-
1
-
-
84966207660
-
Differentiability of the metric projection in finite dimensional Euclidean space
-
E. Asplund, Differentiability of the metric projection in finite dimensional Euclidean space. Proc. Amer. Math. Soc. 38 (1973) 218-219.
-
(1973)
Proc. Amer. Math. Soc.
, vol.38
, pp. 218-219
-
-
Asplund, E.1
-
2
-
-
0016990134
-
Estimates of the duality gap in nonconvex optimization
-
J.-P. Aubin and I. Ekeland, Estimates of the duality gap in nonconvex optimization, Math. Oper. Res. 1 (1976) 225-245.
-
(1976)
Math. Oper. Res.
, vol.1
, pp. 225-245
-
-
Aubin, J.-P.1
Ekeland, I.2
-
3
-
-
0040407032
-
Sequential convexification in reverse convex and disjunctive programming
-
E. Balas, J.M. Tama and J. Tind, Sequential convexification in reverse convex and disjunctive programming, Math. Prog. 44 (1989) 337-350.
-
(1989)
Math. Prog.
, vol.44
, pp. 337-350
-
-
Balas, E.1
Tama, J.M.2
Tind, J.3
-
4
-
-
0015160689
-
Generalized cutting plane algorithm
-
B.C. Eaves and W.I. Zangwill, Generalized cutting plane algorithm, SIAM J. Control 9 (1971) 529-542.
-
(1971)
SIAM J. Control
, vol.9
, pp. 529-542
-
-
Eaves, B.C.1
Zangwill, W.I.2
-
6
-
-
84972497490
-
On functions representable as a difference of convex functions
-
P. Hartman, On functions representable as a difference of convex functions, Pacific J. Math. 9 (1959) 707-713.
-
(1959)
Pacific J. Math.
, vol.9
, pp. 707-713
-
-
Hartman, P.1
-
7
-
-
0001780949
-
Generalized differentiability, duality and optimization for problems dealing with differences of convex functions
-
J. Ponstain, ed., Springer, New York
-
J.B. Hiriart-Urruty, Generalized differentiability, duality and optimization for problems dealing with differences of convex functions, in: J. Ponstain, ed., Lectures Notes in Economics and Mathematical Systems, Vol. 256 (Springer, New York, 1984) 37-70.
-
(1984)
Lectures Notes in Economics and Mathematical Systems
, vol.256
, pp. 37-70
-
-
Hiriart-Urruty, J.B.1
-
8
-
-
0041001171
-
Conditions necessaires et suffisantes d'optimalite globale en optimization de differences de deux fonctions convexes
-
J.B. Hiriart-Urruty, Conditions necessaires et suffisantes d'optimalite globale en optimization de differences de deux fonctions convexes, C.R. Acad. Sci. Paris 309 (1989) 459-462.
-
(1989)
C.R. Acad. Sci. Paris
, vol.309
, pp. 459-462
-
-
Hiriart-Urruty, J.B.1
-
10
-
-
0024731721
-
Optimization of globally convex functions
-
T.C. Hu, V. Klee and D. Larman, Optimization of globally convex functions, SIAM Control Optim. 27 (1989) 1026-1047.
-
(1989)
SIAM Control Optim.
, vol.27
, pp. 1026-1047
-
-
Hu, T.C.1
Klee, V.2
Larman, D.3
-
11
-
-
0037627152
-
-
North-Holland, Amsterdam, A translation from the Russian edition NAUKA, Moscow, 1974
-
A.D. Ioffe and V.M. Tikhomirov, Theory of External Problems (North-Holland, Amsterdam, 1979). (A translation from the Russian edition NAUKA, Moscow, 1974.)
-
(1979)
Theory of External Problems
-
-
Ioffe, A.D.1
Tikhomirov, V.M.2
-
13
-
-
0024050952
-
Approximation and decomposition properties of some classes of locally d.c. functions
-
J.-P. Penot and M.L. Bougeard, Approximation and decomposition properties of some classes of locally d.c. functions. Math. Prog. 41 (1988) 195-227.
-
(1988)
Math. Prog.
, vol.41
, pp. 195-227
-
-
Penot, J.-P.1
Bougeard, M.L.2
-
14
-
-
0004267646
-
-
Princeton University Press, Princeton, NJ
-
R.T. Rockafellar, Convex Analysis (Princeton University Press, Princeton, NJ, 1970).
-
(1970)
Convex Analysis
-
-
Rockafellar, R.T.1
-
15
-
-
0018753828
-
Maximization of lower semi-continuous convex functional on bounded subsets of locally convex spaces I: Hyperplane theorems
-
I. Singer, Maximization of lower semi-continuous convex functional on bounded subsets of locally convex spaces I: Hyperplane theorems, Appl. Math. Optim. 5 (1979) 349-362.
-
(1979)
Appl. Math. Optim.
, vol.5
, pp. 349-362
-
-
Singer, I.1
-
16
-
-
85047103342
-
D.c. sets, d.c. functions and nonlinear equations
-
P.T. Thach, D.c. sets, d.c. functions and nonlinear equations. Math. Prog. 58 (1987) 415-428.
-
(1987)
Math. Prog.
, vol.58
, pp. 415-428
-
-
Thach, P.T.1
-
17
-
-
0001515574
-
Quasiconjugates of functions and duality relationship between quasi-convex minimization under a reverse convex constraint and quasiconvex maximization under a convex constraint, and applications
-
P.T. Thach, Quasiconjugates of functions and duality relationship between quasi-convex minimization under a reverse convex constraint and quasiconvex maximization under a convex constraint, and applications. J. Math. Anal. Appl. 159 (1991) 299-322.
-
(1991)
J. Math. Anal. Appl.
, vol.159
, pp. 299-322
-
-
Thach, P.T.1
-
18
-
-
0008984095
-
Duality in nonconvex optimization
-
J.F. Toland, Duality in nonconvex optimization. J. Math. Anal. Appl. 66 (1978) 399-415.
-
(1978)
J. Math. Anal. Appl.
, vol.66
, pp. 399-415
-
-
Toland, J.F.1
-
19
-
-
0020702691
-
Global minimization of a difference of two convex functions
-
H. Tuy, Global minimization of a difference of two convex functions. Math. Prog. Study 30 (1987) 150-182.
-
(1987)
Math. Prog. Study
, vol.30
, pp. 150-182
-
-
Tuy, H.1
-
21
-
-
0000371910
-
Strong and weak convexity of sets and functions
-
J.-P. Vial, Strong and weak convexity of sets and functions, Math. Oper. Res. 8 (1983) 231-259.
-
(1983)
Math. Oper. Res.
, vol.8
, pp. 231-259
-
-
Vial, J.-P.1
-
22
-
-
0039049538
-
Efficient algorithms for solving rank two and rank three bilinear programming problems
-
Y. Yajima and H. Konno, Efficient algorithms for solving rank two and rank three bilinear programming problems, J. Global Optimization 1 (1991) 65-82.
-
(1991)
J. Global Optimization
, vol.1
, pp. 65-82
-
-
Yajima, Y.1
Konno, H.2
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