-
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), pp. 1-3.
-
(1966)
Pacific J. Math.
, vol.16
, pp. 1-3
-
-
Armijo, L.1
-
2
-
-
0013501932
-
-
personal communication, École Polytechnique de Montréal and GERAD, Département de Mathématiques et de Génie Industriel, Montreal
-
C. AUDET, A Counter-Example for the Derivative-Free Algorithm of García-Palomares and Rodríguez, personal communication, École Polytechnique de Montréal and GERAD, Département de Mathématiques et de Génie Industriel, Montreal, 2000.
-
(2000)
A Counter-Example for the Derivative-Free Algorithm of García-Palomares and Rodríguez
-
-
Audet, C.1
-
3
-
-
0003512007
-
-
Technical report TR00-07, Department of Computational and Applied Mathematics, Rice University, Houston, TX
-
C. AUDET AND J.E. DENNIS, Analysis of Generalized Pattern Searches, Technical report TR00-07, Department of Computational and Applied Mathematics, Rice University, Houston, TX, 2000.
-
(2000)
Analysis of Generalized Pattern Searches
-
-
Audet, C.1
Dennis, J.E.2
-
5
-
-
0001948242
-
The simplex gradient and noisy optimization problems
-
J.T. Borggaard et al., eds., Birkhaüser Boston, Cambridge, MA
-
D.M. BORTZ AND C.T. KELLEY, The simplex gradient and noisy optimization problems, in Computational Methods in Optimal Design and Control, J.T. Borggaard et al., eds., Birkhaüser Boston, Cambridge, MA, 1998, pp. 77-90.
-
(1998)
Computational Methods in Optimal Design and Control
, pp. 77-90
-
-
Bortz, D.M.1
Kelley, C.T.2
-
6
-
-
0013468071
-
A variable metric algorithm for unconstrained minimization without evaluation of derivatives
-
J. BRAUNINGER, A variable metric algorithm for unconstrained minimization without evaluation of derivatives, Numer. Math., 36 (1981), pp. 359-373.
-
(1981)
Numer. Math.
, vol.36
, pp. 359-373
-
-
Brauninger, J.1
-
7
-
-
0000596189
-
Optimization and nonsmooth analysis
-
SIAM, Philadelphia
-
F.H. CLARKE, Optimization and Nonsmooth Analysis, Classics Appl. Math. 5, SIAM, Philadelphia, 1990.
-
(1990)
Classics Appl. Math.
, vol.5
-
-
Clarke, F.H.1
-
8
-
-
0242609515
-
Recent progress in unconstrained nonlinear optimization without derivatives
-
A.R. CONN, K. SCHEINBERG, AND PH.L. TOINT, Recent progress in unconstrained nonlinear optimization without derivatives, Math. Programming, 79 (1997), pp. 397-414.
-
(1997)
Math. Programming
, vol.79
, pp. 397-414
-
-
Conn, A.R.1
Scheinberg, K.2
Toint, Ph.L.3
-
9
-
-
0001154906
-
Direct search methods on parallel machines
-
J.E. DENNIS, JR., AND V. TORCZON, Direct search methods on parallel machines, SIAM J. Optim., 1 (1991), pp. 448-474.
-
(1991)
SIAM J. Optim.
, vol.1
, pp. 448-474
-
-
Dennis J.E., Jr.1
Torczon, V.2
-
10
-
-
0001150912
-
Optimization on microcomputers: The Nelder-Mead simplex algorithm
-
A. Wouk, ed., SIAM, Philadelphia
-
J.E. DENNIS AND D.J. WOODS, Optimization on microcomputers: The Nelder-Mead simplex algorithm, in New Computing Environments: Microcomputers in Large-Scale Computing, A. Wouk, ed., SIAM, Philadelphia, 1987, pp. 116-122.
-
(1987)
New Computing Environments: Microcomputers in Large-Scale Computing
, pp. 116-122
-
-
Dennis, J.E.1
Woods, D.J.2
-
11
-
-
0003381134
-
Neural networks and unconstrained optimization
-
E. Spedicato, ed., Kluwer Academic Publishers, Norwell, MA
-
L.C.W. DIXON, Neural networks and unconstrained optimization, in Algorithms for Continuous Optimization: The State of the Art, E. Spedicato, ed., Kluwer Academic Publishers, Norwell, MA, 1994, pp. 513-530.
-
(1994)
Algorithms for Continuous Optimization: The State of the Art
, pp. 513-530
-
-
Dixon, L.C.W.1
-
12
-
-
0017048229
-
Análisis y teorema de convergencia de un algoritmo de minimización sin el cálculo de derivadas
-
U.M. GARCÍA-PALOMARES, Análisis y Teorema de Convergencia de un Algoritmo de Minimización sin el Cálculo de Derivadas, Acta Cient. Venezolana, 27 (1976), pp. 187-189.
