-
1
-
-
0040252998
-
Second order necessary optimality conditions for semi-infinite programming problems
-
R. Hettich, ed., Springer-Verlag, Berlin
-
A. BEN-TAL, M. TEBOULLE, AND J. ZOWE, Second order necessary optimality conditions for semi-infinite programming problems, in Semi-infinite Programming, Lecture Notes in Control and Inform. Sci. 15, R. Hettich, ed., Springer-Verlag, Berlin, 1979, pp. 17-30.
-
(1979)
Semi-infinite Programming, Lecture Notes in Control and Inform. Sci.
, vol.15
, pp. 17-30
-
-
Ben-Tal, A.1
Teboulle, M.2
Zowe, J.3
-
2
-
-
0001664441
-
Second order and related extremality conditions in nonlinear programming
-
A. BEN-TAL, Second order and related extremality conditions in nonlinear programming, J. Optim. Theory Appl., 31 (1980), pp. 143-165.
-
(1980)
J. Optim. Theory Appl.
, vol.31
, pp. 143-165
-
-
Ben-Tal, A.1
-
3
-
-
0020167088
-
A unified theory of first and second order conditions for extremum problems in topological vector spaces
-
A. BEN-TAL AND J. ZOWE, A unified theory of first and second order conditions for extremum problems in topological vector spaces, Math. Programming Study, 19 (1982), pp. 39-76.
-
(1982)
Math. Programming Study
, vol.19
, pp. 39-76
-
-
Ben-Tal, A.1
Zowe, J.2
-
4
-
-
85033950405
-
Robust solutions of uncertain linear programs
-
to appear
-
A. BEN-TAL AND A. NEMIROVSKI, Robust solutions of uncertain linear programs, Oper. Res. Lett., to appear.
-
Oper. Res. Lett.
-
-
Ben-Tal, A.1
Nemirovski, A.2
-
5
-
-
0030191876
-
Perturbed optimization in Banach spaces I: A general theory based on a weak directional constraint qualification, II: A theory based on a strong directional qualification, III: Semi-infinite optimization
-
J. F. BONNANS AND R. COMINETTI, Perturbed optimization in Banach spaces I: A general theory based on a weak directional constraint qualification, II: A theory based on a strong directional qualification, III: Semi-infinite optimization, SIAM J. Control Optim., 34 (1996), pp. 1151-1171, 1172-1189, and 1555-1567.
-
(1996)
SIAM J. Control Optim.
, vol.34
, pp. 1151-1171
-
-
Bonnans, J.F.1
Cominetti, R.2
-
6
-
-
85033948866
-
Sensitivity analysis of optimization problems under second order regular constraints
-
to appear
-
J. F. BONNANS, R. COMINETTI, AND A. SHAPIRO, Sensitivity analysis of optimization problems under second order regular constraints, Math. Oper. Res., to appear.
-
Math. Oper. Res.
-
-
Bonnans, J.F.1
Cominetti, R.2
Shapiro, A.3
-
7
-
-
0002510545
-
Second-order sufficiency and quadratic growth for non isolated minima
-
J. F. BONNANS AND A. D. IOFFE, Second-order sufficiency and quadratic growth for non isolated minima, Math. Oper. Res., 20 (1995), pp. 801-817.
-
(1995)
Math. Oper. Res.
, vol.20
, pp. 801-817
-
-
Bonnans, J.F.1
Ioffe, A.D.2
-
8
-
-
0002622005
-
Quadratic growth and stability in convex programming problems with multiple solutions
-
J. F. BONNANS AND A. D. IOFFE, Quadratic growth and stability in convex programming problems with multiple solutions, J. Convex Anal., 2 (1995), pp. 41-57.
-
(1995)
J. Convex Anal.
, vol.2
, pp. 41-57
-
-
Bonnans, J.F.1
Ioffe, A.D.2
-
9
-
-
0032096712
-
Optimization problems with perturbations: A guided tour
-
J. F. BONNANS AND A. SHAPIRO, Optimization problems with perturbations: A guided tour, SIAM Rev., 40 (1998), pp. 228-264.
-
(1998)
SIAM Rev.
