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Some remarks on the construction of higher order algorithms in convex optimization. (English) Zbl 0527.65042

MSC:
65K05 Numerical mathematical programming methods
90C25 Convex programming
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[1] Ben-Tal A, Zowe J (1982) Necessary and sufficient optimality conditions for a class of nonsmooth minimization problems. Math Programming 24:70-91 · Zbl 0488.90059
[2] Hiriart-Urruty JB (to appear) Limiting behaviour of the approximate first order and second order directional derivatives for a convex function. In: Nonlinear analysis: Theory, methods, and applications · Zbl 0536.26007
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[4] Laurent P-J (1972) Approximation et optimisation. Hermann, Paris · Zbl 0238.90058
[5] Lemarechal C (1978) Bundle methods in nonsmooth optimisation. In: Lemaréchal C, Mifflin (eds) Nonsmooth optimization. Pergamon Press · Zbl 0398.90088
[6] Moreau JJ (1966-67) Fonctionelles convexes (Séminaires sur les équations aux dérivées partielles II). Collège de France, Paris
[7] Pchenichnyi B (1970) Necessary conditions for an extremum. Marcel Dekker, New York
[8] Rockafellar, RT (1970) Convex analysis. Princeton University Press, Princeton NJ · Zbl 0193.18401
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