-
(1976)
Acta Cient. Venezolana
, vol.27
, pp. 187-189
-
-
García-Palomares, U.M.1
-
13
-
-
84894307595
-
Second-order information in the adaptive search exploration algorithm
-
Long Beach, CA, paper AIAA-2000-4765
-
U.M. GARCÍA-PALOMAES AND J.F. RODRÍGUEZ, Second-order Information in the Adaptive Search Exploration Algorithm, presented at the 8th AIAA/USAF/NASA/ISSMO/Symposium on Multidisciplinary Analysis and Optimization, Long Beach, CA, 2000, paper AIAA-2000-4765.
-
(2000)
8th AIAA/USAF/NASA/ISSMO/Symposium on Multidisciplinary Analysis and Optimization
-
-
García-Palomaes, U.M.1
Rodríguez, J.F.2
-
14
-
-
0002350922
-
General optimality conditions via a separation scheme
-
E. Spedicato, ed., Kluwer Academic Publishers, Norwell, MA
-
F. GIANESSI, General optimality conditions via a separation scheme, in Algorithms for Continuous Optimization: The State of the Art, E. Spedicato, ed., Kluwer Academic Publishers, Norwell, MA, 1994, pp. 1-23.
-
(1994)
Algorithms for Continuous Optimization: The State of the Art
, pp. 1-23
-
-
Gianessi, F.1
-
15
-
-
0036207607
-
Asynchronous parallel pattern search for nonlinear optimization
-
P.D. HOUGH, T.G. KOLDA, AND V.J. TORCZON, Asynchronous parallel pattern search for nonlinear optimization, SIAM J. Sci. Comput., 23 (2001), pp. 134-156.
-
(2001)
SIAM J. Sci. Comput.
, vol.23
, pp. 134-156
-
-
Hough, P.D.1
Kolda, T.G.2
Torczon, V.J.3
-
16
-
-
34249767550
-
Second-order necessary and sufficient conditions in nonsmooth optimization
-
L.R. HUANG AND K.F. NG, Second-order necessary and sufficient conditions in nonsmooth optimization, Math. Programming, 66 (1994), pp. 379-402.
-
(1994)
Math. Programming
, vol.66
, pp. 379-402
-
-
Huang, L.R.1
Ng, K.F.2
-
17
-
-
0003395046
-
-
Prentice-Hall, Englewood Cliffs, NJ
-
S.L.S. JACOBY, J.S. KOWALIK, AND J.T. PIZZO, Iterative Methods for Nonlinear Optimization Problems, Prentice-Hall, Englewood Cliffs, NJ, 1972.
-
(1972)
Iterative Methods for Nonlinear Optimization Problems
-
-
Jacoby, S.L.S.1
Kowalik, J.S.2
Pizzo, J.T.3
-
18
-
-
0033274347
-
Detection and remediation of stagnation in the Nelder-Mead algorithm using a sufficient decrease condition
-
C.T. KELLEY, Detection and remediation of stagnation in the Nelder-Mead algorithm using a sufficient decrease condition, SIAM J. Optim., 10 (1999), pp. 43-55.
-
(1999)
SIAM J. Optim.
, vol.10
, pp. 43-55
-
-
Kelley, C.T.1
-
19
-
-
0003267930
-
Iterative methods for optimization
-
SIAM, Philadelphia
-
C.T. KELLEY, Iterative Methods for Optimization, Frontiers Appl. Math., SIAM, Philadelphia, 1999.
-
(1999)
Frontiers Appl. Math.
-
-
Kelley, C.T.1
-
20
-
-
0032251894
-
Convergence properties of the Nelder-Mead simplex method in low dimensions
-
J.C. LAGARIAS, J.A. REEDS, M.H. WRIGHT, AND P.E. WRIGHT, Convergence properties of the Nelder-Mead simplex method in low dimensions, SIAM J. Optim., 9 (1998), pp. 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
-
21
-
-
0003686336
-
-
Technical report TR96-71, ICASE, Langley Research Center, Hampton, VA
-
R.M. LEWIS AND V. TORCZON, Rank Ordering and Positive Basis in Pattern Search Algo rithms, Technical report TR96-71, ICASE, Langley Research Center, Hampton, VA, 1996.