, vol.40
, pp. 228-264
-
-
Bonnans, J.F.1
Shapiro, A.2
-
11
-
-
0026869921
-
Optimality conditions for non-finite valued convex composite functions
-
J. V. BURKE AND R. A. POLIQUIN, Optimality conditions for non-finite valued convex composite functions, Math. Programming, 57 (1992), pp. 103-120.
-
(1992)
Math. Programming
, vol.57
, pp. 103-120
-
-
Burke, J.V.1
Poliquin, R.A.2
-
12
-
-
0001303990
-
Metric regularity, tangent sets and second order optimality conditions
-
R. COMINETTI, Metric regularity, tangent sets and second order optimality conditions, Appl. Math. Optim., 21 (1990), pp. 265-287.
-
(1990)
Appl. Math. Optim.
, vol.21
, pp. 265-287
-
-
Cominetti, R.1
-
13
-
-
84966205531
-
On pseudo-differentiability
-
R. COMINETTI, On pseudo-differentiability, Trans. Amer. Math. Soc., 324 (1991), pp. 843-865.
-
(1991)
Trans. Amer. Math. Soc.
, vol.324
, pp. 843-865
-
-
Cominetti, R.1
-
16
-
-
0039661263
-
Semi-infinite programming: Conditions of optimality and applications
-
Würzburg, Part 2, J. Stoer, ed., Springer-Verlag, New York
-
R. P. HETTICH AND H. TH. JONGEN, Semi-infinite programming: Conditions of optimality and applications, in Optimization Techniques, Proc. 8th IFIP Conf. on Optimization Techniques, Würzburg, Part 2, J. Stoer, ed., Springer-Verlag, New York, 1977.
-
(1977)
Optimization Techniques, Proc. 8th IFIP Conf. on Optimization Techniques
-
-
Hettich, R.P.1
Jongen, H.T.H.2
-
18
-
-
0027657329
-
Semi-infinite programming: Theory, methods and applications
-
R. HETTICH AND K. O. KORTANEK, Semi-infinite programming: Theory, methods and applications, SIAM Rev., 35 (1993), pp. 380-429.
-
(1993)
SIAM Rev.
, vol.35
, pp. 380-429
-
-
Hettich, R.1
Kortanek, K.O.2
-
19
-
-
0018441518
-
Necessary and sufficient conditions for a local minimum. 3: Second order conditions and augmented duality
-
A. D. IOFFE, Necessary and sufficient conditions for a local minimum. 3: Second order conditions and augmented duality, SIAM J. Control Optim., 17 (1979), pp. 266-288.
-
(1979)
SIAM J. Control Optim.
, vol.17
, pp. 266-288
-
-
Ioffe, A.D.1
-
20
-
-
0002210562
-
On some recent developments in the theory of second order optimality conditions
-
S. Dolecki, ed., Springer-Verlag, Berlin
-
A. D. IOFFE, On some recent developments in the theory of second order optimality conditions, in Optimization, Lecture Notes in Math. 1405, S. Dolecki, ed., Springer-Verlag, Berlin, 1989, pp. 55-68.
-
(1989)
Optimization, Lecture Notes in Math.
, vol.1405
, pp. 55-68
-
-
Ioffe, A.D.1
-
21
-
-
0001599511
-
Variational analysis of a composite function: A formula for the lower second order epi-derivative
-
A. D. IOFFE, Variational analysis of a composite function: A formula for the lower second order epi-derivative, J. Math. Anal. Appl., 160 (1991), pp. 379-405.
-
(1991)
J. Math. Anal. Appl.
, vol.160
, pp. 379-405
-
-
Ioffe, A.D.1
-
22
-
-
0002997757
-
On sensitivity analysis of nonlinear programs in Banach spaces: The approach via composite unconstrained optimization
-
A. D. IOFFE, On sensitivity analysis of nonlinear programs in Banach spaces: The approach via composite unconstrained optimization, SIAM J. Optim., 4 (1994), pp. 1-43.
-
(1994)
SIAM J. Optim.
, vol.4
, pp. 1-43
-
-
Ioffe, A.D.1
-
23
-
-
0024011499
-
An envelope-like effect of infinitely many inequality constraints on second order necessary conditions for minimization problems
-
H. KAWASAKI, An envelope-like effect of infinitely many inequality constraints on second order necessary conditions for minimization problems, Math. Programming, 41 (1988), pp. 73-96.
