-
1
-
-
0002657444
-
Design and evaluation of modified simplex methods
-
E. R. Åberg and A. G. T. Gustavsson, Design and evaluation of modified simplex methods, Analytica Chimica Acta, 144 (1982), pp. 39-53.
-
(1982)
Analytica Chimica Acta
, vol.144
, pp. 39-53
-
-
Åberg, E.R.1
Gustavsson, A.G.T.2
-
2
-
-
0242693578
-
Pattern search algorithms for mixed variable general constrained optimization problems
-
Ph.D. thesis, Department of Computational and Applied Mathematics, Rice University, Houston, TX
-
M. A. Abramson, Pattern Search Algorithms for Mixed Variable General Constrained Optimization Problems, Ph.D. thesis, Department of Computational and Applied Mathematics, Rice University, Houston, TX, 2002.
-
(2002)
-
-
Abramson, M.A.1
-
3
-
-
0242524763
-
Generalized pattern searches with derivative information
-
Tech. Rep. 02-10, Department of Computational and Applied Mathematics, Rice University, Houston, TX
-
M. A. Abramson, C. Audet, and J. E. Dennis, Jr., Generalized Pattern Searches with Derivative Information, Tech. Rep. 02-10, Department of Computational and Applied Mathematics, Rice University, Houston, TX, 2002.
-
(2002)
-
-
Abramson, M.A.1
Audet, C.2
Dennis Jr., J.E.3
-
4
-
-
0017453802
-
Function minimisation using the Nelder and Mead simplex method with limited arithmetic precision: The self regenerative simplex
-
J. W. Akitt, Function minimisation using the Nelder and Mead simplex method with limited arithmetic precision: The self regenerative simplex, Comput. J., 20 (1977), pp. 84-85.
-
(1977)
Comput. J.
, vol.20
, pp. 84-85
-
-
Akitt, J.W.1
-
5
-
-
85039626911
-
Pattern search methods for user-provided points: Application to molecular geometry problems
-
Tech. Rep. 00-20, Departamento de Matemática, Universidade de Coimbra, Portugal; (revised 2002)
-
P. Alberto, F. Nogueira, H. Rocha, and L. N. Vicente, Pattern Search Methods for User-Provided Points: Application to Molecular Geometry Problems, Tech. Rep. 00-20, Departamento de Matemática, Universidade de Coimbra, Portugal, 2000 (revised 2002).
-
(2000)
-
-
Alberto, P.1
Nogueira, F.2
Rocha, H.3
Vicente, L.N.4
-
6
-
-
0035238776
-
A direct search algorithm for optimization with noisy function evaluations
-
E. J. Anderson and M. C. Ferris, A direct search algorithm for optimization with noisy function evaluations, SIAM J. Optim., 11 (2001), pp. 837-857.
-
(2001)
SIAM J. Optim.
, vol.11
, pp. 837-857
-
-
Anderson, E.J.1
Ferris, M.C.2
-
7
-
-
0242524768
-
Scattering of positive pions by hydrogen at 189 MeV
-
H. L. Anderson, W. C. Davidon, M. G. Glicksman, and U. E. Kruse, Scattering of positive pions by hydrogen at 189 MeV, Phys. Rev., 100 (1955), pp. 279-287.
-
(1955)
Phys. Rev.
, vol.100
, pp. 279-287
-
-
Anderson, H.L.1
Davidon, W.C.2
Glicksman, M.G.3
Kruse, U.E.4
-
8
-
-
0242609485
-
A new algorithm for optimization
-
Anonymous, A new algorithm for optimization, Math. Programming, 3 (1972), pp. 124-128.
-
(1972)
Math. Programming
, vol.3
, pp. 124-128
-
-
-
9
-
-
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
-
10
-
-
0003796742
-
Convergence results for pattern search algorithms are tight
-
Tech. Rep. G-2002-56, Les Cahiers du GERAD, École Polytechnique de Montréal, Département de Mathématiques et de Génie Industriel, Montréal, QC, Canada
-
C. Audet, Convergence Results for Pattern Search Algorithms Are Tight, Tech. Rep. G-2002-56, Les Cahiers du GERAD, École Polytechnique de Montréal, Département de Mathématiques et de Génie Industriel, Montréal, QC, Canada, 2002.
-
(2002)
-
-
Audet, C.1
-
11
-
-
0035238782
-
Pattern search algorithms for mixed variable programming
-
C. Audet and J. E. Dennis, Jr., Pattern search algorithms for mixed variable programming, SIAM J. Optim., 11 (2000), pp. 573-594.
-
(2000)
SIAM J. Optim.
, vol.11
, pp. 573-594
-
-
Audet, C.1
Dennis Jr., J.E.2
-
12
-
-
0041798103
-
A pattern search filter method for nonlinear programming without derivatives
-
Tech. Rep. 00-09, Department of Computational and Applied Mathematics, Rice University, Houston, TX
-
C. Audet and J. E. Dennis Jr., A Pattern Search Filter Method for Nonlinear Programming without Derivatives, Tech. Rep. 00-09, Department of Computational and Applied Mathematics, Rice University, Houston, TX, 2000.
-
(2000)
-
-
Audet, C.1
Dennis Jr., J.E.2
-
13
-
-
0043032999
-
Analysis of generalized pattern searches
-
C. Audet and J. E. Dennis, Jr., Analysis of generalized pattern searches, SIAM J. Optim., 13 (2003), pp. 889-903.
-
(2003)
SIAM J. Optim.
, vol.13
, pp. 889-903
-
-
Audet, C.1
Dennis Jr., J.E.2
-
14
-
-
34249842390
-
A pivoting algorithm for convex hulls and vertex enumeration of arrangements and polyhedra
-
D. M. Avis and K. Fukuda, A pivoting algorithm for convex hulls and vertex enumeration of arrangements and polyhedra, Discrete Comput. Geom., 8 (1992), pp. 295-313.
-
(1992)
Discrete Comput. Geom.
, vol.8
, pp. 295-313
-
-
Avis, D.M.1
Fukuda, K.2
-
17
-
-
0242441159
-
A comparative study of nonlinear optimization codes
-
Master's thesis, University of Texas at Austin
-
G. K. Barnes, A Comparative Study of Nonlinear Optimization Codes, Master's thesis, University of Texas at Austin, 1967.
-
(1967)
-
-
Barnes, G.K.1
-
18
-
-
0242441160
-
Picking optimization methods
-
R. A. Barneson, N. F. Brannock, J. G. Moore, and C. Morris, Picking optimization methods, Chemical Engrg., 77 (1970), pp. 132-142.
-
(1970)
Chemical Engrg.
, vol.77
, pp. 132-142
-
-
Barneson, R.A.1
Brannock, N.F.2
Moore, J.G.3
Morris, C.4
-
19
-
-
3342989394
-
Remark on algorithm 178
-
M. Bell and M. C. Pike, Remark on algorithm 178, Comm. ACM, 9 (1966), pp. 684-685.
-
(1966)
Comm. ACM
, vol.9
, pp. 684-685
-
-
Bell, M.1
Pike, M.C.2
-
20
-
-
0013529039
-
Remark AS R15. Function minimization using a simplex procedure
-
P. R. Benyon, Remark AS R15. Function minimization using a simplex procedure, Appl. Statist., 25 (1976), p. 97.
-
(1976)
Appl. Statist.
, vol.25
, pp. 97
-
-
Benyon, P.R.1
-
21
-
-
0013035439
-
Minimization by successive approximation
-
G. Berman, Minimization by successive approximation, SIAM J. Numer. Anal., 3 (1966), pp. 123-133.
-
(1966)
SIAM J. Numer. Anal.
, vol.3
, pp. 123-133
-
-
Berman, G.1
-
22
-
-
0242609488
-
Lattice approximations to the minima of functions of several variables
-
G. Berman, Lattice approximations to the minima of functions of several variables, J. ACM, 16 (1969), pp. 286-294.
-
(1969)
J. ACM
, vol.16
, pp. 286-294
-
-
Berman, G.1
-
23
-
-
0001730202
-
Reflections on the modified simplex - I
-
D. Betteridge, A. P. Wade, and A. G. Howard, Reflections on the modified simplex - I, Talanta, 32 (1985), pp. 709-722.
-
(1985)
Talanta
, vol.32
, pp. 709-722
-
-
Betteridge, D.1
Wade, A.P.2
Howard, A.G.3
-
24
-
-
46549102993
-
Reflections on the modified simplex - II
-
D. Betteridge, A. P. Wade, and A. G. Howard, Reflections on the modified simplex - II, Talanta, 32 (1985), pp. 723-734.
-
(1985)
Talanta
, vol.32
, pp. 723-734
-
-
Betteridge, D.1
Wade, A.P.2
Howard, A.G.3
-
25
-
-
0030245387
-
The ADIFOR 2.0 system for the automatic differentiation of Fortran 77 programs
-
C. Bischof, A. Carle, P. Khademi, and A. Mauer, The ADIFOR 2.0 system for the automatic differentiation of Fortran 77 programs, IEEE Comput. Sci. Engrg., 3 (1996), pp. 18-32.
-
(1996)
IEEE Comput. Sci. Engrg.
, vol.3
, pp. 18-32
-
-
Bischof, C.1
Carle, A.2
Khademi, P.3
Mauer, A.4
-
26
-
-
0003888890
-
-
Tech. Rep. CRPC-95516-S, Center for Research on Parallel Computation, Rice University, Houston, TX
-
C. Bischof, A. Carle, P. Khademi, A. Mauer, and P. Hovland, ADIFOR 2.0 User's Guide (Revision C), Tech. Rep. CRPC-95516-S, Center for Research on Parallel Computation, Rice University, Houston, TX, 1995.
-
(1995)
ADIFOR 2.0 User's Guide (Revision C)
-
-
Bischof, C.1
Carle, A.2
Khademi, P.3
Mauer, A.4
Hovland, P.5
-
27
-
-
0006356741
-
ADIC - An extensible automatic differentiation tool for ANSI-C
-
Tech. Rep. ANL/CS-P626-1196, Mathematics and Computer Science Division, Argonne National Laboratory, Argonne, IL
-
C. Brischof, L. Roh, and A. Mauer, ADIC - An Extensible Automatic Differentiation Tool for ANSI-C, Tech. Rep. ANL/CS-P626-1196, Mathematics and Computer Science Division, Argonne National Laboratory, Argonne, IL, 1996.
-
(1996)
-
-
Brischof, C.1
Roh, L.2
Mauer, A.3
-
28
-
-
84958730845
-
ADIFOR: Generating derivative codes from Fortran programs
-
C. H. Bischof, A. Carle, G. corliss, A. O. Griewank, and P. Hovland, ADIFOR: Generating derivative codes from Fortran programs, Sci. Programming, 1 (1992), pp. 11-29.
-
(1992)
Sci. Programming
, vol.1
, pp. 11-29
-
-
Bischof, C.H.1
Carle, A.2
Corliss, G.3
Griewank, A.O.4
Hovland, P.5
-
29
-
-
84966233479
-
A stability analysis for perturbed nonlinear iterative methods
-
P. T. Boggs and J. E. Dennis, Jr., A stability analysis for perturbed nonlinear iterative methods, Math. Comp., 30 (1976), pp. 199-215.
-
(1976)
Math. Comp.
, vol.30
, pp. 199-215
-
-
Boggs, P.T.1
Dennis Jr., J.E.2
-
30
-
-
0242609490
-
Optimization using surrogate objectives on a helicopter test example
-
J. Borggaard, J. Burns, E. Cliff, and S. Schreck, eds., Progr. Systems Control Theory, Birkhäuser, Cambridge, MA
-
A. J. Booker, J. E. Dennis, Jr., P. D. Frank, D. B. Serafini, and V. Torczon, Optimization using surrogate objectives on a helicopter test example, in Optimal Design and Control, J. Borggaard, J. Burns, E. Cliff, and S. Schreck, eds., Progr. Systems Control Theory, Birkhäuser, Cambridge, MA, 1998, pp. 49-58.
-
(1998)
Optimal Design and Control
, pp. 49-58
-
-
Booker, A.J.1
Dennis Jr., J.E.2
Frank, P.D.3
Serafini, D.B.4
Torczon, V.5
-
31
-
-
0033077012
-
A rigorous framework for optimization of expensive functions by surrogates
-
A. J. Booker, J. E. Dennis Jr., P. D. Frank, D. B. Serafini, V. Torczon, and M. W. Trosset, A rigorous framework for optimization of expensive functions by surrogates, Structural Optimization, 17 (1999), pp. 1-13.
-
(1999)
Structural Optimization
, vol.17
, pp. 1-13
-
-
Booker, A.J.1
Dennis Jr., J.E.2
Frank, P.D.3
Serafini, D.B.4
Torczon, V.5
Trosset, M.W.6
-
32
-
-
85087191273
-
On sensitivity analysis for problems with numerical noise
-
AIAA Paper 2002-5553
-
J. Borggaard, D. Pelletier, and K. Vugrin, On Sensitivity Analysis for Problems with Numerical Noise, AIAA Paper 2002-5553; presented at the 9th AIAA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, Atlanta, GA, 2002.
