-
1
-
-
0002517759
-
On the kuhn-tucker theorem
-
John Wiley, New York
-
J. Abadie, On the Kuhn-Tucker theorem, in Nonlinear Programming, John Wiley, New York, 1967, pp. 21-36.
-
(1967)
Nonlinear Programming
, pp. 21-36
-
-
Abadie, J.1
-
2
-
-
45849133389
-
On augmented Lagrangian methods with general lower-level constraints
-
R. Andreani, E. G. Birgin, J. M. Martínez, and M. L. Schuverdt, On augmented Lagrangian methods with general lower-level constraints, SIAM J. Optim., 18 (2007), pp. 1286-1309.
-
(2007)
SIAM J. Optim.
, vol.18
, pp. 1286-1309
-
-
Andreani, R.1
Birgin, E.G.2
Martínez, J.M.3
Schuverdt, M.L.4
-
3
-
-
34347264176
-
Augmented Lagrangian methods under the constant positive linear dependence constraint qualification
-
R. Andreani, E. G. Birgin, J. M. Martínez, and M. L. Schuverdt, Augmented Lagrangian methods under the constant positive linear dependence constraint qualification, Math. Program., 111 (2008), pp. 5-32.
-
(2008)
Math. Program.
, vol.111
, pp. 5-32
-
-
Andreani, R.1
Birgin, E.G.2
Martínez, J.M.3
Schuverdt, M.L.4
-
4
-
-
84858271304
-
On sequential optimality conditions for smooth constrained optimization
-
R. Andreani, G. Haeser, and J. M. Martínez, On sequential optimality conditions for smooth constrained optimization, Optimization, 60 (2011), pp. 627-641.
-
(2011)
Optimization
, vol.60
, pp. 627-641
-
-
Andreani, R.1
Haeser, G.2
Martínez, J.M.3
-
5
-
-
84866262907
-
A relaxed constant positive linear dependence constraint qualification and applications
-
to appear
-
R. Andreani, G. Haeser, M. L. Schuverdt, and P. J. S. Silva, A relaxed constant positive linear dependence constraint qualification and applications, Math. Program., to appear.
-
Math. Program.
-
-
Andreani, R.1
Haeser, G.2
Schuverdt, M.L.3
Silva, P.J.S.4
-
6
-
-
17644381324
-
On the relation between constant positive linear dependence condition and quasinormality constraint qualification
-
R. Andreani, J. M. Martínez, and M. L. Schuverdt, On the relation between constant positive linear dependence condition and quasinormality constraint qualification, J.Optim. Theory Appl., 125 (2005), pp. 473-483.
-
(2005)
J.Optim. Theory Appl.
, vol.125
, pp. 473-483
-
-
Andreani, R.1
Martínez, J.M.2
Schuverdt, M.L.3
-
7
-
-
84890245567
-
-
3rd ed., John Wiley, Hoboken, NJ
-
M. S. Bazaraa, H. D. Sherali, and C. M. Shetty, Nonlinear Programming: Theory and Algorithms, 3rd ed., John Wiley, Hoboken, NJ, 2006.
-
(2006)
Nonlinear Programming: Theory and Algorithms
-
-
Bazaraa, M.S.1
Sherali, H.D.2
Shetty, C.M.3
-
8
-
-
0003713964
-
-
2nd ed., Athena Scientific, Belmont, MA
-
D. P. Bertsekas, Nonlinear Programming, 2nd ed., Athena Scientific, Belmont, MA, 1999.
-
(1999)
Nonlinear Programming
-
-
Bertsekas, D.P.1
-
10
-
-
33646754440
-
2-penalty methods for nonlinear programming with strong global convergence properties
-
2-penalty methods for nonlinear programming with strong global convergence properties, Math. Program., 108 (2006), pp. 1-26.
-
(2006)
Math. Program.
