Newton-Kantorovich method and its global convergence.
Polyak, B.T. (2004)
Journal of Mathematical Sciences (New York)
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Polyak, B.T. (2004)
Journal of Mathematical Sciences (New York)
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Kusraev, A.G., Kutateladze, S.S. (2004)
Journal of Mathematical Sciences (New York)
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Kruk, Serge, Wolkowicz, Henry (2003)
Journal of Applied Mathematics
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D. Den Hertog, C. Roos, T. Terlaky (1994)
RAIRO - Operations Research - Recherche Opérationnelle
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Richard Andrášik (2013)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Nonlinear rescaling is a tool for solving large-scale nonlinear programming problems. The primal-dual nonlinear rescaling method was used to solve two quadratic programming problems with quadratic constraints. Based on the performance of primal-dual nonlinear rescaling method on testing problems, the conclusions about setting up the parameters are made. Next, the connection between nonlinear rescaling methods and self-concordant functions is discussed and modified logarithmic barrier...
Dontchev, Asen (1996)
Serdica Mathematical Journal
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* This work was supported by National Science Foundation grant DMS 9404431. In this paper we prove that the Newton method applied to the generalized equation y ∈ f(x) + F(x) with a C^1 function f and a set-valued map F acting in Banach spaces, is locally convergent uniformly in the parameter y if and only if the map (f +F)^(−1) is Aubin continuous at the reference point. We also show that the Aubin continuity actually implies uniform Q-quadratic convergence provided that...
Harbir Antil, Ronald Hoppe, Christopher Linsenmann (2008)
Control and Cybernetics
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L. M. Graña Drummond, Alfredo Noel Iusem, B. F. Svaiter (2000)
RAIRO - Operations Research - Recherche Opérationnelle
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Gérard Berthiau, Patrick Siarry (2010)
RAIRO - Operations Research
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We present a review of the main “global optimization" methods. The paper comprises one introduction and two parts. In the introduction, we recall some generalities about non linear constraint-less optimization and we list some classifications which have been proposed for the global optimization methods. We then describe, in the first part, various “classical" global optimization methods, most of which available long before the appearance of Simulated Annealing (a key event in this...
Tadeusz Antczak (2007)
Control and Cybernetics
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