-
9th AIAA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, Atlanta, GA, 2002
-
-
Borggaard, J.1
Pelletier, D.2
Vugrin, K.3
-
33
-
-
0001948242
-
The simplex gradient and noisy optimization problems
-
J. Borggaard, J. Burns, E. Cliff, and S. Schreck, eds., Progr. Systems Control Theory, Birkhäuser, Cambridge, MA
-
D. M. Bortz and C. T. Kelley, The simplex gradient and noisy optimization problems, in Optimal Design and Control, J. Borggaard, J. Burns, E. Cliff, and S. Schreck, eds., Progr. Systems Control Theory, Birkhäuser, Cambridge, MA, 1998, pp. 77-90.
-
(1998)
Optimal Design and Control
, pp. 77-90
-
-
Bortz, D.M.1
Kelley, C.T.2
-
34
-
-
0000067553
-
The exploration and exploitation of response surfaces: Some general considerations and examples
-
G. E. P. Box, The exploration and exploitation of response surfaces: Some general considerations and examples, Biometrics, 10 (1954), pp. 16-60.
-
(1954)
Biometrics
, vol.10
, pp. 16-60
-
-
Box, G.E.P.1
-
35
-
-
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), pp. 81-101.
-
(1957)
Appl. Statist.
, vol.6
, pp. 81-101
-
-
Box, G.E.P.1
-
38
-
-
0002363078
-
On the experimental attainment of optimum conditions
-
G. E. P. Box and K. B. Wilson, On the experimental attainment of optimum conditions, J. Roy. Statist. Soc. Ser. B, 13 (1951), pp. 1-45.
-
(1951)
J. Roy. Statist. Soc. Ser. B
, vol.13
, pp. 1-45
-
-
Box, G.E.P.1
Wilson, K.B.2
-
39
-
-
0002606725
-
A new method of constrained optimization and a comparison with other methods
-
M. J. Box, A new method of constrained optimization and a comparison with other methods, Comput. J., 8 (1965) pp. 42-52.
-
(1965)
Comput. J.
, vol.8
, pp. 42-52
-
-
Box, M.J.1
-
40
-
-
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), pp. 67-77.
-
(1966)
Comput. J.
, vol.9
, pp. 67-77
-
-
Box, M.J.1
-
41
-
-
0242712166
-
-
ICI Monograph 5, Oliver & Boyd, Edinburgh, UK
-
M. J. Box, D. Davies, and W. H. Swann, Non-linear Optimization Techniques, ICI Monograph 5, Oliver & Boyd, Edinburgh, UK, 1969.
-
(1969)
Non-linear Optimization Techniques
-
-
Box, M.J.1
Davies, D.2
Swann, W.H.3
-
42
-
-
0003465464
-
-
Prentice-Hall, Englewood Cliffs, NJ, 1973; reissued by Dover Publications, Mineaola, NY
-
R. P. Brent, Algorithms for Minimization without Derivatives, Prentice-Hall, Englewood Cliffs, NJ, 1973; reissued by Dover Publications, Mineaola, NY, 2002.
-
(2002)
Algorithms for Minimization Without Derivatives
-
-
Brent, R.P.1
-
43
-
-
33845559433
-
High-speed algorithm for simplex optimization calculations
-
G. F. Brissey, R. B. Spencer, and C. L. Wilkins, High-speed algorithm for simplex optimization calculations, Analytical Chem., 51 (1979), pp. 2295-2297.
-
(1979)
Analytical Chem.
, vol.51
, pp. 2295-2297
-
-
Brissey, G.F.1
Spencer, R.B.2
Wilkins, C.L.3
-
44
-
-
0043067908
-
A new direction set method for unconstrained minimization without evaluating derivatives
-
K. W. Brodlie, A new direction set method for unconstrained minimization without evaluating derivatives, J. Inst. Math. Appl., 15 (1975), pp. 385-396.
-
(1975)
J. Inst. Math. Appl.
, vol.15
, pp. 385-396
-
-
Brodlie, K.W.1
-
45
-
-
84925464797
-
-
The Scientific Press, Danvers, MA
-
A. Brooke, D. Kendrick, and A. Meeraus, GAMS: A Users' Guide, The Scientific Press, Danvers, MA, 1988.
-
(1988)
GAMS: A Users' Guide
-
-
Brooke, A.1
Kendrick, D.2
Meeraus, A.3
-
46
-
-
0242693599
-
A comparison of maximum-seeking methods
-
S. H. Brooks, A comparison of maximum-seeking methods, Oper. Res., 7 (1959), pp. 430-457.
-
(1959)
Oper. Res.
, vol.7
, pp. 430-457
-
-
Brooks, S.H.1
-
47
-
-
0242609499
-
Optimum estimation of gradient direction in steepest ascent experiments
-
S. H. Brooks and M. R. Mickey, Optimum estimation of gradient direction in steepest ascent experiments, Biometrics, 17 (1961), pp. 48-56.
-
(1961)
Biometrics
, vol.17
, pp. 48-56
-
-
Brooks, S.H.1
Mickey, M.R.2
-
48
-
-
84968510937
-
A class of methods for solving nonlinear simultaneous equations
-
C. G. Broyden, A class of methods for solving nonlinear simultaneous equations, Math. Comp., 19 (1965), pp. 577-593.
-
(1965)
Math. Comp.
, vol.19
, pp. 577-593
-
-
Broyden, C.G.1
-
49
-
-
0039316975
-
A derivative-free algorithm for parallel and sequential optimization
-
tech. rep., Computer Science Department, University of Victoria, BC, Canada
-
A. G. Buckley and H. Ma, A Derivative-Free Algorithm for Parallel and Sequential Optimization, tech. rep., Computer Science Department, University of Victoria, BC, Canada, 1994.
-
(1994)
-
-
Buckley, A.G.1
Ma, H.2
-
50
-
-
0036668237
-
Insensitive functionals, inconsistent gradients, spurious minima, and regularized functionals in flow optimization problems
-
J. Burkardt, M. Gunzburger, and J. Peterson, Insensitive functionals, inconsistent gradients, spurious minima, and regularized functionals in flow optimization problems, Int. J. Comput. Fluid Dyn., 16 (2002), pp. 171-185.
-
(2002)
Int. J. Comput. Fluid Dyn.
, vol.16
, pp. 171-185
-
-
Burkardt, J.1
Gunzburger, M.2
Peterson, J.3
-
51
-
-
0001752875
-
Optimisation via simplex: Part I. Background, definitions and a simple application
-
K. W. C. Burton and G. Nickless, Optimisation via simplex: Part I. Background, definitions and a simple application, Chemometrics and Intelligent Laboratory Systems, 1 (1987), pp. 135-149.
-
(1987)
Chemometrics and Intelligent Laboratory Systems
, vol.1
, pp. 135-149
-
-
Burton, K.W.C.1
Nickless, G.2
-
52
-
-
0023416451
-
Projected gradient methods for linearly constrained problems
-
P. H. Calamai and J. J. Moré, Projected gradient methods for linearly constrained problems, Math. Programming, 39 (1987), pp. 93-116.
-
(1987)
Math. Programming
, vol.39
, pp. 93-116
-
-
Calamai, P.H.1
Moré, J.J.2
-
53
-
-
0242524790
-
Recent results on the accelerating property of an algorithm for function minimization without calculating derivatives
-
A. Prekopa, ed., Hungarian Academy of Sciences, Budapest
-
F. M. Callier and P. L. Toint, Recent results on the accelerating property of an algorithm for function minimization without calculating derivatives, in Survey of Mathematical Programming, A. Prekopa, ed., Hungarian Academy of Sciences, Budapest, 1977, pp. 369-376.
-
(1977)
Survey of Mathematical Programming
, pp. 369-376
-
-
Callier, F.M.1
Toint, P.L.2
-
54
-
-
0000533741
-
The created response surface technique for optimizing nonlinear, restrained systems
-
with "Comments on the Preceding Paper" by Anthony V. Fiacco
-
C. W. Carroll, The created response surface technique for optimizing nonlinear, restrained systems, Oper. Res., 9 (1961), pp. 169-185; with "Comments on the Preceding Paper" by Anthony V. Fiacco.
-
(1961)
Oper. Res.
, vol.9
, pp. 169-185
-
-
Carroll, C.W.1
-
55
-
-
0009773140
-
An improved simplex algorithm for dealing with boundary conditions
-
M. R. Cave, An improved simplex algorithm for dealing with boundary conditions, Analytica Chimica Acta, 181 (1986), pp. 107-116.
-
(1986)
Analytica Chimica Acta
, vol.181
, pp. 107-116
-
-
Cave, M.R.1
-
57
-
-
0006037123
-
Remark AS R11. A remark on algorithm AS 47 'function minimization using a simplex procedure
-
J. M. Chambers and J. E. Ertel, Remark AS R11. A remark on algorithm AS 47 'Function minimization using a simplex procedure,' Appl. Statist., 23 (1974), pp. 250-251.
-
(1974)
Appl. Statist.
, vol.23
, pp. 250-251
-
-
Chambers, J.M.1
Ertel, J.E.2
-
58
-
-
0003048173
-
SIMPLEX - Finds local minima of a function of several parameters (note)
-
J. P. Chandler, SIMPLEX - finds local minima of a function of several parameters (note), Behavioral Sci., 14 (1969), p. 82.
-
(1969)
Behavioral Sci.
, vol.14
, pp. 82
-
-
Chandler, J.P.1
-
59
-
-
0242430246
-
STEPT: A family of routines for optimization and the fitting of data
-
Tech. Rep. QCPE 307, Quantum Chemistry Program Exchange, Chemistry Department, Indiana University, Bloomington, IN
-
J. P. Chandler, STEPT: A family of routines for optimization and the fitting of data, Tech. Rep. QCPE 307, Quantum Chemistry Program Exchange, Chemistry Department, Indiana University, Bloomington, IN, 1975.
-
(1975)
-
-
Chandler, J.P.1
-
61
-
-
0014779893
-
A nongradient and parallel algorithm for unconstrained minimization
-
D. Chazan and W. L. Miranker, A nongradient and parallel algorithm for unconstrained minimization, SIAM J. Control, 8 (1970), pp. 207-217.
-
(1970)
SIAM J. Control
, vol.8
, pp. 207-217
-
-
Chazan, D.1
Miranker, W.L.2
-
62
-
-
0242693608
-
A new simplex procedure for function minimization
-
D. H. Chen, Z. Saleem, and D. W. Grace, A new simplex procedure for function minimization, Internat. J. Modelling & Simulation, 6 (1986), pp. 81-85.
-
(1986)
Internat. J. Modelling & Simulation
, vol.6
, pp. 81-85
-
-
Chen, D.H.1
Saleem, Z.2
Grace, D.W.3
-
63
-
-
85039615625
-
-
Department of Applied Mathematics, Northwest Telecommunication Engineering Institute, Xi'an, China
-
K.-Z. Chen and Y.-P. Wang, A New Direct Search Algorithm and Its Convergence, Department of Applied Mathematics, Northwest Telecommunication Engineering Institute, Xi'an, China.
-
A New Direct Search Algorithm and Its Convergence
-
-
Chen, K.-Z.1
Wang, Y.-P.2
-
64
-
-
0005079030
-
A local variation method for the numerical solution of variational problems
-
F. L. Chernous'ko, A local variation method for the numerical solution of variational problems, U.S.S.R. Comput. Math. and Math. Phys., 5 (1965), pp. 234-242.
-
(1965)
U.S.S.R. Comput. Math. and Math. Phys.
, vol.5
, pp. 234-242
-
-
Chernous'Ko, F.L.1
-
65
-
-
0034345430
-
Superlinear convergence and implicit filtering
-
T. D. Choi and C. T. Kelley, Superlinear convergence and implicit filtering, SIAM J. Optim., 10 (2000), pp. 1149-1162.
-
(2000)
SIAM J. Optim.
, vol.10
, pp. 1149-1162
-
-
Choi, T.D.1
Kelley, C.T.2
-
66
-
-
0003859933
-
-
Wiley, New York; reissued as Classics Appl. Math. 5, SIAM, Philadelphia, 1990
-
F. H. Clarke, Optimization and Nonsmooth Analysis, Wiley, New York, 1983; reissued as Classics Appl. Math. 5, SIAM, Philadelphia, 1990.
-
(1983)
Optimization and Nonsmooth Analysis
-
-
Clarke, F.H.1
-
67
-
-
0002467356
-
Global convergence of a class of trust region algorithms for optimization with simple bounds
-
A. R. Conn, N. I. M. Gould, and P. L. Toint, Global convergence of a class of trust region algorithms for optimization with simple bounds, SIAM J. Numer. Anal., 25 (1988), pp. 433-460.
-
(1988)
SIAM J. Numer. Anal.
, vol.25
, pp. 433-460
-
-
Conn, A.R.1
Gould, N.I.M.2
Toint, P.L.3
-
68
-
-
0026136104
-
A globally convergent augmented Lagrangian algorithm for optimization with general constraints and simple bounds
-
A. R. Conn, N. I. M. Gould, and P. L. Toint, A globally convergent augmented Lagrangian algorithm for optimization with general constraints and simple bounds, SIAM J. Numer. Anal., 28 (1991), pp. 545-572.