, vol.108
, pp. 1-26
-
-
Chen, L.1
Goldfarb, D.2
-
11
-
-
77954758390
-
A new line search inexact restoration approach for nonlinear programming
-
A. Fischer and A. Friedlander, A new line search inexact restoration approach for nonlinear programming, Comput. Optim. Appl., 46 (2010), pp. 333-346.
-
(2010)
Comput. Optim. Appl.
, vol.46
, pp. 333-346
-
-
Fischer, A.1
Friedlander, A.2
-
12
-
-
0036959271
-
Interior methods for nonlinear optimization
-
A. Forsgren, P. E. Gill, and M. H. Wright, Interior methods for nonlinear optimization, SIAM Rev., 44 (2002), pp. 525-597.
-
(2002)
SIAM Rev.
, vol.44
, pp. 525-597
-
-
Forsgren, A.1
Gill, P.E.2
Wright, M.H.3
-
13
-
-
0015022988
-
A necessary and sufficient qualification for constrained optimization
-
F. J. Gould and J. W. Tolle, A necessary and sufficient qualification for constrained optimization, SIAM J. Appl. Math., 20 (1971), pp. 164-172.
-
(1971)
SIAM J. Appl. Math.
, vol.20
, pp. 164-172
-
-
Gould, F.J.1
Tolle, J.W.2
-
14
-
-
12144267008
-
Convergence of primal-dual solutions for the nonconvex log-barrier method without LICQ
-
C. Grossmann, D. Klatte, and B. Kummer, Convergence of primal-dual solutions for the nonconvex log-barrier method without LICQ, Kybernetika, 20 (2004), pp. 571-584.
-
(2004)
Kybernetika
, vol.20
, pp. 571-584
-
-
Grossmann, C.1
Klatte, D.2
Kummer, B.3
-
15
-
-
0000923543
-
Generalized Kuhn-Tucker conditions for mathematical programming problems in a Banach space
-
M. Guignard, Generalized Kuhn-Tucker conditions for mathematical programming problems in a Banach space, SIAM J. Control, 7 (1969), pp. 232-241.
-
(1969)
SIAM J. Control
, vol.7
, pp. 232-241
-
-
Guignard, M.1
-
16
-
-
77956528223
-
On the global convergence of interior-point nonlinear programming algorithms
-
G. Haeser, On the global convergence of interior-point nonlinear programming algorithms, Comput. Appl. Math., 29 (2010), pp. 125-138.
-
(2010)
Comput. Appl. Math.
, vol.29
, pp. 125-138
-
-
Haeser, G.1
-
17
-
-
79955869932
-
On approximate KKT condition and its extension to continuous variational inequalities
-
G. Haeser and M. L. Schuverdt, On approximate KKT condition and its extension to continuous variational inequalities, J. Optim. Theory Appl., 149 (2011), pp. 125-138.
-
(2011)
J. Optim. Theory Appl.
, vol.149
, pp. 125-138
-
-
Haeser, G.1
Schuverdt, M.L.2
-
18
-
-
84867935278
-
First- and second-order optimality conditions for mathematical programs with vanishing constraints
-
T. Hoheisel and C. Kanzow, First- and second-order optimality conditions for mathematical programs with vanishing constraints, Appl. Math., 52 (2007), pp. 495-514.
-
(2007)
Appl. Math.
, vol.52
, pp. 495-514
-
-
Hoheisel, T.1
Kanzow, C.2
-
19
-
-
85099494485
-
Theoretical and numerical comparison of relaxation methods for mathematical programs with complementarity constraints
-
to appear
-
T. Hoheisel, C. Kanzow, and A. Schwartz, Theoretical and numerical comparison of relaxation methods for mathematical programs with complementarity constraints, Math. Program., to appear.
-
Math. Program.
-
-
Hoheisel, T.1
Kanzow, C.2
Schwartz, A.3
-
20
-
-
84861427983
-
Mathematical programs with vanishing constraints: A new regularization approach with strong convergence properties
-
T. Hoheisel, C. Kanzow, and A. Schwartz, Mathematical programs with vanishing constraints: A new regularization approach with strong convergence properties, Optimization, 61 (2012), pp. 619-636.