-
(1988)
Math. Programming
, vol.41
, pp. 73-96
-
-
Kawasaki, H.1
-
24
-
-
0017001951
-
On the existence and nonexistence of lagrange multipliers in Banach spaces
-
S. KURCYUSZ, On the existence and nonexistence of Lagrange multipliers in Banach spaces, J. Optim. Theory Appl., 20 (1976), pp. 81-110.
-
(1976)
J. Optim. Theory Appl.
, vol.20
, pp. 81-110
-
-
Kurcyusz, S.1
-
25
-
-
0028500399
-
Nonsmooth optimum problems with constraints
-
ZS. PALES AND V. M. ZEIDAN, Nonsmooth optimum problems with constraints, SIAM J. Control Optim., 32 (1994), pp. 1476-1502.
-
(1994)
SIAM J. Control Optim.
, vol.32
, pp. 1476-1502
-
-
Pales, Zs.1
Zeidan, V.M.2
-
26
-
-
0039069183
-
-
Report 92/16, UPRA, Laboratoire de Math. Appl., Av. de l'Université, 64000 Pau, France
-
J. P. PENOT, Optimality Conditions for Minimax Problems, Semi-infinite Programming Problems and Their Relatives, Report 92/16, UPRA, Laboratoire de Math. Appl., Av. de l'Université, 64000 Pau, France, 1992.
-
(1992)
Optimality Conditions for Minimax Problems, Semi-infinite Programming Problems and Their Relatives
-
-
Penot, J.P.1
-
27
-
-
0000991424
-
Optimality conditions in mathematical programming and composite optimization
-
J. P. PENOT, Optimality conditions in mathematical programming and composite optimization, Math. Programming, 67 (1994), pp. 225-245.
-
(1994)
Math. Programming
, vol.67
, pp. 225-245
-
-
Penot, J.P.1
-
28
-
-
0016962866
-
First order conditions for general nonlinear optimization
-
S. M. ROBINSON, First order conditions for general nonlinear optimization, SIAM J. Appl. Math., 30 (1976), pp. 597-607.
-
(1976)
SIAM J. Appl. Math.
, vol.30
, pp. 597-607
-
-
Robinson, S.M.1
-
29
-
-
0016993914
-
Stability theory for systems of inequalities, Part II: Differentiable nonlinear systems
-
S. M. ROBINSON, Stability theory for systems of inequalities, Part II: Differentiable nonlinear systems, SIAM J. Numer. Anal., 13 (1976), pp. 497-513.
-
(1976)
SIAM J. Numer. Anal.
, vol.13
, pp. 497-513
-
-
Robinson, S.M.1
-
30
-
-
0016952838
-
Regularity and stability for convex multivalued functions
-
S. M. ROBINSON, Regularity and stability for convex multivalued functions, Math. Oper. Res., 1 (1976), pp. 130-143.
-
(1976)
Math. Oper. Res.
, vol.1
, pp. 130-143
-
-
Robinson, S.M.1
-
31
-
-
0004267646
-
-
Princeton University Press, Princeton, NJ
-
R. T. ROCKAFELLAR, Convex Analysis, Princeton University Press, Princeton, NJ, 1970.
-
(1970)
Convex Analysis
-
-
Rockafellar, R.T.1
-
32
-
-
0003350183
-
Conjugate duality and optimization
-
SIAM, Philadelphia, PA
-
R. T. ROCKAFELLAR, Conjugate Duality and Optimization, CBMS-NSF Regional Conference Series in Applied Mathematics 16, SIAM, Philadelphia, PA, 1974.
-
(1974)
CBMS-NSF Regional Conference Series in Applied Mathematics
, vol.16
-
-
Rockafellar, R.T.1
-
33
-
-
84966228167
-
First and second-order epi-differentiability in nonlinear programming
-
R. T. ROCKAFELLAR, First and second-order epi-differentiability in nonlinear programming, Trans. Amer. Math. Soc., 307 (1988), pp. 75-108.
-
(1988)
Trans. Amer. Math. Soc.
, vol.307
, pp. 75-108
-
-
Rockafellar, R.T.1
-
34
-
-
0000331856
-
Second-order optimality conditions in nonlinear programming obtained by way of epi-derivatives
-
R. T. ROCKAFELLAR, Second-order optimality conditions in nonlinear programming obtained by way of epi-derivatives, Math. Oper. Res., 14 (1989), pp. 462-484.