-
(1991)
SIAM J. Numer. Anal.
, vol.28
, pp. 545-572
-
-
Conn, A.R.1
Gould, N.I.M.2
Toint, P.L.3
-
69
-
-
0003951723
-
-
MPS-SIAM Ser. Optim. 1, SIAM, Philadelphia
-
A. R. Conn, N. I. M. Gould, and P. L. Toint, Trust-Region Methods, MPS-SIAM Ser. Optim. 1, SIAM, Philadelphia, 2000.
-
(2000)
Trust-Region Methods
-
-
Conn, A.R.1
Gould, N.I.M.2
Toint, P.L.3
-
70
-
-
85039613629
-
-
DFO (Derivatives Free Optimization)
-
A. R. Conn, K. Scheinberg, and P. L. Toint, DFO (Derivatives Free Optimization); software available at http://oss.software.ibm.com/developerworks/ opersource/coin/.
-
-
-
Conn, A.R.1
Scheinberg, K.2
Toint, P.L.3
-
71
-
-
0002215475
-
On the convergence of derivative-free methods for unconstrained optimization
-
Tributes to M.J.D. Powell, M. D. Buhmann and A. Iserles, eds., Cambridge University Press, Cambridge, UK
-
A. R. Conn, K. Scheinberg, and P. L. Toint, On the convergence of derivative-free methods for unconstrained optimization, in Approximation theory and Optimization: Tributes to M.J.D. Powell, M. D. Buhmann and A. Iserles, eds., Cambridge University Press, Cambridge, UK, 1997, pp. 83-108.
-
(1997)
Approximation Theory and Optimization
, pp. 83-108
-
-
Conn, A.R.1
Scheinberg, K.2
Toint, P.L.3
-
72
-
-
0242609515
-
Recent progress in unconstrained nonlinear optimization without derivatives
-
T. M. Liebling and D. de Werra, eds., Mathematical Programming 79, Series B, Elsevier, Amsterdam
-
A. R. Conn, K. Scheinberg, and P. L. Toint, Recent progress in unconstrained nonlinear optimization without derivatives, in Lectures on Mathematical Programming: ismp97, T. M. Liebling and D. de Werra, eds., Mathematical Programming 79, Series B, Elsevier, Amsterdam, 1997, pp. 397-414.
-
(1997)
Lectures on Mathematical Programming: ismp97
, pp. 397-414
-
-
Conn, A.R.1
Scheinberg, K.2
Toint, P.L.3
-
73
-
-
84983194039
-
A derivative free optimization algorithm in practice
-
A. R. Conn, K. Scheinberg, and P. L. Toint, A derivative free optimization algorithm in practice, in Proceedings of the 7th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, St. Louis, MO, 1998.
-
Proceedings of the 7th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, St. Louis, MO, 1998
-
-
Conn, A.R.1
Scheinberg, K.2
Toint, P.L.3
-
74
-
-
0002999561
-
An algorithm using quadratic interpolation for unconstrained derivative free optimization
-
G. Di Pillo and F. Giannessi, eds., Kluwer Academic/Plenum Publishers, New York
-
A. R. Conn and P. L. Toint, An algorithm using quadratic interpolation for unconstrained derivative free optimization, in Nonlinear Optimization and Applications, G. Di Pillo and F. Giannessi, eds., Kluwer Academic/Plenum Publishers, New York, 1996, pp. 27-47.
-
(1996)
Nonlinear Optimization and Applications
, pp. 27-47
-
-
Conn, A.R.1
Toint, P.L.2
-
75
-
-
0034348652
-
Frame-based methods for unconstrained optimization
-
I. Coope and C. Price, Frame-based methods for unconstrained optimization, J. Optim. Theory Appl., 107 (2000), pp. 261-274.
-
(2000)
J. Optim. Theory Appl.
, vol.107
, pp. 261-274
-
-
Coope, I.1
Price, C.2
-
76
-
-
0008463666
-
A direct search conjugate directions algorithm for unconstrained minimization
-
I. D. Coope and C. J. Price, A direct search conjugate directions algorithm for unconstrained minimization, ANZIAM J., 42 (2000), pp. C478-498.
-
(2000)
ANZIAM J.
, vol.42
-
-
Coope, I.D.1
Price, C.J.2
-
77
-
-
0035623851
-
On the convergence of grid-based methods for unconstrained optimization
-
I. D. Coope and C. J. Price, On the convergence of grid-based methods for unconstrained optimization, SIAM J. Optim., 11 (2001), pp. 859-869.
-
(2001)
SIAM J. Optim.
, vol.11
, pp. 859-869
-
-
Coope, I.D.1
Price, C.J.2
-
78
-
-
0036472264
-
Positive bases in numerical optimization
-
I. D. Coope and C. J. Price, Positive bases in numerical optimization, Comput. Optim. Appl., 21 (2002), pp. 169-175.
-
(2002)
Comput. Optim. Appl.
, vol.21
, pp. 169-175
-
-
Coope, I.D.1
Price, C.J.2
-
79
-
-
4243258471
-
The simplex search in statistical optimization problems
-
Ph.D. thesis, University of Kentucky, Lexington, KY
-
R. J. Craig, The Simplex Search in Statistical Optimization Problems, Ph.D. thesis, University of Kentucky, Lexington, KY, 1980.
-
(1980)
-
-
Craig, R.J.1
-
80
-
-
85039608170
-
The simplex-search in non-linear estimation
-
Tech. Rep. 155, Department of Statistics, University of Kentucky, Lexington, KY
-
R. J. Craig, J. W. Evans, and D. M. Allen, The Simplex-Search in Non-linear Estimation, Tech. Rep. 155, Department of Statistics, University of Kentucky, Lexington, KY, 1980.
-
(1980)
-
-
Craig, R.J.1
Evans, J.W.2
Allen, D.M.3
-
81
-
-
0242524809
-
Variable-step simplex optimization procedures
-
A. P. Dambrowski, Variable-step simplex optimization procedures, Tdch. Kibern., 1 (1970), p. 33.
-
(1970)
Tdch. Kibern.
, vol.1
, pp. 33
-
-
Dambrowski, A.P.1
-
82
-
-
0003479664
-
Variable metric method for minimization
-
Tech. Rep. 5990, Argonne National Laboratory, Argonne, IL
-
W. C. Davidon, Variable Metric Method for Minimization, Tech. Rep. 5990, Argonne National Laboratory, Argonne, IL, 1959.
-
(1959)
-
-
Davidon, W.C.1
-
83
-
-
84964389892
-
Variable metric method for minimization
-
with a belated preface for ANL 5990
-
W. C. Davidon, Variable metric method for minimization, SIAM J. Optim., 1 (1991), pp. 1-17; with a belated preface for ANL 5990.
-
(1991)
SIAM J. Optim.
, vol.1
, pp. 1-17
-
-
Davidon, W.C.1
-
84
-
-
0011571413
-
Review of constrained optimization
-
R. Fletcher, ed., Academic Press, New York
-
D. Davies and W. H. Swann, Review of constrained optimization, in Optimization, R. Fletcher, ed., Academic Press, New York, 1969, pp. 187-202.
-
(1969)
Optimization
, pp. 187-202
-
-
Davies, D.1
Swann, W.H.2
-
86
-
-
0001605378
-
Theory of positive linear dependence
-
C. Davis, Theory of positive linear dependence, Amer. J. Math., 76 (1954), pp. 733-746.
-
(1954)
Amer. J. Math.
, vol.76
, pp. 733-746
-
-
Davis, C.1
-
87
-
-
0021600238
-
Stopping criteria for linesearch methods without derivatives
-
R. De Leone, M. Gaudioso, and L. Grippo, Stopping criteria for linesearch methods without derivatives, Math. Programming, 30 (1984), pp. 285-300.
-
(1984)
Math. Programming
, vol.30
, pp. 285-300
-
-
De Leone, R.1
Gaudioso, M.2
Grippo, L.3
-
88
-
-
0242598080
-
Remark on algorithm 178
-
R. De Vogelaere, Remark on algorithm 178, Comm. ACM, 11 (1968), p. 498.
-
(1968)
Comm. ACM
, vol.11
, pp. 498
-
-
De Vogelaere, R.1
-
89
-
-
0000485722
-
Simplex optimization of variables in analytical chemistry
-
S. N. Deming and S. L. Morgan, Simplex optimization of variables in analytical chemistry, Analytical Chem., 45 (1973), pp. 278A-283A.
-
(1973)
Analytical Chem.
, vol.45
-
-
Deming, S.N.1
Morgan, S.L.2
-
91
-
-
0002788638
-
Managing approximation models in optimization
-
N. M. Alexandrov and M. Y. Hussaini, eds., SIAM, Philadelphia
-
J. E. Dennis and V. Torczon, Managing approximation models in optimization, in Multidisciplinary Design Optimization: State of the Art, N. M. Alexandrov and M. Y. Hussaini, eds., SIAM, Philadelphia, 1997, pp. 330-347.
-
(1997)
Multidisciplinary Design Optimization: State of the Art
, pp. 330-347
-
-
Dennis, J.E.1
Torczon, V.2
-
92
-
-
0004041275
-
-
Prentice-Hall, Englewood Cliffs, NJ; reissued as Classics Appl. Math. 16, SIAM, Philadelphia
-
J. E. Dennis, Jr. and R. B. Schnabel, Numerical Methods for Unconstrained Optimization and Nonlinear Equations, Prentice-Hall, Englewood Cliffs, NJ, 1983; reissued as Classics Appl. Math. 16, SIAM, Philadelphia, 1996.
-
(1983)
Numerical Methods for Unconstrained Optimization and Nonlinear Equations
-
-
Dennis Jr., J.E.1
Schnabel, R.B.2
-
93
-
-
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 Jr., J.E.1
Torczon, V.2
-
94
-
-
0001150912
-
Optimization on microcomputers: The Nelder-Mead simplex algorithm
-
A. Wouk, ed., SIAM, Philadelphia
-
J. E. Dennis, Jr. 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 Jr., J.E.1
Woods, D.J.2
-
95
-
-
0015573121
-
ACSIM - An accelerated constrained simplex technique
-
L. C. W. Dixon, ACSIM - An accelerated constrained simplex technique, Comput. Aided Design, 5 (1973), pp. 22-32.
-
(1973)
Comput. Aided Design
, vol.5
, pp. 22-32
-
-
Dixon, L.C.W.1
-
96
-
-
85039610951
-
Directsearch classes
-
E. Dolan, A. Gurson, A. Shepherd, C. Sieffert, V. Torczon, and A. Yates, DirectSearch classes; software available at http://www.cs.wm.edu/~va/software/DirectSearch.
-
-
-
Dolan, E.1
Gurson, A.2
Shepherd, A.3
Sieffert, C.4
Torczon, V.5
Yates, A.6
-
97
-
-
0008722166
-
Pattern search behavior in nonlinear optimization
-
Honors Thesis, Department of Computer Science, College of William & Mary, Williamsburg, VA
-
E. D. Dolan, Pattern Search Behavior in Nonlinear Optimization, Honors Thesis, Department of Computer Science, College of William & Mary, Williamsburg, VA, 1999.
-
(1999)
-
-
Dolan, E.D.1
-
99
-
-
0000689228
-
Global and asymptotic convergence rate estimates for a class of projected gradient processes
-
J. C. Dunn, Global and asymptotic convergence rate estimates for a class of projected gradient processes, SIAM J. Control Optim., 19 (1981), pp. 368-400.
-
(1981)
SIAM J. Control Optim.
, vol.19
, pp. 368-400
-
-
Dunn, J.C.1
-
100
-
-
21844492639
-
A grid algorithm for bound constrained optimization of noisy functions
-
C. Elster and A. Neumaier, A grid algorithm for bound constrained optimization of noisy functions, IMA J. Numer. Anal., 15 (1995), pp. 585-608.
-
(1995)
IMA J. Numer. Anal.
, vol.15
, pp. 585-608
-
-
Elster, C.1
Neumaier, A.2
-
101
-
-
0242681908
-
Design principles and properties of locally optimal simplicial direct-search procedures
-
S. V. Emel'yanov, S. K. Korovin, and A. S. Rykov, Design principles and properties of locally optimal simplicial direct-search procedures, Soviet Phys. Dokl., 24 (1979), pp. 532-534.
-
(1979)
Soviet Phys. Dokl.
, vol.24
, pp. 532-534
-
-
Emel'yanov, S.V.1
Korovin, S.K.2
Rykov, A.S.3
-
102
-
-
0242681907
-
Optimal design of matching networks for microwave transistor amplifiers
-
F. E. Emery and M. O'Hagan, Optimal design of matching networks for microwave transistor amplifiers, IEEE Trans. Microwave Theory Tech., 14 (1966), pp. 696-698.
-
(1966)
IEEE Trans. Microwave Theory Tech.