-
(2012)
Optimization
, vol.61
, pp. 619-636
-
-
Hoheisel, T.1
Kanzow, C.2
Schwartz, A.3
-
21
-
-
70349589874
-
Mathematical programs with vanishing constraints: Optimality conditions, sensitivity and a relaxation method
-
A. F. Izmailov and M. V. Solodov, Mathematical programs with vanishing constraints: Optimality conditions, sensitivity and a relaxation method, J. Optim. Theory Appl., 142 (2009), pp. 501-532.
-
(2009)
J. Optim. Theory Appl.
, vol.142
, pp. 501-532
-
-
Izmailov, A.F.1
Solodov, M.V.2
-
22
-
-
0021451337
-
Directional derivative of the marginal function in nonlinear programming
-
North-Holland, Amsterdam, The Netherlands
-
R. Janin, Directional derivative of the marginal function in nonlinear programming, in Math. Program. Stud. 21, North-Holland, Amsterdam, The Netherlands, 1984, pp. 110-126.
-
(1984)
Math. Program. Stud.
, vol.21
, pp. 110-126
-
-
Janin, R.1
-
23
-
-
78651445952
-
Implications of the constant rank constraint qualification
-
S. Lu, Implications of the constant rank constraint qualification, Math. Program., 126 (2009), pp. 365-392.
-
(2009)
Math. Program.
, vol.126
, pp. 365-392
-
-
Lu, S.1
-
24
-
-
84859575878
-
Relation between the constant rank and the relaxed constant rank constraint qualifications
-
S. Lu, Relation between the constant rank and the relaxed constant rank constraint qualifications, Optimization, 61 (2012), pp. 555-566.
-
(2012)
Optimization
, vol.61
, pp. 555-566
-
-
Lu, S.1
-
26
-
-
0013532016
-
Nonlinear programming
-
SIAM, Philadelphia
-
O. L. Mangasarian, Nonlinear Programming, Classics Appl. Math. 10, SIAM, Philadelphia, 1994.
-
(1994)
Classics Appl. Math.
, vol.10
-
-
Mangasarian, O.L.1
-
27
-
-
49949133603
-
The Fritz John necessary optimality conditions in the presence of equality and inequality constraints
-
O. L. Mangasarian and S. Fromovitz, The Fritz John necessary optimality conditions in the presence of equality and inequality constraints, J. Math. Anal. Appl., 17 (1967), pp. 37-47.
-
(1967)
J. Math. Anal. Appl.
, vol.17
, pp. 37-47
-
-
Mangasarian, O.L.1
Fromovitz, S.2
-
28
-
-
0035537443
-
Inexact restoration method with Lagrangian tangent decrease and new merit function for nonlinear programming
-
J. M. Martínez, Inexact restoration method with Lagrangian tangent decrease and new merit function for nonlinear programming, J. Optim. Theory Appl., 111 (2001), pp. 39-58.
-
(2001)
J. Optim. Theory Appl.
, vol.111
, pp. 39-58
-
-
Martínez, J.M.1
-
29
-
-
0034349457
-
Inexact restoration algorithms for constrained optimization
-
J. M. Martínez and E. A. Pilotta, Inexact restoration algorithms for constrained optimization, J. Optim. Theory Appl., 104 (2000), pp. 135-163.
-
(2000)
J. Optim. Theory Appl.
, vol.104
, pp. 135-163
-
-
Martínez, J.M.1
Pilotta, E.A.2
-
30
-
-
28244477104
-
Inexact restoration methods for nonlinear programming: Advances and perspectives
-
L. Q. Qi, K. L. Teo, and X. Q. Yang, eds., Springer, New York
-
J. M. Martínez and E. A. Pilotta, Inexact restoration methods for nonlinear programming: Advances and perspectives, in Optimization and Control with Applications, L. Q. Qi, K. L. Teo, and X. Q. Yang, eds., Springer, New York, 2005, pp. 271-292.