-
(1989)
Math. Oper. Res.
, vol.14
, pp. 462-484
-
-
Rockafellar, R.T.1
-
35
-
-
0002173647
-
Nonsmooth analysis and parametric optimization
-
A. Cellina, ed., Springer-Verlag, Berlin
-
R. T. ROCKAFELLAR, Nonsmooth analysis and parametric optimization, in Methods of Nonconvex Analysis, Lecture Notes in Math. 1446, A. Cellina, ed., Springer-Verlag, Berlin, 1990, pp. 137-151.
-
(1990)
Methods of Nonconvex Analysis, Lecture Notes in Math.
, vol.1446
, pp. 137-151
-
-
Rockafellar, R.T.1
-
37
-
-
0022068733
-
Second-order derivatives of extremal-value functions and optimality conditions for semi-infinite programs
-
A. SHAPIRO, Second-order derivatives of extremal-value functions and optimality conditions for semi-infinite programs, Math. Oper. Res., 10 (1985), pp. 207-219.
-
(1985)
Math. Oper. Res.
, vol.10
, pp. 207-219
-
-
Shapiro, A.1
-
38
-
-
0000859735
-
Perturbation theory of nonlinear programs when the set of optimal solutions is not a singleton
-
A. SHAPIRO, Perturbation theory of nonlinear programs when the set of optimal solutions is not a singleton, Appl. Math. Optim., 18 (1988), pp. 215-229.
-
(1988)
Appl. Math. Optim.
, vol.18
, pp. 215-229
-
-
Shapiro, A.1
-
39
-
-
0007282005
-
On lipschitzian stability of optimal solutions of parametrized semi-infinite programs
-
A. SHAPIRO, On Lipschitzian stability of optimal solutions of parametrized semi-infinite programs, Math. Oper. Res., 19 (1994), pp. 743-752.
-
(1994)
Math. Oper. Res.
, vol.19
, pp. 743-752
-
-
Shapiro, A.1
-
40
-
-
0000496360
-
On eigenvalue optimization
-
A. SHAPIRO AND M. K. H. FAN, On eigenvalue optimization, SIAM J. Optim., 5 (1995), pp. 552-569.
-
(1995)
SIAM J. Optim.
, vol.5
, pp. 552-569
-
-
Shapiro, A.1
Fan, M.K.H.2
-
41
-
-
0031139858
-
First and second order analysis of nonlinear semidefinite programs
-
A. SHAPIRO, First and second order analysis of nonlinear semidefinite programs, Math. Programming, Series B, 77 (1997), pp. 301-320.
-
(1997)
Math. Programming, Series B
, vol.77
, pp. 301-320
-
-
Shapiro, A.1
-
42
-
-
0001012728
-
Multifunctions with convex closed graph
-
C. URSESCU, Multifunctions with convex closed graph, Czechoslovak Math. J., 25 (1975), pp. 438-441.
-
(1975)
Czechoslovak Math. J.
, vol.25
, pp. 438-441
-
-
Ursescu, C.1
-
43
-
-
0030106462
-
Semidefinite programming
-
L. VANDENBERGHE AND S. BOYD, Semidefinite programming, SIAM Rev., 38 (1996), pp. 49-95.
-
(1996)
SIAM Rev.
, vol.38
, pp. 49-95
-
-
Vandenberghe, L.1
Boyd, S.2
-
44
-
-
0000860113
-
Definitheitsbedingungen fürrelative extrema bei optimieungs- und approximation-saufgaben
-
W. WETTERLING, Definitheitsbedingungen fürrelative Extrema bei Optimieungs- und Approximation-saufgaben, Numer. Math., 15 (1879), pp. 122-136.
-
(1879)
Numer. Math.
, vol.15
, pp. 122-136
-
-
Wetterling, W.1
-
45
-
-
0002800189
-
Regularity and stability for the mathematical programming problem in Banach spaces
-
J. ZOWE AND S. KURCYUSZ, Regularity and stability for the mathematical programming problem in Banach spaces, Appl. Math. Optim., 5 (1979), pp. 49-62.
-
(1979)
Appl. Math. Optim.
, vol.5
, pp. 49-62
-
-
Zowe, J.1
Kurcyusz, S.2
|