, vol.14
, pp. 696-698
-
-
Emery, F.E.1
O'Hagan, M.2
-
103
-
-
0012150953
-
Computer augmentation of experimental designs to maximize |X′X|
-
J. W. Evans, Computer augmentation of experimental designs to maximize |X'X|, Technometrics, 21 (1979), pp. 321-330.
-
(1979)
Technometrics
, vol.21
, pp. 321-330
-
-
Evans, J.W.1
-
104
-
-
0001250693
-
General method of multiparameter fitting of high-resolution EPR-spectra using a simplex algorithm
-
P. G. Fajer, R. L. H. Bennett, C. F. Polnaszek, E. A. Fajer, and D. D. Thomas, General method of multiparameter fitting of high-resolution EPR-spectra using a simplex algorithm, J. Magnetic Resonance, 88 (1990), pp. 111-125.
-
(1990)
J. Magnetic Resonance
, vol.88
, pp. 111-125
-
-
Fajer, P.G.1
Bennett, R.L.H.2
Polnaszek, C.F.3
Fajer, E.A.4
Thomas, D.D.5
-
105
-
-
0013031570
-
Los Alamos unclassified report LS-1492
-
tech. rep., Los Alamos National Laboratory, Los Alamos, NM
-
E. Fermi and N. Metropolis, Los Alamos Unclassified Report LS-1492, tech. rep., Los Alamos National Laboratory, Los Alamos, NM, 1952.
-
(1952)
-
-
Fermi, E.1
Metropolis, N.2
-
106
-
-
0003451149
-
-
Wiley, New York; reissued as Classics Appl. Math. 4, SIAM, Philadelphia, 1990
-
A. V. Fiacco and G. P. McCormick, Nonlinear Programming: Sequential Unconstrained Minimization Techniques, Wiley, New York, 1968; reissued as Classics Appl. Math. 4, SIAM, Philadelphia, 1990.
-
(1968)
Nonlinear Programming: Sequential Unconstrained Minimization Techniques
-
-
Fiacco, A.V.1
McCormick, G.P.2
-
107
-
-
0001838788
-
Function minimization without evaluating derivatives-A review
-
R. Fletcher, Function minimization without evaluating derivatives - A review, Comput. J., 8 (1995), pp. 33-41.
-
(1965)
Comput. J.
, vol.8
, pp. 33-41
-
-
Fletcher, R.1
-
108
-
-
0001556338
-
Nonlinear programming without a penalty function
-
R. Fletcher and S. Leyffer, Nonlinear programming without a penalty function, Math. Programming, Ser. A, 91 (2002), pp. 239-269.
-
(2002)
Math. Programming, Ser. A
, vol.91
, pp. 239-269
-
-
Fletcher, R.1
Leyffer, S.2
-
109
-
-
0037288670
-
On the global convergence of a filter-SQP algorithm
-
R. Fletcher, S. Leyffer, and P. L. Toint, On the global convergence of a filter-SQP algorithm, SIAM J. Optim., 13 (2002), pp. 44-59.
-
(2002)
SIAM J. Optim.
, vol.13
, pp. 44-59
-
-
Fletcher, R.1
Leyffer, S.2
Toint, P.L.3
-
110
-
-
0000387235
-
A rapidly convergent descent method for minimization
-
R. Fletcher and M. J. D. Powell, A rapidly convergent descent method for minimization, Comput. J., 6 (1963), pp. 163-168.
-
(1963)
Comput. J.
, vol.6
, pp. 163-168
-
-
Fletcher, R.1
Powell, M.J.D.2
-
111
-
-
0003404231
-
-
Thomson/Brooks/Cole, Pacific Grove, CA
-
R. Fourer, D. M. Gay, and B. W. Kernighan, AMPL: A Modeling Language for Mathematical Programming, 2nd ed., Thomson/Brooks/Cole, Pacific Grove, CA, 2003.
-
(2003)
AMPL: A Modeling Language for Mathematical Programming, 2nd Ed.
-
-
Fourer, R.1
Gay, D.M.2
Kernighan, B.W.3
-
112
-
-
0242598087
-
-
Private communication, Department of Experimental and Clinical Audiology, Academic Medical Centre, Amsterdam
-
B. Franck, Private communication, Department of Experimental and Clinical Audiology, Academic Medical Centre, Amsterdam, 2002.
-
(2002)
-
-
Franck, B.1
-
114
-
-
0035446066
-
A locally-biased form of the DIRECT algorithm
-
J. Gablonsky and C. T. Kelley, A locally-biased form of the DIRECT algorithm, J. Global Optim., 21 (2001), pp. 27-37.
-
(2001)
J. Global Optim.
, vol.21
, pp. 27-37
-
-
Gablonsky, J.1
Kelley, C.T.2
-
115
-
-
0037289130
-
New sequential and parallel derivative-free algorithms for unconstrained minimization
-
U. M. García-Palomares and J. F. Rodríguez, New sequential and parallel derivative-free algorithms for unconstrained minimization, SIAM J. Optim., 13 (2002), pp. 79-96.
-
(2002)
SIAM J. Optim.
, vol.13
, pp. 79-96
-
-
García-Palomares, U.M.1
Rodríguez, J.F.2
-
116
-
-
84894307595
-
Second-order information in the adaptive search exploration algorithm
-
AIAA Paper 2000-4765
-
U. M. García-Palomares and J. F. Rodríguez, Second-order information in the adaptive search exploration algorithm, in Proceedings of the 8th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, Long Beach, CA, 2000, AIAA Paper 2000-4765.
-
Proceedings of the 8th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, Long Beach, CA, 2000
-
-
García-Palomares, U.M.1
Rodríguez, J.F.2
-
117
-
-
0004240547
-
-
Academic Press, London
-
P. E. Gill, W. Murray, and M. H. Wright, Practical Optimization, Academic Press, London, 1981.
-
(1981)
Practical Optimization
-
-
Gill, P.E.1
Murray, W.2
Wright, M.H.3
-
118
-
-
84874401713
-
-
P. Gilmore, T. Choi, O. Eslinger, C. T. Kelley, H. A. Patrick, and J. Gablonsky, IFFCO (Implicit Filtering For Constrained Optimization); software available at http://www4.ncsu.edu/~ctk/iffco.html.
-
IFFCO (Implicit Filtering for Constrained Optimization)
-
-
Gilmore, P.1
Choi, T.2
Eslinger, O.3
Kelley, C.T.4
Patrick, H.A.5
Gablonsky, J.6
-
119
-
-
0001153894
-
An implicit filtering algorithm for optimization of functions with many local minima
-
P. Gilmore and C. T. Kelley, An implicit filtering algorithm for optimization of functions with many local minima, SIAM J. Optim., 5 (1995), pp. 269-285.
-
(1995)
SIAM J. Optim.
, vol.5
, pp. 269-285
-
-
Gilmore, P.1
Kelley, C.T.2
-
120
-
-
0002034741
-
Implicit filtering and optimal design problems
-
in Optimal Design and Control, J. Borggaard, J.Burkhardt, M. Gunzberger, and J. Peterson, eds.; Birkhäuser, Cambridge, MA
-
P. Gilmore, C. T. Kelly, C. T. Miller, and G. A. Williams, Implicit filtering and optimal design problems, in Optimal Design and Control, J. Borggaard, J.Burkhardt, M. Gunzberger, and J. Peterson, eds., Progr. Systems Control Theory 19, Birkhäuser, Cambridge, MA, 1995, pp. 159-176.
-
(1995)
Progr. Systems Control Theory
, vol.19
, pp. 159-176
-
-
Gilmore, P.1
Kelly, C.T.2
Miller, C.T.3
Williams, G.A.4
-
121
-
-
0001058259
-
Optimization of functions whose values are subject to small errors
-
T. Glad and A. Goldstein, Optimization of functions whose values are subject to small errors, BIT, 17 (1977), pp. 160-169.
-
(1977)
BIT
, vol.17
, pp. 160-169
-
-
Glad, T.1
Goldstein, A.2
-
122
-
-
0011691468
-
Sequential search: A method for solving constrained optimization problems
-
H. Glass and L. Cooper, Sequential search: A method for solving constrained optimization problems, J. ACM, 12 (1965), pp. 71-82.
-
(1965)
J. ACM
, vol.12
, pp. 71-82
-
-
Glass, H.1
Cooper, L.2
-
124
-
-
0011564325
-
On the simulation and control of some friction constrained motions
-
R. Glowinski and A. J. Kearsley, On the simulation and control of some friction constrained motions, SIAM J. Optim., 5 (1995), pp. 681-694.
-
(1995)
SIAM J. Optim.
, vol.5
, pp. 681-694
-
-
Glowinski, R.1
Kearsley, A.J.2
-
126
-
-
0003086453
-
On automatic differentiation
-
M. Iri and K. Tanabe, eds., Kluwer Academic, Dordrecht, The Netherlands
-
A. O. Griewank, On automatic differentiation, in Mathematical Programming: Recent Developments and Applications, M. Iri and K. Tanabe, eds., Kluwer Academic, Dordrecht, The Netherlands, 1989, pp. 83-108.
-
(1989)
Mathematical Programming: Recent Developments and Applications
, pp. 83-108
-
-
Griewank, A.O.1
-
127
-
-
0023982395
-
Global convergence and stabilization of unconstrained minimization methods without derivatives
-
L. Grippo, F. Lampariello, and S. Lucidi, Global convergence and stabilization of unconstrained minimization methods without derivatives, J. Optim. Theory Appl., 56 (1988), pp. 385-406.
-
(1988)
J. Optim. Theory Appl.
, vol.56
, pp. 385-406
-
-
Grippo, L.1
Lampariello, F.2
Lucidi, S.3
-
128
-
-
0001267008
-
Discussion and correspondence - Modification of the complex method of constrained optima
-
J. A. Guin, Discussion and correspondence - modification of the complex method of constrained optima, Comput. J., 10 (1968), pp. 416-417.
-
(1968)
Comput. J.
, vol.10
, pp. 416-417
-
-
Guin, J.A.1
-
129
-
-
0242681917
-
Simplex search behavior in nonlinear optimization
-
Honors Thesis, Department of Computer Science, College of William & Mary, Williamsburg, VA
-
A. P. Gurson, Simplex Search Behavior in Nonlinear Optimization, Honors Thesis, Department of Computer Science, College of William & Mary, Williamsburg, VA, 2000.
-
(2000)
-
-
Gurson, A.P.1
-
130
-
-
0242429952
-
Design and optimization of modified simplex methods
-
A. Gustavsson and J.-E. Sundkvist, Design and optimization of modified simplex methods, Analytica Chimica Acta, 167 (1985), pp. 1-10.
-
(1985)
Analytica Chimica Acta
, vol.167
, pp. 1-10
-
-
Gustavsson, A.1
Sundkvist, J.-E.2
-
131
-
-
4243745647
-
Evolutionary pattern search algorithms
-
Tech. Rep. SAND95-2293, Sandia National Laboratories, Albuquerque, NM
-
W. E. Hart, Evolutionary Pattern Search Algorithms, Tech. Rep. SAND95-2293, Sandia National Laboratories, Albuquerque, NM, 1995.
-
(1995)
-
-
Hart, W.E.1
-
132
-
-
0242598090
-
A stationary point convergence theory for evolutionary algorithms
-
Morgan Kaufmann, San Franscisco, CA
-
W. E. Hart, A stationary point convergence theory for evolutionary algorithms, in Foundations of Genetic Algorithms 4, Morgan Kaufmann, San Franscisco, CA, 1996, pp. 325-342.
-
(1996)
Foundations of Genetic Algorithms
, vol.4
, pp. 325-342
-
-
Hart, W.E.1
-
133
-
-
2342608642
-
A generalized stationary point convergence theory for evolutionary algorithms
-
W. E. Hart, A generalized stationary point convergence theory for evolutionary algorithms, in Proceedings of the International Conference on Genetic Algorithms, Morgan Kaufmann, San Francisco, CA, 1997, pp. 127-134.
-
Proceedings of the International Conference on Genetic Algorithms, Morgan Kaufmann, San Francisco, CA, 1997
, pp. 127-134
-
-
Hart, W.E.1
-
134
-
-
0026506849
-
Design and evaluation of modified simplex methods having enhanced convergence ability
-
P. Hedlund and A. Gustavsson, Design and evaluation of modified simplex methods having enhanced convergence ability, Analytica Chimica Acta, 259 (1992), pp. 243-256.
-
(1992)
Analytica Chimica Acta
, vol.259
, pp. 243-256
-
-
Hedlund, P.1
Gustavsson, A.2
-
135
-
-
0014604308
-
Multiplier and gradient methods
-
M. R. Hestenes, Multiplier and gradient methods, J. Optim. Theory Appl., 4 (1969), pp. 303-320.
-
(1969)
J. Optim. Theory Appl.
, vol.4
, pp. 303-320
-
-
Hestenes, M.R.1
-
136
-
-
0242429955
-
Remark AS R28. A remark on algorithm AS 47: Function minimization using a simplex procedure
-
I. D. Hill, Remark AS R28. A remark on algorithm AS 47: Function minimization using a simplex procedure, Appl. Statist., 27 (1978), pp. 380-382.
-
(1978)
Appl. Statist.
