R.1
-
10
-
-
0000387235
-
A rapidly convergent descent method for minimization
-
R. Fletcher M.J.D. Powell A rapidly convergent descent method for minimization Comput. J. 6 1963 163 168
-
(1963)
Comput. J.
, vol.6
, pp. 163-168
-
-
Fletcher, R.1
Powell, M.J.D.2
-
11
-
-
85119554472
-
-
A.A. Goldstein Constructive Real Analysis 1967 Harper & Row New York
-
(1967)
-
-
Goldstein, A.A.1
-
12
-
-
84938447945
-
Direct search solution of numerical and statistical problems
-
R. Hooke T.A. Jeeves Direct search solution of numerical and statistical problems J. Assoc. Comput. Mach. 8 1961 212 229
-
(1961)
J. Assoc. Comput. Mach.
, vol.8
, pp. 212-229
-
-
Hooke, R.1
Jeeves, T.A.2
-
13
-
-
0032251894
-
Convergence properties of the Nelder–Mead simplex method in low dimensions
-
J.C. Lagarias J.A. Reeds M.H. Wright P.E. Wright Convergence properties of the Nelder–Mead simplex method in low dimensions SIAM J. Optim. 9 1998 112 147
-
(1998)
SIAM J. Optim.
, vol.9
, pp. 112-147
-
-
Lagarias, J.C.1
Reeds, J.A.2
Wright, M.H.3
Wright, P.E.4
-
14
-
-
85119549442
-
-
R.M. Lewis, V. Torczon, M.W. Trosset, Why pattern search works, Optima (1998) 1–7.
-
-
-
-
15
-
-
85119550286
-
-
R.M. Lewis, V.J. Torczon, Rank ordering and positive bases in pattern search algorithms, Technical Report 96-71, Institute for Computer Applications in Science and Engineering, Mail Stop 132C, NASA Langley Research Center, Hampton, VA 23681–2199, 1996.
-
-
-
-
16
-
-
0032252855
-
Convergence of the Nelder–Mead simplex method to a nonstationary point
-
K.I.M. McKinnon Convergence of the Nelder–Mead simplex method to a nonstationary point SIAM J. Optim. 9 1998 148 158
-
(1998)
SIAM J. Optim.
, vol.9
, pp. 148-158
-
-
McKinnon, K.I.M.1
-
17
-
-
0000238336
-
A simplex method for function minimization
-
J.A. Nelder R. Mead A simplex method for function minimization Comput. J. 7 1965 308 313
-
(1965)
Comput. J.
, vol.7
, pp. 308-313
-
-
Nelder, J.A.1
Mead, R.2
-
18
-
-
85119562649
-
-
E. Polak Computational Methods in Optimization: A Unified Approach 1971 Academic Press New York
-
(1971)
-
-
Polak, E.1
-
19
-
-
0001008029
-
An efficient method for finding the minimum of a function of several variables without calculating derivatives
-
M.J.D. Powell An efficient method for finding the minimum of a function of several variables without calculating derivatives Comput. J. 7 1964 155 162
-
(1964)
Comput. J.
, vol.7
, pp. 155-162
-
-
Powell, M.J.D.1
-
20
-
-
0001723141
-
An automatic method for finding the greatest or least value of a function
-
H.H. Rosenbrock An automatic method for finding the greatest or least value of a function Comput. J. 3 1960 175 184
-
(1960)
Comput. J.
, vol.3
, pp. 175-184
-
-
Rosenbrock, H.H.1
-
21
-
-
84946640734
-
Sequential application of simplex designs in optimisation and evolutionary operation
-
W. Spendley G.R. Hext F.R. Himsworth Sequential application of simplex designs in optimisation and evolutionary operation Technometrics 4 1962 441 461
-
(1962)
Technometrics
, vol.4
, pp. 441-461
-
-
Spendley, W.1
Hext, G.R.2
Himsworth, F.R.3
-
22
-
-
85119552531
-
-
W.H. Swann, Report on the development of a new direct search method of optimization, Research Note 64/3, I.C.I. Central Instrument Lab, 1964.
-
-
-
-
23
-
-
0001900208
-
Direct search methods
-
W.H. Swann Direct search methods W. Murray Numerical Methods for Unconstrained Optimization 1972 Academic Press New York 13 28
-
(1972)
, pp. 13-28
-
-
Swann, W.H.1
-
24
-
-
85119559257
-
-
V. Torczon, Multi-directional search: a direct search algorithm for parallel machines, Ph.D. Thesis, Department of Mathematical Sciences, Rice University, Houston, Texas, 1989.
-
-
-
-
25
-
-
84964345631
-
On the convergence of the multidirectional search algorithm
-
V. Torczon On the convergence of the multidirectional search algorithm SIAM J. Optim. 1 1991 123 145
-
(1991)
SIAM J. Optim.
, vol.1
, pp. 123-145
-
-
Torczon, V.1
-
26
-
-
0031540855
-
On the convergence of pattern search algorithms
-
V. Torczon On the convergence of pattern search algorithms SIAM J. Optim. 7 1997 1 25
-
(1997)
SIAM J. Optim.
, vol.7
, pp. 1-25
-
-
Torczon, V.1
-
27
-
-
0013130691
-
I know it when I see it: toward a definition of direct search methods
-
M.W. Trosset I know it when I see it: toward a definition of direct search methods SIAG/OPT Views-and-News 9 1997 7 10
-
(1997)
SIAG/OPT Views-and-News
, vol.9
, pp. 7-10
-
-
Trosset, M.W.1
-
28
-
-
85119556533
-
-
F.H. Walters, L.R. Parker Jr., S.L. Morgan, S.N. Deming, Sequential Simplex Optimization, Chemometrics Series, CRC Press, Boca Raton, FL, 1991.
-
-
-
-
29
-
-
0014492147
-
Convergence conditions for ascent methods
-
P. Wolfe Convergence conditions for ascent methods SIAM Rev. 11 1969 226 235
-
(1969)
SIAM Rev.
, vol.11
, pp. 226-235
-
-
Wolfe, P.1
-
30
-
-
0000419261
-
Direct search methods: once scorned, now respectable
-
M.H. Wright Direct search methods: once scorned, now respectable D.F. Griffiths G.A. Watson Numerical Analysis 1995 1996 Addison-Wesley Longman Reading, MA 191 208
-
(1996)
, pp. 191-208
-
-
Wright, M.H.1
-
31
-
-
0000819739
-
Minimizing a function without calculating derivatives
-
W.I. Zangwill Minimizing a function without calculating derivatives Comput. J. 10 1967 293 296
-
(1967)
Comput. J.
, vol.10
, pp. 293-296
-
-
Zangwill, W.I.1
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