-
(2005)
Optimization and Control with Applications
, pp. 271-292
-
-
Martínez, J.M.1
Pilotta, E.A.2
-
31
-
-
0038505898
-
A practical optimality condition without constraint qualifications for nonlinear programming
-
J. M. Martínez and B. F. Svaiter, A practical optimality condition without constraint qualifications for nonlinear programming, J. Optim. Theory Appl., 118 (2003), pp. 117-133.
-
(2003)
J. Optim. Theory Appl.
, vol.118
, pp. 117-133
-
-
Martínez, J.M.1
Svaiter, B.F.2
-
32
-
-
79251605870
-
On relaxed constant rank regularity condition in mathematical programming
-
L. Minchenko and S. Stakhovski, On relaxed constant rank regularity condition in mathematical programming, Optimization, 60 (2011), pp. 429-440.
-
(2011)
Optimization
, vol.60
, pp. 429-440
-
-
Minchenko, L.1
Stakhovski, S.2
-
33
-
-
79957526653
-
Parametric nonlinear programming problems under the relaxed constant rank condition
-
L. Minchenko and S. Stakhovski, Parametric nonlinear programming problems under the relaxed constant rank condition, SIAM J. Optim., 21 (2011), pp. 314-332.
-
(2011)
SIAM J. Optim.
, vol.21
, pp. 314-332
-
-
Minchenko, L.1
Stakhovski, S.2
-
34
-
-
79251628736
-
On error bounds for quasinormal programs
-
L. Minchenko and A. Tarakanov, On error bounds for quasinormal programs, J. Optim. Theory Appl., 148 (2011), pp. 571-579.
-
(2011)
J. Optim. Theory Appl.
, vol.148
, pp. 571-579
-
-
Minchenko, L.1
Tarakanov, A.2
-
36
-
-
0000150038
-
Error bounds in mathematical programming
-
J.-S. Pang, Error bounds in mathematical programming, Math. Program., 79 (1997), pp. 299-332.
-
(1997)
Math. Program.
, vol.79
, pp. 299-332
-
-
Pang, J.-S.1
-
37
-
-
19444362308
-
On combining feasibility, descent and superlinear convergence in inequality constrained optimization
-
E. R. Panier and A. L. Tits, On combining feasibility, descent and superlinear convergence in inequality constrained optimization, Math. Program., 59 (1993), pp. 261-276.
-
(1993)
Math. Program.
, vol.59
, pp. 261-276
-
-
Panier, E.R.1
Tits, A.L.2
-
38
-
-
0034345366
-
On the constant positive linear dependence condition and its application to SQP methods
-
L. Qi and Z. Wei, On the constant positive linear dependence condition and its application to SQP methods, SIAM J. Optim., 10 (2000), pp. 963-981.
-
(2000)
SIAM J. Optim.
, vol.10
, pp. 963-981
-
-
Qi, L.1
Wei, Z.2
-
39
-
-
4043083975
-
Unique minimal representations with positive bases
-
J. R. Reay, Unique minimal representations with positive bases, Amer. Math. Monthly, 73 (1966), pp. 253-261.
-
(1966)
Amer. Math. Monthly
, vol.73
, pp. 253-261
-
-
Reay, J.R.1
-
40
-
-
0027606675
-
Lagrange multipliers and optimality
-
R. T. Rockafellar, Lagrange multipliers and optimality, SIAM Rev., 35 (1993), pp. 183-238.
-
(1993)
SIAM Rev.
, vol.35
, pp. 183-238
-
-
Rockafellar, R.T.1
-
41
-
-
84859431276
-
-
Wiley Encyclopedia of Operations Research and Management Science, John Wiley, Hoboken, NJ
-
M. V. Solodov, Constraint qualifications, in Wiley Encyclopedia of Operations Research and Management Science, John Wiley, Hoboken, NJ, 2011.
-
(2011)
Constraint Qualifications
-
-
Solodov, M.V.1
|