, vol.27
, pp. 380-382
-
-
Hill, I.D.1
-
139
-
-
84938447945
-
Direct search solution of numerical and statistical problems
-
R. Hooke and T. A. Jeeves, Direct search solution of numerical and statistical problems, J. ACM, 8 (1961), pp. 212-229.
-
(1961)
J. ACM
, vol.8
, pp. 212-229
-
-
Hooke, R.1
Jeeves, T.A.2
-
140
-
-
0036207607
-
Asynchronous parallel pattern search for nonlinear optimization
-
R. 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, R.1
Kolda, T.G.2
Torczon, V.J.3
-
141
-
-
0037289521
-
A class of trust-region methods for parallel optimization
-
P. D. Hough and J. C. Meza, A class of trust-region methods for parallel optimization, SIAM J. Optim., 13 (2002), pp. 264-282.
-
(2002)
SIAM J. Optim.
, vol.13
, pp. 264-282
-
-
Hough, P.D.1
Meza, J.C.2
-
142
-
-
0021372095
-
Pseudo-conjugate directions for the solution of the nonlinear unconstrained optimization problem on a parallel computer
-
E C. Housos and O. Wing, Pseudo-conjugate directions for the solution of the nonlinear unconstrained optimization problem on a parallel computer, J. Optim. Theory Appl., 42 (1984).
-
(1984)
J. Optim. Theory Appl.
, vol.42
-
-
Housos, E.C.1
Wing, O.2
-
143
-
-
85039608460
-
Automatic differentiation and its role in simulation-based optimization
-
P. Hovland, Automatic Differentiation and Its Role in Simulation-Based Optimization, IMA Workshop, Minneapolis, MN, 2003.
-
IMA Workshop, Minneapolis, MN, 2003
-
-
Hovland, P.1
-
144
-
-
0242598097
-
Practical example of simplex-planning for seeking the optimal regimes of technological processes
-
F. Y. Izakov, Practical example of simplex-planning for seeking the optimal regimes of technological processes, Industrial Laboratory, 37 (1971), pp. 420-422.
-
(1971)
Industrial Laboratory
, vol.37
, pp. 420-422
-
-
Izakov, F.Y.1
-
145
-
-
0000130416
-
MINUIT-A system for function minimization and analysis of the parameter errors and correlations
-
F. James and M. Roos, MINUIT - A system for function minimization and analysis of the parameter errors and correlations, Comput. Phys. Comm., 10 (1975), pp. 343-367.
-
(1975)
Comput. Phys. Comm.
, vol.10
, pp. 343-367
-
-
James, F.1
Roos, M.2
-
146
-
-
79953053389
-
Nonlinear optimization using the algorithm of Hooke and Jeeves
-
M. G. Johnson, Nonlinear optimization using the algorithm of Hooke and Jeeves; software available in the Netlib Repository at http://www.netlib.org/hooke.c, 1994.
-
(1994)
-
-
Johnson, M.G.1
-
147
-
-
0014825883
-
Spiral-A new algorithm for non-linear parameter estimation using least squares
-
A. Jones, Spiral - A new algorithm for non-linear parameter estimation using least squares, Comput. J., 13 (1970), pp. 301-308.
-
(1970)
Comput. J.
, vol.13
, pp. 301-308
-
-
Jones, A.1
-
148
-
-
0027678534
-
Lipschitzian optimization without the Lipschitz constant
-
D. R. Jones, C. D. Perttunen, and B. E. Stuckman, Lipschitzian optimization without the Lipschitz constant, J. Optim. Theory Appl., 79 (1993), pp. 15-181.
-
(1993)
J. Optim. Theory Appl.
, vol.79
, pp. 157-181
-
-
Jones, D.R.1
Perttunen, C.D.2
Stuckman, B.E.3
-
149
-
-
84945709663
-
Algorithm 178: Direct search
-
A. F. Kaupe Jr., Algorithm 178: Direct search, Comm. ACM, 6 (1963), pp. 313-314.
-
(1963)
Comm. ACM
, vol.6
, pp. 313-314
-
-
Kaupe Jr., A.F.1
-
150
-
-
4644244915
-
OPTIONS design exploration system
-
Computational Engineering and Design Centre, School of Engineering Sciences, Mechanical Engineering, University of Southampton, Highfield, Southampton, UK
-
A. J. Keane, OPTIONS design exploration system, Computational Engineering and Design Centre, School of Engineering Sciences, Mechanical Engineering, University of Southampton, Highfield, Southampton, UK; software available at http://www.soton.ac.uk/~ajk/options/welcome.html
-
-
-
Keane, A.J.1
-
151
-
-
0004079984
-
The use of optimization techniques in the solution of partial differential equations from science and engineering
-
Ph.D. thesis, Department of Computational and Applied Mathematics, Rice University, Houston, TX; available as Tech. Rep. 96-11, Department of Computational and Applied Mathematics, Rice University, Houston, TX, 1996
-
A. J. Kearsley, The Use of Optimization Techniques in the Solution of Partial Differential Equations from Science and Engineering, Ph.D. thesis, Department of Computational and Applied Mathematics, Rice University, Houston, TX, 1996; available as Tech. Rep. 96-11, Department of Computational and Applied Mathematics, Rice University, Houston, TX, 1996.
-
(1996)
-
-
Kearsley, A.J.1
-
153
-
-
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
-
154
-
-
0003267930
-
Iterative methods for optimization
-
SIAM, Philadelphia
-
C. T. Kelley, Iterative Methods for Optimization, Frontiers Appl. Math. 18, SIAM, Philadelphia, 1999.
-
(1999)
Frontiers Appl. Math.
, vol.18
-
-
Kelley, C.T.1
-
155
-
-
0000835342
-
Optimum sequential search and approximation methods under minimum regularity assumptions
-
J. Kiefer, Optimum sequential search and approximation methods under minimum regularity assumptions, J. Soc. Indust. Appl. Math., 5 (1957), pp. 105-136.
-
(1957)
J. Soc. Indust. Appl. Math.
, vol.5
, pp. 105-136
-
-
Kiefer, J.1
-
156
-
-
0242513459
-
UNIPLEX: Single-factor optimization of response in the presence of error
-
P. G. King and S. N. Deming, UNIPLEX: Single-factor optimization of response in the presence of error, Analytical Chem., 46 (1974), pp. 1476-1481.
-
(1974)
Analytical Chem.
, vol.46
, pp. 1476-1481
-
-
King, P.G.1
Deming, S.N.2
-
157
-
-
0001053846
-
Nonlinear programming with the aid of a multiple-gradient summation technique
-
W. R. Klingman and D. M. Himmelblau, Nonlinear programming with the aid of a multiple-gradient summation technique, J. ACM, 11 (1964), pp. 400-415.
-
(1964)
J. ACM
, vol.11
, pp. 400-415
-
-
Klingman, W.R.1
Himmelblau, D.M.2
-
158
-
-
0012031544
-
Mixed variable optimization of the number and composition of heat intercepts in a thermal insulation system
-
M. Kokkolaras, C. Audet, and J. E. Dennis, Jr., Mixed variable optimization of the number and composition of heat intercepts in a thermal insulation system, Optim. and Engrg., 2 (2001), pp. 5-29.
-
(2001)
Optim. and Engrg.
, vol.2
, pp. 5-29
-
-
Kokkolaras, M.1
Audet, C.2
Dennis Jr., J.E.3
-
159
-
-
85039629110
-
APPSPACK (Asynchronous parallel pattern search package)
-
G. Kolda, P. D. Hough, G. Gray, S. Brown, D. Dunlavy, and H. A. Patrick, APPSPACK (Asynchronous Parallel Pattern Search package); software available at http://software.sandia.gov/appspack.
-
-
-
Kolda, G.1
Hough, P.D.2
Gray, G.3
Brown, S.4
Dunlavy, D.5
Patrick, H.A.6
-
160
-
-
25344455726
-
Stationarity results for generating set search for linearly constrained optimization
-
in preparation
-
T. G. Kolda, R. M. Lewis, and V. J. Torczon, Stationarity results for generating set search for linearly constrained optimization, in preparation, 2003.
-
(2003)
-
-
Kolda, T.G.1
Lewis, R.M.2
Torczon, V.J.3
-
161
-
-
85039622086
-
On the convergence of asynchronous parallel pattern search
-
Tech. Rep. SAND2001-8696, Sandia National Laboratories, Livermore, CA
-
T. G. Kolda and V. J. Torczon, On the Convergence of Asynchronous Parallel Pattern Search, Tech. Rep. SAND2001-8696, Sandia National Laboratories, Livermore, CA, 2002
-
(2002)
-
-
Kolda, T.G.1
Torczon, V.J.2
-
162
-
-
85039621206
-
-
submitted
-
SIAM J. Optim., submitted.
-
SIAM J Optim
-
-
-
163
-
-
0242513465
-
Understanding asynchronous parallel pattern search
-
G. DiPillo and A. Murli, eds., Kluwer Academic, Dordrecht, The Netherlands
-
T. G. Kolda and V. J. Torczon, Understanding asynchronous parallel pattern search, in High Performance Algorithms and Software for Nonlinear Optimization, G. DiPillo and A. Murli, eds., Kluwer Academic, Dordrecht, The Netherlands, 2003, pp. 316-335.
-
(2003)
High Performance Algorithms and Software for Nonlinear Optimization
, pp. 316-335
-
-
Kolda, T.G.1
Torczon, V.J.2
-
164
-
-
0242513463
-
An extension of fibonaccian search to several variables
-
P. Krolak and L. Cooper, An extension of Fibonaccian search to several variables, Comm. ACM, 6 (1963), pp. 639-641.
-
(1963)
Comm. ACM
, vol.6
, pp. 639-641
-
-
Krolak, P.1
Cooper, L.2
-
165
-
-
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
-
166
-
-
84942218141
-
An adaptive randomized pattern search
-
J. P. Lawrence III and F. P. Emad, An adaptive randomized pattern search, in Proceedings of 1972 IEEE Conference on Decision Control and 11th Symposium on Adaptive Processes, New Orleans, 1972, pp. 421-425.
-
Proceedings of 1972 IEEE Conference on Decision Control and 11th Symposium on Adaptive Processes, New Orleans, 1972
, pp. 421-425
-
-
Lawrence III, J.P.1
Emad, F.P.2
-
167
-
-
0003686336
-
Rank ordering and positive bases in pattern search algorithms
-
Tech. Rep. 96-71, Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, Hampton, VA
-
R. M. Lewis and V. Torczon, Rank Ordering and Positive Bases in Pattern Search Algorithms, Tech. Rep. 96-71, Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, Hampton, VA, 1996.
-
(1996)
-
-
Lewis, R.M.1
Torczon, V.2
-
168
-
-
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
-
169
-
-
0034412352
-
Pattern search methods for linearly constrained minimization
-
R. M. Lewis and V. Torczon, Pattern search methods for linearly constrained minimization, SIAM J. Optim., 10 (2000), pp. 917-941.
-
(2000)
SIAM J. Optim.
, vol.10
, pp. 917-941
-
-
Lewis, R.M.1
Torczon, V.2
-
170
-
-
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
-
171
-
-
0002302386
-
Why pattern search works
-
also available as ICASE Tech. Rep. 98-57, Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, Hampton, VA, 1998
-
R. M. Lewis, V. Torczon, and M. W. Trosset, Why pattern search works, Optima, 59 (1998), pp. 1-7; also available as ICASE Tech. Rep. 98-57, Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, Hampton, VA, 1998.
-
(1998)
Optima
, vol.59
, pp. 1-7
-
-
Lewis, R.M.1
Torczon, V.2
Trosset, M.W.3
-
172
-
-
0034545694
-
Direct search methods: Then and now
-
R. M. Lewis, V. Torczon, and M. W. Trosset, Direct search methods: Then and now, J. Comput. Appl. Math., 124 (2000), pp. 191-207.
-
(2000)
J. Comput. Appl. Math.
, vol.124
, pp. 191-207
-
-
Lewis, R.M.1
Torczon, V.2
Trosset, M.W.3
-
173
-
-
0013532426
-
Numerical results for unconstrained optimization without derivatives
-
G. Di Pillo and F. Giannessi, eds., Kluwer Academic/Plenum Publishers, New York
-
S. Lucidi and M. Sciandrone, Numerical results for unconstrained optimization without derivatives, in Nonlinear Optimization and Applications, G. Di Pillo and F. Giannessi, eds., Kluwer Academic/Plenum Publishers, New York, 1996, pp. 261-270.
-
(1996)
Nonlinear Optimization and Applications
, pp. 261-270
-
-
Lucidi, S.1
Sciandrone, M.2
-
174
-
-
0036471915
-
A derivative-free algorithm for bound constrained optimization
-
S. Lucidi and M. Sciandrone, A derivative-free algorithm for bound constrained optimization, Comput. Optim. Appl., 21 (2002), pp. 119-142.
-
(2002)
Comput. Optim. Appl.
, vol.21
, pp. 119-142
-
-
Lucidi, S.1
Sciandrone, M.2
-
175
-
-
0037289078
-
On the global convergence of derivative-free methods for unconstrained optimization
-
S. Lucidi and M. Sciandrone, On the global convergence of derivative-free methods for unconstrained optimization, SIAM J. Optim., 13 (2002), pp. 97-116.
-
(2002)
SIAM J. Optim.
, vol.13
, pp. 97-116
-
-
Lucidi, S.1
Sciandrone, M.2
-
176
-
-
0242598302
-
Objective-derivative-free methods for constrained optimization
-
S. Lucidi, M. Sciandrone, and P. Tseng, Objective-derivative-free methods for constrained optimization, Math. Program., 92 (2002), pp. 37-59.
