Decompositions of compact convex sets.
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Pallaschke, Diethard, Urbański, Ryszard (1997)
Journal of Convex Analysis
Dušan Bednařík, Karel Pastor (2009)
RAIRO - Operations Research
In the paper we generalize sufficient and necessary optimality conditions obtained by Ginchev, Guerraggio, Rocca, and by authors with the help of the notion of ℓ-stability for vector functions.
Reiner Horst (1977)
Jahresbericht der Deutschen Mathematiker-Vereinigung
K.M. Brown, J.E. jr. Dennis (1971/1972)
Numerische Mathematik
Aldina Correia, João Matias, Pedro Mestre, Carlos Serodio (2010)
International Journal of Applied Mathematics and Computer Science
The filter method is a technique for solving nonlinear programming problems. The filter algorithm has two phases in each iteration. The first one reduces a measure of infeasibility, while in the second the objective function value is reduced. In real optimization problems, usually the objective function is not differentiable or its derivatives are unknown. In these cases it becomes essential to use optimization methods where the calculation of the derivatives or the verification of their existence...
Jean-Louis NICOLAS (1972/1973)
Seminaire de Théorie des Nombres de Bordeaux
Jean-Louis Nicolas (1972/1973)
Séminaire Delange-Pisot-Poitou. Théorie des nombres
Claude-Alain Burdet (1970)
RAIRO - Operations Research - Recherche Opérationnelle
M. Beghin-Picavet, P. Hansen (1982)
RAIRO - Operations Research - Recherche Opérationnelle
H. Edelsbrunner, B. Chazelle, M. Sharir, L. Guibas (1993)
Discrete & computational geometry
Yaoyao He, Jianzhong Zhou, Ning Lu, Hui Qin, Youlin Lu (2010)
Kybernetika
Differential evolution algorithm combined with chaotic pattern search(DE-CPS) for global optimization is introduced to improve the performance of simple DE algorithm. Pattern search algorithm using chaotic variables instead of random variables is used to accelerate the convergence of solving the objective value. Experiments on 6 benchmark problems, including morbid Rosenbrock function, show that the novel hybrid algorithm is effective for nonlinear optimization problems in high dimensional space....
J. Gauvin, R. Janin (1989)
Annales de l'I.H.P. Analyse non linéaire
Milojica Jaćimović, Fedor Pavlovič Vasiljev (1992)
The Yugoslav Journal of Operations Research
Aggarwal, S.P., Patkar, V.N. (1978)
Portugaliae mathematica
Song Wen (1998)
Tran Quoc Chien (1984)
Kybernetika
Halická, M., Hamala, M. (1996)
Acta Mathematica Universitatis Comenianae. New Series
Shyam S. Chadha (1988)
Trabajos de Investigación Operativa
Duality of linear programming is used to establish an important duality theorem for a class of non-linear programming problems. Primal problem has quasimonotonic objective function and a convex polyhedron as its constraint set.
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