-
(1996)
Rank Ordering and Positive Basis in Pattern Search Algo Rithms
-
-
Lewis, R.M.1
Torczon, V.2
-
22
-
-
0036436111
-
A globally convergent augmented Lagrangian pattern search algorithm for optimization with general constraints and simple bounds
-
R.M. LEWIS AND V. TORCZON, A globally convergent augmented Lagrangian pattern search algorithm for optimization with general constraints and simple bounds, SIAM J. Optim., 12 (2002), pp. 1075-1089.
-
(2002)
SIAM J. Optim.
, vol.12
, pp. 1075-1089
-
-
Lewis, R.M.1
Torczon, V.2
-
23
-
-
0033412824
-
Pattern search algorithms for bound constrained minimization
-
R.M. LEWIS AND V. TORCZON, Pattern search algorithms for bound constrained minimization, SIAM J. Optim., 9 (1999), pp. 1082-1099.
-
(1999)
SIAM J. Optim.
, vol.9
, pp. 1082-1099
-
-
Lewis, R.M.1
Torczon, V.2
-
24
-
-
0003432973
-
-
Technical report, Università di Roma "La Sapienza", Dipartimento di Informatica e Sistemistica, Rome
-
S. LUCIDI AND M. SCIANDRONE, On the Global Convergence of Derivative Free Methods for Unconstrained Optimization, Technical report, Università di Roma "La Sapienza", Dipartimento di Informatica e Sistemistica, Rome, 1997.
-
(1997)
On the Global Convergence of Derivative Free Methods for Unconstrained Optimization
-
-
Lucidi, S.1
Sciandrone, M.2
-
25
-
-
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), pp. 148-158.
-
(1998)
SIAM J. Optim.
, vol.9
, pp. 148-158
-
-
McKinnon, K.I.M.1
-
26
-
-
0016538991
-
A superlinearly convergent algorithm for minimization without evaluating derivatives
-
R. MIFFLIN, A superlinearly convergent algorithm for minimization without evaluating derivatives, Math. Programming, 9 (1975), pp. 100-117.
-
(1975)
Math. Programming
, vol.9
, pp. 100-117
-
-
Mifflin, R.1
-
27
-
-
0000238336
-
A simplex method for function minimization
-
J.A. NELDER AND R. MEAD, A simplex method for function minimization, The Computer Journal, 7 (1965), pp. 308-313.
-
(1965)
The Computer Journal
, vol.7
, pp. 308-313
-
-
Nelder, J.A.1
Mead, R.2
-
29
-
-
0001601094
-
Newton's methods for B-differentiable equations
-
J.-S. PANG, Newton's methods for B-differentiable equations, Math. Oper. Res., 15 (1990), pp. 311-341.
-
(1990)
Math. Oper. Res.
, vol.15
, pp. 311-341
-
-
Pang, J.-S.1
-
30
-
-
0003098115
-
Minimization of locally Lipschitzian functions
-
J.-S. PANG, S.-P. HAN, AND N. RANGARAJ, Minimization of locally Lipschitzian functions, SIAM J. Optim., 1 (1991), pp. 57-82.
-
(1991)
SIAM J. Optim.
, vol.1
, pp. 57-82
-
-
Pang, J.-S.1
Han, S.-P.2
Rangaraj, N.3
-
31
-
-
0001008029
-
An efficient method of finding the minimum of a function of several variables without calculating derivatives
-
M.J.D. POWELL, An efficient method of finding the minimum of a function of several variables without calculating derivatives, The Computer Journal, 7 (1964), pp. 155-162.
-
(1964)
The Computer Journal
, vol.7
, pp. 155-162
-
-
Powell, M.J.D.1
-
32
-
-
0013466347
-
A method of minimizing functions without computing derivatives
-
B.N. PSENICHNY, A method of minimizing functions without computing derivatives, Dokl. Akad. SSSR, 235 (1977), pp. 1097-1100.
-
(1977)
Dokl. Akad. SSSR
, vol.235
, pp. 1097-1100
-
-
Psenichny, B.N.1
-
33
-
-
0013466348
-
Computational nonsmooth optimization
-
Elsevier Science, New York
-
L. QI, A. RUSZCZYŃSKI, AND R. WOMERSLEY, EDS., Computational Nonsmooth Optimization, Mathematical Programming Series B 3-1, Elsevier Science, New York, 1997.
-
(1997)
Mathematical Programming Series B
, vol.3
, Issue.1
-
-
Qi, L.1
Ruszczyński, A.2
Womersley, R.3
-
34
-
-
0020702702
-
Local structure of feasible sets in nonlinear programming, Part III: Stability and sensitivity
-
S.M. ROBINSON, Local structure of feasible sets in nonlinear programming, Part III: Stability and sensitivity, Mathematical Programming Study, 30 (1987), pp. 45-66.