-
(2002)
Math. Program.
, vol.92
, pp. 37-59
-
-
Lucidi, S.1
Sciandrone, M.2
Tseng, P.3
-
177
-
-
0015650865
-
Optimization by direct search and systematic reduction of the size of the search region
-
R. Luus and T. H. I. Jaakola, Optimization by direct search and systematic reduction of the size of the search region, AIChE J., 19 (1973), pp. 760-766.
-
(1973)
AIChE J.
, vol.19
, pp. 760-766
-
-
Luus, R.1
Jaakola, T.H.I.2
-
178
-
-
0013238081
-
Wedge trust region methods for derivative free optimization
-
M. Marazzi and J. Nocedal, Wedge trust region methods for derivative free optimization, Math. Program., 91 (2002), pp. 289-305.
-
(2002)
Math. Program.
, vol.91
, pp. 289-305
-
-
Marazzi, M.1
Nocedal, J.2
-
179
-
-
0011565254
-
Linearly constrained nonlinear programming: A solution method that does not require analytic derivatives
-
Ph.D. thesis, Yale University, New Haven, CT
-
J. H. May, Linearly Constrained Nonlinear Programming: A Solution Method That Does Not Require Analytic Derivatives, Ph.D. thesis, Yale University, New Haven, CT, 1974.
-
(1974)
-
-
May, J.H.1
-
180
-
-
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
-
181
-
-
0001686231
-
A comparison of a direct search method and a genetic algorithm for conformational searching
-
J. C. Meza, R. S. Judson, T. R. Faulkner, and A. M. Treasurywala, A comparison of a direct search method and a genetic algorithm for conformational searching, J. Comput. Chem., 17 (1996), pp. 1142-1151.
-
(1996)
J. Comput. Chem.
, vol.17
, pp. 1142-1151
-
-
Meza, J.C.1
Judson, R.S.2
Faulkner, T.R.3
Treasurywala, A.M.4
-
182
-
-
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
-
183
-
-
0024608644
-
A bracketing technique to ensure desirable convergence in univariate minimization
-
R. Mifflin and J.-J. Strodiot, A bracketing technique to ensure desirable convergence in univariate minimization, Math. Programming, 43 (1989), pp. 117-130.
-
(1989)
Math. Programming
, vol.43
, pp. 117-130
-
-
Mifflin, R.1
Strodiot, J.-J.2
-
184
-
-
0027699499
-
A rapidly convergent five-point algorithm for univariate minimization
-
R. Mifflin and J.-J. Strodiot, A rapidly convergent five-point algorithm for univariate minimization, Math. Programming, 62 (1993), pp. 299-319.
-
(1993)
Math. Programming
, vol.62
, pp. 299-319
-
-
Mifflin, R.1
Strodiot, J.-J.2
-
185
-
-
0242682195
-
Nonlinear constrained optimization by a nonrandom complex method
-
R. A. Mitchell and J. L. Kaplan, Nonlinear constrained optimization by a nonrandom complex method, J. Res. Nat. Bur. Standards, 72C (1968), pp. 249-258.
-
(1968)
J. Res. Nat. Bur. Standards
, vol.72 C
, pp. 249-258
-
-
Mitchell, R.A.1
Kaplan, J.L.2
-
186
-
-
84976845336
-
Testing unconstrained optimization software
-
J. J. Moré, B. S. Garbow, and K. E. Hillstrom, Testing unconstrained optimization software, ACM Trans. Math. Software, 7 (1981), pp. 17-41.
-
(1981)
ACM Trans. Math. Software
, vol.7
, pp. 17-41
-
-
Moré, J.J.1
Garbow, B.S.2
Hillstrom, K.E.3
-
187
-
-
0001650577
-
Décomposition orthgonale d'un espace hilbertien selon deux cônes mutuellement polaires
-
J. J. Moreau, Décomposition orthgonale d'un espace hilbertien selon deux cônes mutuellement polaires, C. R. Acad. Sci. Paris, 255 (1962), pp. 238-240.
-
(1962)
C. R. Acad. Sci. Paris
, vol.255
, pp. 238-240
-
-
Moreau, J.J.1
-
188
-
-
0025058251
-
Optimization using the modified simplex method
-
E. Morgan, K. W. Burton and G. Nickless, Optimization using the modified simplex method, Chemometrics and Intelligent Laboratory Systems, 7 (1990), pp. 209-222.
-
(1990)
Chemometrics and Intelligent Laboratory Systems
, vol.7
, pp. 209-222
-
-
Morgan, E.1
Burton, K.W.2
Nickless, G.3
-
189
-
-
0025335388
-
Optimization using the super-modified simplex method
-
E. Morgan, K. W. Burton, and G. Nickless, Optimization using the super-modified simplex method, Chemometrics and Intelligent Laboratory Systems, 8 (1990), pp. 97-107.
-
(1990)
Chemometrics and Intelligent Laboratory Systems
, vol.8
, pp. 97-107
-
-
Morgan, E.1
Burton, K.W.2
Nickless, G.3
-
190
-
-
33847805632
-
Simplex optimization of analytical chemical methods
-
S. L. Morgan and S. N. Deming, Simplex optimization of analytical chemical methods, Analytical Chem., 46 (1974), pp. 1170-1181.
-
(1974)
Analytical Chem.
, vol.46
, pp. 1170-1181
-
-
Morgan, S.L.1
Deming, S.N.2
-
191
-
-
0242513656
-
A program for optimal control of nonlinear processes
-
R. A. Mugele, A program for optimal control of nonlinear processes, IBM Systems J., 1 (1962), pp. 2-17.
-
(1962)
IBM Systems J.
, vol.1
, pp. 2-17
-
-
Mugele, R.A.1
-
192
-
-
85039614885
-
-
Grabitech Solutions AB, Sundsvall, Sweden
-
Multisimplex™ 2.0. Grabitech Solutions AB, Sundsvall, Sweden; software available at http://www.multisimplex.com, 2000.
-
(2000)
Multisimplex™ 2.0
-
-
-
194
-
-
0036539932
-
Gilding the lily: A variant of the Nelder-Mead algorithm based on golden-section search
-
L. Nazareth and P. Tseng, Gilding the lily: A variant of the Nelder-Mead algorithm based on golden-section search, Comput. Optim. Appl., 22 (2002), pp. 133-144.
-
(2002)
Comput. Optim. Appl.
, vol.22
, pp. 133-144
-
-
Nazareth, L.1
Tseng, P.2
-
195
-
-
0000238336
-
A simplex method for function minimization
-
J. A. Nelder and R. Mead, A simplex method for function minimization, Comput. J., 7 (1965), pp. 308-313.
-
(1965)
Comput. J.
, vol.7
, pp. 308-313
-
-
Nelder, J.A.1
Mead, R.2
-
196
-
-
84952108172
-
A sequential simplex procedure for non-linear least-squares estimation and other function minimization problems
-
L. S. Nelson, A sequential simplex procedure for non-linear least-squares estimation and other function minimization problems, in ASQC Technical Conference Transactions - Cleveland, 1972, American Society for Quality Control, Milwaukee, WI, 107-117.
-
ASQC Technical Conference Transactions - Cleveland, 1972, American Society for Quality Control, Milwaukee, WI
, pp. 107-117
-
-
Nelson, L.S.1
-
197
-
-
84972047841
-
Theory of algorithms for unconstrained optimization
-
J. Nocedal, Theory of algorithms for unconstrained optimization, Acta Numer., 1 (1992), pp. 199-242.
-
(1992)
Acta Numer.
, vol.1
, pp. 199-242
-
-
Nocedal, J.1
-
199
-
-
0032517863
-
Importance of the first design matrix in experimental simplex optimization
-
T. Öberg, Importance of the first design matrix in experimental simplex optimization, Chemometrics and Intelligent Laboratory Systems, 44 (1998), pp. 147-151.
-
(1998)
Chemometrics and Intelligent Laboratory Systems
, vol.44
, pp. 147-151
-
-
Öberg, T.1
-
200
-
-
0016473731
-
The Nelder-Mead simplex procedure for function minimization
-
D. M. Olsson and L. S. Nelson, The Nelder-Mead simplex procedure for function minimization, Technometrics, 17 (1975), pp. 45-51.
-
(1975)
Technometrics
, vol.17
, pp. 45-51
-
-
Olsson, D.M.1
Nelson, L.S.2
-
201
-
-
0000846686
-
Algorithm AS 47. Function minimization using a simplex procedure
-
R. O'Neill, Algorithm AS 47. Function minimization using a simplex procedure, Appl. Statist., 20 (1971), pp. 338-345.
-
(1971)
Appl. Statist.
, vol.20
, pp. 338-345
-
-
O'Neill, R.1
-
202
-
-
0242430234
-
Corrigendum. Algorithm AS 47. Function minimization using a simplex procedure
-
R. O'Neill, Corrigendum. Algorithm AS 47. Function minimization using a simplex procedure, Appl. Statist., 23 (1974), p. 252.
-
(1974)
Appl. Statist.
, vol.23
, pp. 252
-
-
O'Neill, R.1
-
203
-
-
0003602606
-
-
Academic Press, New York; reissued as Classics Appl. Math. 30, SIAM, Philadelphia, 2000
-
J. M. Ortega and W. C. Rheinboldt, Iterative Solution of Nonlinear Equations in Several Variables, Academic Press, New York, 1970; reissued as Classics Appl. Math. 30, SIAM, Philadelphia, 2000.
-
(1970)
Iterative Solution of Nonlinear Equations in Several Variables
-
-
Ortega, J.M.1
Rheinboldt, W.C.2
-
204
-
-
0242513653
-
An improved procedure for orthogonalising the search vectors in Rosenbrock's and Swann's direct search optimisation methods
-
J. R. Palmer, An improved procedure for orthogonalising the search vectors in Rosenbrock's and Swann's direct search optimisation methods, Comput. J., 12 (1969), pp. 69-71.
-
(1969)
Comput. J.
, vol.12
, pp. 69-71
-
-
Palmer, J.R.1
-
205
-
-
0000256299
-
Comparison of simplex algorithms
-
L.-R. Parker Jr., M. R. Cave, and R. M. Barnes, Comparison of simplex algorithms, Analytica Chimica Acta, 175 (1985), pp. 231-237.
-
(1985)
Analytica Chimica Acta
, vol.175
, pp. 231-237
-
-
Parker Jr., L.-R.1
Cave, M.R.2
Barnes, R.M.3
-
206
-
-
0003884377
-
A consideration of non-gradient algorithms for the unconstrained optimization of functions of high dimensionality
-
F. A. Lootsma, ed., Academic Press, London, New York
-
J. M. Parkinson and D. Huntchinson, A consideration of non-gradient algorithms for the unconstrained optimization of functions of high dimensionality, in Numerical Methods for Non-linear Optimization, F. A. Lootsma, ed., Academic Press, London, New York, 1972, pp. 99-113.
-
(1972)
Numerical Methods for Non-Linear Optimization
, pp. 99-113
-
-
Parkinson, J.M.1
Huntchinson, D.2
-
207
-
-
0002387209
-
An investigation into the efficiency of variants on the simplex method
-
F. A. Lootsma, ed., Academic Press, London, New York
-
J. M. Parkinson and D. Hutchinson, An investigation into the efficiency of variants on the simplex method, in Numerical Methods for Non-linear Optimization, F. A. Lootsma, ed., Academic Press, London, New York, 1972, pp. 115-135.
-
(1972)
Numerical Methods for Non-Linear Optimization
, pp. 115-135
-
-
Parkinson, J.M.1
Hutchinson, D.2
-
208
-
-
0001581971
-
Constrained nonlinear optimization by heuristic programming
-
D. Paviani and D. M. Himmelblau, Constrained nonlinear optimization by heuristic programming, Oper. Res., 17 (1969), pp. 872-882.
-
(1969)
Oper. Res.
, vol.17
, pp. 872-882
-
-
Paviani, D.1
Himmelblau, D.M.2
-
209
-
-
0014882622
-
A new method for minimising a sum of squares without calculating gradients
-
G. Peckham, A new method for minimising a sum of squares without calculating gradients, Comput. J., 13 (1970), pp. 418-420.
-
(1970)
Comput. J.
, vol.13
, pp. 418-420
-
-
Peckham, G.1
-
210
-
-
0016026601
-
A preliminary investigation of function optimisation by a combination of methods
-
D. A. Phillips, A preliminary investigation of function optimisation by a combination of methods, Comput. J., 17 (1974), pp. 75-79.
-
(1974)
Comput. J.
, vol.17
, pp. 75-79
-
-
Phillips, D.A.1
-
211
-
-
21344490750
-
A matrix approach to finding a set of generators and finding the polar (dual) of a class of polyhedral cones
-
C. Pillers Dobler, A matrix approach to finding a set of generators and finding the polar (dual) of a class of polyhedral cones, SIAM J. Matrix Anal. Appl., 15 (1994), pp. 796-803.
-
(1994)
SIAM J. Matrix Anal. Appl.
, vol.15
, pp. 796-803
-
-
Pillers Dobler, C.1
-
213
-
-
11344255882
-
Generalized pattern search algorithms with adaptive precision function evaluations
-
Department of Electrical Engineering, University of California at Berkeley, and Simulation Research Group, Building Technologies Department, Environmental Energy Technologies Division, Lawrence Berkeley National Laboratory, Berkeley, CA
-
E. Polak and M. Wetter, Generalized Pattern Search Algorithms with Adaptive Precision Function Evaluations, Department of Electrical Engineering, University of California at Berkeley, and Simulation Research Group, Building Technologies Department, Environmental Energy Technologies Division, Lawrence Berkeley National Laboratory, Berkeley, CA, 2001.
-
(2001)
-
-
Polak, E.1
Wetter, M.2
-
214
-
-
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), pp. 155-162.
-
(1964)
Comput. J.
, vol.7
, pp. 155-162
-
-
Powell, M.J.D.1
-
215
-
-
0001008029
-
A method for minimizing a sum of squares of non-linear functions without calculating derivatives
-
M. J. D. Powell, A method for minimizing a sum of squares of non-linear functions without calculating derivatives, Comput. J., 7 (1965), pp. 303-307.
-
(1965)
Comput. J.
, vol.7
, pp. 303-307
-
-
Powell, M.J.D.1
-
216
-
-
0002380692
-
A method for nonlinear constraints in minimization problems
-
R. Fletcher, ed., Academic Press, New York
-
M. J. D. Powell, A method for nonlinear constraints in minimization problems, in Optimization, R. Fletcher, ed., Academic Press, New York, 1969, pp. 283-298.
-
(1969)
Optimization
, pp. 283-298
-
-
Powell, M.J.D.1
-
217
-
-
0002626123
-
A hybrid method for nonlinear equations
-
P. Rabinowitz, ed., Gordon & Breach, London
-
M. J. D. Powell, A hybrid method for nonlinear equations, in Numerical Methods for Nonlinear Algebraic Equations, P. Rabinowitz, ed., Gordon & Breach, London, 1970, pp. 87-114.
-
(1970)
Numerical Methods for Nonlinear Algebraic Equations
, pp. 87-114
-
-
Powell, M.J.D.1
-
218
-
-
0001258795
-
On search directions for minimization algorithms
-
M. J. D. Powell, On search directions for minimization algorithms, Math. Programming, 4 (1973), pp. 193-201.
-
(1973)
Math. Programming
, vol.4
, pp. 193-201
-
-
Powell, M.J.D.1
-
219
-
-
0013468442
-
Unconstrained minimization algorithms without computation of derivatives
-
M. J. D. Powell, Unconstrained minimization algorithms without computation of derivatives, Boll. Un. Mat. Ital. (4), 9, (1974), pp. 60-69.
-
(1974)
Boll. Un. Mat. Ital. (4)
, vol.9
, pp. 60-69
-
-
Powell, M.J.D.1
-
220
-
-
84976810993
-
A view of unconstrained minimization algorithms that do not require derivatives
-
M. J. D. Powell, A view of unconstrained minimization algorithms that do not require derivatives, ACM Trans. Math. Software, 1 (1975), pp. 97-107.
-
(1975)
ACM Trans. Math. Software
, vol.1
, pp. 97-107
-
-
Powell, M.J.D.1
-
221
-
-
0001770043
-
A direct search optimization method that models the objective and constraint functions by linear interpolation
-
Oaxaca, Mexico, S. Gomez and J.-P. Hennard, eds., Math. Appl. 275, Kluwer Academic, Dordrecht, The Netherlands
-
M. J. D. Powell, A direct search optimization method that models the objective and constraint functions by linear interpolation, in Advances in Optimization and Numerical Analysis, Proceedings of the 6th Workshop on Optimization and Numerical Analysis, Oaxaca, Mexico, S. Gomez and J.-P. Hennard, eds., Math. Appl. 275, Kluwer Academic, Dordrecht, The Netherlands, 1994, pp. 51-67.
-
(1994)
Advances in Optimization and Numerical Analysis, Proceedings of the 6th Workshop on Optimization and Numerical Analysis
, pp. 51-67
-
-
Powell, M.J.D.1
-
222
-
-
85011436515
-
Direct search algorithms for optimization calculations
-
M. J. D. Powell, Direct search algorithms for optimization calculations, Acta Numer., 7 (1998), pp. 287-336.
-
(1998)
Acta Numer.
, vol.7
, pp. 287-336
-
-
Powell, M.J.D.1
-
223
-
-
19444381434
-
On the lagrange functions of quadratic models that are defined by interpolation
-
Tech. Rep. DAMTP 2000/NA10, Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge, UK
-
M. J. D. Powell, On the Lagrange Functions of Quadratic Models That Are Defined by Interpolation, Tech. Rep. DAMTP 2000/NA10, Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge, UK, 2000.
-
(2000)
-
-
Powell, M.J.D.1
-
224
-
-
0037284645
-
Frame based ray search algorithms in unconstrained optimization
-
C. J. Price and I. D. Coope, Frame based ray search algorithms in unconstrained optimization, J. Optim. Theory Appl., 116 (2003), pp. 259-377.
-
(2003)
J. Optim. Theory Appl.
, vol.116
, pp. 259-377
-
-
Price, C.J.1
Coope, I.D.2
-
225
-
-
0036251280
-
A convergent variant of the Nelder Mead algorithm
-
C. J. Price, I. D. Coope, and D. Byatt, A convergent variant of the Nelder Mead algorithm, J. Optim. Theory Appl., 113 (2002), pp. 5-19.
-
(2002)
J. Optim. Theory Appl.
, vol.113
, pp. 5-19
-
-
Price, C.J.1
Coope, I.D.2
Byatt, D.3
-
226
-
-
0001642686
-
A controlled random search procedure for global optimisation
-
W. L. Price, A controlled random search procedure for global optimisation, Comput. J., 20 (1977), pp. 367-370.
-
(1977)
Comput. J.
, vol.20
, pp. 367-370
-
-
Price, W.L.1
-
227
-
-
0004267646
-
-
Princeton University Press, Princeton, NJ
-
R. T. Rockafellar, Convex Analysis, Princeton University Press, Princeton, NJ, 1970.
-
(1970)
Convex Analysis
-
-
Rockafellar, R.T.1
-
228
-
-
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), pp. 175-184.
-
(1960)
Comput. J.
, vol.3
, pp. 175-184
-
-
Rosenbrock, H.H.1
-
229
-
-
33847089535
-
Performance of the super modified simplex
-
M. W. Routh, P. A. Swartz, and M. B. Denton, Performance of the super modified simplex, Analytical Chem., 49 (1977), pp. 1422-1428.
-
(1977)
Analytical Chem.
, vol.49
, pp. 1422-1428
-
-
Routh, M.W.1
Swartz, P.A.2
Denton, M.B.3
-
230
-
-
0003725380
-
Functional stability analysis of numerical algorithms
-
Ph.D. thesis, University of Texas at Austin
-
T. H. Rowan, Functional Stability Analysis of Numerical Algorithms, Ph.D. thesis, University of Texas at Austin, 1990.
-
(1990)
-
-
Rowan, T.H.1
-
231
-
-
0019049412
-
Simplex techniques for nonlinear optimization
-
P. B. Ryan, R. L. Barr, and H. D. Todd, Simplex techniques for nonlinear optimization, Analytical Chem., 52 (1980), pp. 1460-1467.
-
(1980)
Analytical Chem.
, vol.52
, pp. 1460-1467
-
-
Ryan, P.B.1
Barr, R.L.2
Todd, H.D.3
-
232
-
-
0000939789
-
Simplex direct search algorithms
-
A. S. Rykov, Simplex direct search algorithms, Automat. Remote Control, 41 (1980), pp. 784-793.
-
(1980)
Automat. Remote Control
, vol.41
, pp. 784-793
-
-
Rykov, A.S.1
-
233
-
-
0019054614
-
Simplex methods of direct search
-
A. S. Rykov, Simplex methods of direct search, Engrg. Cybernetics, 18 (1980), pp. 12-18.
-
(1980)
Engrg. Cybernetics
, vol.18
, pp. 12-18
-
-
Rykov, A.S.1
-
234
-
-
0242682153
-
A combined penalty-function and projection method
-
A. S. Rykov, A combined penalty-function and projection method, Soviet Phys. Dokl., 28 (1983), pp. 832-833.
-
(1983)
Soviet Phys. Dokl.
, vol.28
, pp. 832-833
-
-
Rykov, A.S.1
-
235
-
-
0013501570
-
Simplex algorithms for unconstrained minimization
-
A. S. Rykov, Simplex algorithms for unconstrained minimization, Problems Control Inform. Theory, 12 (1983), pp. 195-208.
-
(1983)
Problems Control Inform. Theory
, vol.12
, pp. 195-208
-
-
Rykov, A.S.1
-
236
-
-
0242682154
-
Minimization without constraints
-
M. Avriel, M. J. Rijckaert, and D. J. Wilde, eds., Prentice-Hall, Englewood Cliffs, NJ
-
R. W. H. Sargent, Minimization without constraints, in Optimization and Design, M. Avriel, M. J. Rijckaert, and D. J. Wilde, eds., Prentice-Hall, Englewood Cliffs, NJ, 1973, pp. 37-75.
-
(1973)
Optimization and Design
, pp. 37-75
-
-
Sargent, R.W.H.1
-
237
-
-
0025782260
-
Techniques and performance of the advanced regular simplex method
-
M. H. Shao, Techniques and performance of the advanced regular simplex method, Analytica Chimica Acta, 248 (1991), pp. 31-39.
-
(1991)
Analytica Chimica Acta
, vol.248
, pp. 31-39
-
-
Shao, M.H.1
-
238
-
-
85039621204
-
MINIM: A program for function minimization using the simplex method
-
software available at StatLib: Data, Software and News from Statistics Community, Applied Statistics algorithms
-
D. E. Shaw, R. W. M. Wedderburn, and A. Miller, MINIM: A program for function minimization using the simplex method; software available at StatLib: Data, Software and News from Statistics Community, Applied Statistics algorithms, http://lib.stat.cmu.edu/apstat/47, 1991.
-
(1991)
-
-
Shaw, D.E.1
Wedderburn, R.W.M.2
Miller, A.3
-
239
-
-
1542358253
-
Direct search generalized simplex algorithm for optimization non-linear functions
-
Tech. Rep. 2535, INRIA, France
-
H. Shekarforoush, M. Berthod, and J. Zerubia, Direct Search Generalized Simplex Algorithm for Optimization Non-Linear Functions, Tech. Rep. 2535, INRIA, France, 1995.
-
(1995)
-
-
Shekarforoush, H.1
Berthod, M.2
Zerubia, J.3
-
240
-
-
4243882787
-
Model-assisted pattern search
-
Honors Thesis, Department of Computer Science, College of William, & Mary, Williamsburg, VA
-
C. M. Siefert, Model-Assisted Pattern Search, Honors Thesis, Department of Computer Science, College of William, & Mary, Williamsburg, VA, 2000.
-
(2000)
-
-
Siefert, C.M.1
-
242
-
-
0242430186
-
A minimization solver for many parameters
-
D. K. Smith, A minimization solver for many parameters, J. Quality Tech., 18 (1986), pp. 248-254.
-
(1986)
J. Quality Tech.
, vol.18
, pp. 248-254
-
-
Smith, D.K.1
-
243
-
-
84945708240
-
Remark on algorithm 178
-
L. B. Smith, Remark on algorithm 178, Comm. ACM, 12 (1969), p. 638.
-
(1969)
Comm. ACM
, vol.12
, pp. 638
-
-
Smith, L.B.1
-
244
-
-
0043067906
-
A review of minimization techniques for nonlinear functions
-
H. A. Spang III, A review of minimization techniques for nonlinear functions, SIAM Rev., 4 (1962), pp. 343-365.
-
(1962)
SIAM Rev.
, vol.4
, pp. 343-365
-
-
Spang III, H.A.1
-
245
-
-
0003320261
-
Nonlinear least squares fittig using a modified simplex minimization method
-
R. Fletcher, ed., Academic Press, New York
-
W. Spendley, Nonlinear least squares fittig using a modified simplex minimization method, in Optimization, R. Fletcher, ed., Academic Press, New York, 1969, pp. 259-270.
-
(1969)
Optimization
, pp. 259-270
-
-
Spendley, W.1
-
246
-
-
84946640734
-
Sequential application of simplex designs in optimisation and evolutionary operation
-
W. Spendley, G. R. Hext, and F. R. Himsworth, Sequential application of simplex designs in optimisation and evolutionary operation, Technometrics, 4 (1962), pp. 441-461.
-
(1962)
Technometrics
, vol.4
, pp. 441-461
-
-
Spendley, W.1
Hext, G.R.2
Himsworth, F.R.3
-
247
-
-
85039606257
-
Übertangung des Optimerungsverfahrens von Nelder und Mead auf refstringierte Probleme
-
Diploma thesis, Numerical Mathematics Group, Technical University of Darmstadt, Germany
-
M. Strasser, Übertangung des Optimerungsverfahrens von Nelder und Mead auf refstringierte Probleme, Diploma thesis, Numerical Mathematics Group, Technical University of Darmstadt, Germany, 1994.