-
(1987)
Mathematical Programming Study
, vol.30
, pp. 45-66
-
-
Robinson, S.M.1
-
35
-
-
0013539557
-
Convex analysis
-
2nd ed., Princeton University Press, Princeton, NJ
-
R.T. ROCKAFELLAR, Convex Analysis, Princeton Math. Ser. 28, 2nd ed., Princeton University Press, Princeton, NJ, 1972.
-
(1972)
Princeton Math. Ser.
, vol.28
-
-
Rockafellar, R.T.1
-
36
-
-
0013501570
-
Simplex algorithms for unconstrained optimization
-
A.S. RYKOV, Simplex algorithms for unconstrained optimization, Probl. Control Inform. Theory, 12 (1983), pp. 195-208.
-
(1983)
Probl. Control Inform. Theory
, vol.12
, pp. 195-208
-
-
Rykov, A.S.1
-
37
-
-
0002912764
-
A modification of Davidon's method to accept difference approximations of derivatives
-
G.W. STEWART, A modification of Davidon's method to accept difference approximations of derivatives, J. ACM, 14 (1967), pp. 72-83.
-
(1967)
J. ACM
, vol.14
, pp. 72-83
-
-
Stewart, G.W.1
-
38
-
-
0026888366
-
Yield optimization using a GaAs process simulator coupled to a physical device model
-
D. STONEKING, G. BILBRO, R. TREW, P. GILMORE, AND C.T. KELLEY, Yield optimization using a GaAs process simulator coupled to a physical device model, IEEE Trans. Microwave Theory and Techniques, 40 (1992), pp. 1353-1363.
-
(1992)
IEEE Trans. Microwave Theory and Techniques
, vol.40
, pp. 1353-1363
-
-
Stoneking, D.1
Bilbro, G.2
Trew, R.3
Gilmore, P.4
Kelley, C.T.5
-
39
-
-
0004036758
-
-
Ph.D. thesis, Department of Mathematical Sciences, Rice University, Houston, TX
-
V. TORCZON, Multi-Directional Search: A Direct Search Algorithm for Parallel Machines, Ph.D. thesis, Department of Mathematical Sciences, Rice University, Houston, TX, 1989.
-
(1989)
Multi-Directional Search: A Direct Search Algorithm for Parallel Machines
-
-
Torczon, V.1
-
40
-
-
84964345631
-
On the convergence of the multidirectional search algorithm
-
V. TORCZON, On the convergence of the multidirectional search algorithm, SIAM J. Optim., 1 (1991), pp. 123-145.
-
(1991)
SIAM J. Optim.
, vol.1
, pp. 123-145
-
-
Torczon, V.1
-
41
-
-
0031540855
-
On the convergence of pattern search algorithms
-
V. TORCZON, On the convergence of pattern search algorithms, SIAM J. Optim., 7 (1997), pp. 1-25.
-
(1997)
SIAM J. Optim.
, vol.7
, pp. 1-25
-
-
Torczon, V.1
-
42
-
-
0033267174
-
Fortified-descent simplicial search method: A general approach
-
P. TSENG, Fortified-descent simplicial search method: A general approach, SIAM J. Optim., 10 (1999), pp. 269-288.
-
(1999)
SIAM J. Optim.
, vol.10
, pp. 269-288
-
-
Tseng, P.1
-
43
-
-
0029689353
-
A new unconstrained optimization method for imprecise function and gradient values
-
M.N. VRAHATIS, G.S. ANDROULAKIS, AND G.E. MANOUSSAKIS, A new unconstrained optimization method for imprecise function and gradient values, J. Math. Anal. Appl., 197 (1996), pp. 586-607.
-
(1996)
J. Math. Anal. Appl.
, vol.197
, pp. 586-607
-
-
Vrahatis, M.N.1
Androulakis, G.S.2
Manoussakis, G.E.3
-
45
-
-
0001720476
-
On the convergence of gradient methods under descent
-
P. WOLFE, On the convergence of gradient methods under descent, IBM J. Research and Development, 16 (1972), pp. 407-411.
-
(1972)
IBM J. Research and Development
, vol.16
, pp. 407-411
-
-
Wolfe, P.1
-
46
-
-
0028442796
-
A nonsmooth Newton method for variational inequalities, I: Theory
-
B. XIAO AND P.T. HARKER, A nonsmooth Newton method for variational inequalities, I: Theory, Math. Programming, 65 (1994), pp. 151-194.
-
(1994)
Math. Programming
, vol.65
, pp. 151-194
-
-
Xiao, B.1
Harker, P.T.2
|