-
(1994)
-
-
Strasser, M.1
-
249
-
-
0242430179
-
An extension of Fibonaccian searching to multidimensional cases
-
N. Sugie, An extension of Fibonaccian searching to multidimensional cases, IEEE Trans. Automat. Control, 9 (1964), p. 105.
-
(1964)
IEEE Trans. Automat. Control
, vol.9
, pp. 105
-
-
Sugie, N.1
-
250
-
-
0242598353
-
Report on the development of a new direct search method of optimization
-
Tech. Rep. Research Note 64/3, I.C.I. Central Instrument Lab
-
W. H. Swann, Report on the Development of a New Direct Search Method of Optimization, Tech. Rep. Research Note 64/3, I.C.I. Central Instrument Lab, 1964.
-
(1964)
-
-
Swann, W.H.1
-
251
-
-
0001900208
-
Direct search methods
-
W. Murray, ed., Academic Press, London, New York
-
W. H. Swann, Direct search methods, in Numerical Methods for Unconstrained Optimization, W. Murray, ed., Academic Press, London, New York, 1972, pp. 13-28.
-
(1972)
Numerical Methods for Unconstrained Optimization
, pp. 13-28
-
-
Swann, W.H.1
-
252
-
-
0007092983
-
Constrained optimization by direct search
-
P. E. Gill and W. Murray, eds., Academic Press, London, New York
-
W. H. Swann, Constrained optimization by direct search, in Numerical Methods for Constrained Optimization, P. E. Gill and W. Murray, eds., Academic Press, London, New York, 1974, pp. 191-217.
-
(1974)
Numerical Methods for Constrained Optimization
, pp. 191-217
-
-
Swann, W.H.1
-
253
-
-
0040845879
-
Sequential estimation techniques for quasi-newton methods
-
Tech. Rep. TR75227, Department of Computer Science, Cornell University, Ithaca, NY
-
S. W. Thomas, Sequential Estimation Techniques for Quasi-Newton Methods, Tech. Rep. TR75227, Department of Computer Science, Cornell University, Ithaca, NY, 1975.
-
(1975)
-
-
Thomas, S.W.1
-
254
-
-
0242513599
-
On the accelerating property of an algorithm for function minimization without calculating derivatives
-
correction by F. M. Callier and Ph. L. Toint, Optim. Theory Appl., 26 (1978), pp. 465-467
-
P. L. Toint and F. M. Callier, On the accelerating property of an algorithm for function minimization without calculating derivatives, J. Optim. Theory Appl., 23 (1977), pp. 531-547; correction by F. M. Callier and Ph. L. Toint, Optim. Theory Appl., 26 (1978), pp. 465-467.
-
(1977)
J. Optim. Theory Appl.
, vol.23
, pp. 531-547
-
-
Toint, P.L.1
Callier, F.M.2
-
255
-
-
84945708141
-
Remark on algorithm 178
-
F. K. Tomlin and L. B. Smith, Remark on algorithm 178, Comm. ACM, 12 (1969), pp. 637-638.
-
(1969)
Comm. ACM
, vol.12
, pp. 637-638
-
-
Tomlin, F.K.1
Smith, L.B.2
-
256
-
-
0004036758
-
Multi-directional search: A direct search algorithm for parallel machines
-
Ph.D. thesis, Department of Mathematical Sciences, Rice University, Houston, TX; available as Tech. Rep. 90-07, Department of Computational and Applied Mathematics, Rice University, Houston, TX, 1990
-
V. Torczon, Multi-Directional Search: A Direct Search Algorithm for Parallel Machines, Ph.D. thesis, Department of Mathematical Sciences, Rice University, Houston, TX, 1989; available as Tech. Rep. 90-07, Department of Computational and Applied Mathematics, Rice University, Houston, TX, 1990.
-
(1989)
-
-
Torczon, V.1
-
257
-
-
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
-
258
-
-
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
-
259
-
-
0001072883
-
From evolutionary operation to parallel direct search: Pattern search algorithms for numerical optimization
-
V. Torczon and M. W. Trosset, From evolutionary operation to parallel direct search: Pattern search algorithms for numerical optimization, Comput. Sci. Statist., 29 (1998), pp. 396-401.
-
(1998)
Comput. Sci. Statist.
, vol.29
, pp. 396-401
-
-
Torczon, V.1
Trosset, M.W.2
-
261
-
-
4243258470
-
On the use of direct search methods for stochastic optimization
-
Tech. Rep. 00-20, Department of Computational and Applied Mathematics, Rice University, Houston, TX
-
M. W. Trosset, On the Use of Direct Search Methods for Stochastic Optimization, Tech. Rep. 00-20, Department of Computational and Applied Mathematics, Rice University, Houston, TX, 2000.
-
(2000)
-
-
Trosset, M.W.1
-
262
-
-
0004143614
-
Numerical optimization using computer experiments
-
Tech. Rep. 97-38, Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, Hampton, VA; revised 1999 and available as Tech. Rep. 97-2, Department of Computational & Applied Mathematics, Rice University, Houston, TX, 1997
-
M. W. Trosset and V. Torczon, Numerical Optimization Using Computer Experiments, Tech. Rep. 97-38, Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, Hampton, VA, 1997; revised 1999 and available as Tech. Rep. 97-2, Department of Computational & Applied Mathematics, Rice University, Houston, TX, 1997.
-
(1997)
-
-
Trosset, M.W.1
Torczon, V.2
-
263
-
-
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
-
264
-
-
0035533631
-
Convergence of block coordinate descent method for nondifferentiable minimization
-
P. Tseng, Convergence of block coordinate descent method for nondifferentiable minimization, J. Optim. Theory Appl., 109 (2001), pp. 475-494.
-
(2001)
J. Optim. Theory Appl.
, vol.109
, pp. 475-494
-
-
Tseng, P.1
-
266
-
-
0013584942
-
The symmetry-controlled simplex optimization procedure
-
P. F. A. van der Wiel, R. Maassen, and G. Kateman, The symmetry-controlled simplex optimization procedure, Analytica Chimica Acta, 153 (1983), pp. 83-92.
-
(1983)
Analytica Chimica Acta
, vol.153
, pp. 83-92
-
-
Van Der Wiel, P.F.A.1
Maassen, R.2
Kateman, G.3
-
267
-
-
85039629040
-
The simplex method for minimisation of a general function
-
Supplementary Report 686, Assessment Division, Transport Systems Department, Transport and Road Research Laboratory, Crowthorne, Berkshire, UK
-
D. A. Walmsley, The Simplex Method for Minimisation of a General Function, Supplementary Report 686, Assessment Division, Transport Systems Department, Transport and Road Research Laboratory, Crowthorne, Berkshire, UK, 1981.
-
(1981)
-
-
Walmsley, D.A.1
-
268
-
-
0003656144
-
-
Chemometrics Series, CRC Press, Boca Raton, FL
-
F. H. Walters, L. R. Parker, Jr., S. L. Morgan, and S. N. Deming, Sequential Simplex Optimization, Chemometrics Series, CRC Press, Boca Raton, FL, 1991.
-
(1991)
Sequential Simplex Optimization
-
-
Walters, F.H.1
Parker Jr., L.R.2
Morgan, S.L.3
Deming, S.N.4
-
269
-
-
0001406729
-
Function minimization by interpolation in a data table
-
D. Winfield, Function minimization by interpolation in a data table, J. Inst. Math. Appl., 12 (1973), pp. 339-347.
-
(1973)
J. Inst. Math. Appl.
, vol.12
, pp. 339-347
-
-
Winfield, D.1
-
270
-
-
0014492147
-
Convergence conditions for ascent methods
-
P. Wolfe, Convergence conditions for ascent methods, SIAM Rev., 11 (1969), pp. 226-235.
-
(1969)
SIAM Rev.
, vol.11
, pp. 226-235
-
-
Wolfe, P.1
-
271
-
-
0242598310
-
Review of design optimization techniques
-
C. F. Wood, Review of design optimization techniques, IEEE Trans. Systems Sci. Cybernetics, 1 (1965), pp. 14-20.
-
(1965)
IEEE Trans. Systems Sci. Cybernetics
, vol.1
, pp. 14-20
-
-
Wood, C.F.1
-
272
-
-
0040848855
-
An interactive approach for solving multi-objective optimization problems
-
Ph.D. thesis, Department of Mathematical Sciences, Rice University, Houston, TX; also available as TR85-05, Department of Computational and Applied Mathematics, Rice University, Houston, TX, 1985
-
D. J. Woods, An Interactive Approach for Solving Multi-Objective Optimization Problems, Ph.D. thesis, Department of Mathematical Sciences, Rice University, Houston, TX, 1985; also available as TR85-05, Department of Computational and Applied Mathematics, Rice University, Houston, TX, 1985.
-
(1985)
-
-
Woods, D.J.1
-
273
-
-
0000419261
-
Direct search methods: Once scorned, now respectable
-
D. F. Griffiths and G. A. Watson, eds., Pitman Res. Notes Math. Ser. 344, CRC Press, Boca Raton, FL
-
M. H. Wright, Direct search methods: Once scorned, now respectable, in Numerical Analysis 1995 (Proceedings of the 1995 Dundee Biennial Conference in Numerical Analysis), D. F. Griffiths and G. A. Watson, eds., Pitman Res. Notes Math. Ser. 344, CRC Press, Boca Raton, FL, 1996, pp. 191-208.
-
(1996)
Numerical Analysis 1995 (Proceedings of the 1995 Dundee Biennial Conference in Numerical Analysis)
, pp. 191-208
-
-
Wright, M.H.1
-
274
-
-
84882105642
-
What, if anything, is new in optimization?
-
Tech. Rep. 00-4-08, Computing Sciences Research Center, Bell Laboratories, Murray Hill, NJ
-
M. H. Wright, What, If Anything, Is New in Optimization?, Tech. Rep. 00-4-08, Computing Sciences Research Center, Bell Laboratories, Murray Hill, NJ, 2000.
-
(2000)
-
-
Wright, M.H.1
-
275
-
-
0034343136
-
A note on positively spanning sets
-
S. E. Wright, A note on positively spanning sets, Amer. Math. Monthly, 107 (2000), pp. 364-366.
-
(2000)
Amer. Math. Monthly
, vol.107
, pp. 364-366
-
-
Wright, S.E.1
-
276
-
-
0242513553
-
An example of non-convergence of trust region algorithms
-
Y.-X. Yuan, ed., Kluwer Academic, Dordrecht, The Netherlands
-
Y.-X. Yuan, An example of non-convergence of trust region algorithms, in Advances in Nonlinear Programming, Y.-X. Yuan, ed., Kluwer Academic, Dordrecht, The Netherlands, 1998, pp. 205-215.
-
(1998)
Advances in Nonlinear Programming
, pp. 205-215
-
-
Yuan, Y.-X.1
-
277
-
-
0000771837
-
Selection and preprocessing of factors for simplex optimization
-
L. A. Yarbo and S. N. Deming, Selection and preprocessing of factors for simplex optimization, Analytica Chimica Acta, 73 (1974), pp. 391-398.
-
(1974)
Analytica Chimica Acta
, vol.73
, pp. 391-398
-
-
Yarbo, L.A.1
Deming, S.N.2
-
278
-
-
0007469068
-
The convergence property of the simplex evolutionary techniques
-
W. Yu, The convergence property of the simplex evolutionary techniques, Scientia Sinica, Special Issue of Mathematics, 1 (1979), pp. 68-77.
-
(1979)
Scientia Sinica, Special Issue of Mathematics
, vol.1
, pp. 68-77
-
-
Yu, W.1
-
279
-
-
0003001457
-
Positive basis and a class of direct search techniques
-
W. Yu, Positive basis and a class of direct search techniques, Scientia Sinica, Special Issue of Mathematics, 1 (1979), pp. 53-67.
-
(1979)
Scientia Sinica, Special Issue of Mathematics
, vol.1
, pp. 53-67
-
-
Yu, W.1
-
280
-
-
0000819739
-
Minimizing a function without calculating derivatives
-
W. I. Zangwill, Minimizing a function without calculating derivatives, Comput. J., 10 (1967), pp. 293-296.
-
(1967)
Comput. J.
, vol.10
, pp. 293-296
-
-
Zangwill, W.I.1
-
281
-
-
0002130882
-
Projections on convex sets in Hilbert space and spectral theory
-
E. H. Zarantonello, ed., Academic Press, London, New York
-
E. H. Zarantonello, Projections on convex sets in Hilbert space and spectral theory, in Contributions to Nonlinear Functional Analysis, E. H. Zarantonello, ed., Academic Press, London, New York, 1971, pp. 237-424.
-
(1971)
Contributions to Nonlinear Functional Analysis
, pp. 237-424
-
-
Zarantonello, E.H.1
-
282
-
-
0002552156
-
On the global optimization properties of finite-difference local descent algorithms
-
S. K. Zavriev, On the global optimization properties of finite-difference local descent algorithms, J. Global Optim., 3 (1993), pp. 67-78.
-
(1993)
J. Global Optim.
, vol.3
, pp. 67-78
-
-
Zavriev, S.K.1
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