Results 11 to 20 of about 195,148 (324)
Second-order optimality conditions for nonlinear programs and mathematical programs [PDF]
Journal of Inequalities and Applications, 2017 It is well known that second-order information is a basic tool notably in optimality conditions and numerical algorithms. In this work, we present a generalization of optimality conditions to strongly convex functions of order γ with the help of first ...
Ikram Daidai
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Maximum Principle and Second-Order Optimality Conditions in Control Problems with Mixed Constraints [PDF]
Axioms, 2022 This article concerns the optimality conditions for a smooth optimal control problem with an endpoint and mixed constraints. Under the normality assumption, which corresponds to the full-rank condition of the associated controllability matrix, a simple ...
Aram V. Arutyunov +2 more
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Necessary Conditions of Optimality for Second-Order Nonlinear Impulsive Differential Equations [PDF]
Advances in Difference Equations, 2007 We discuss the existence of optimal controls for a Lagrange problem of systems governed by the second-order nonlinear impulsive differential equations in infinite dimensional spaces.
Y. Peng, X. Xiang, W. Wei
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SECOND ORDER OPTIMALITY CONDITIONS
Доклады Белорусского государственного университета информатики и радиоэлектроники, 2019 Nonlinear programming problems are studied. Necessary second order optimality conditions are proved under minimal assumptions about constraints.
A. E. Leschov, L. I. Minchenko
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On a Conjecture in Second-Order Optimality Conditions [PDF]
Journal of Optimization Theory and Applications, 2018 In this paper we deal with optimality conditions that can be verified by a nonlinear optimization algorithm, where only a single Lagrange multiplier is avaliable. In particular, we deal with a conjecture formulated in [R. Andreani, J.M. Martinez, M.L.
Roger Behling +3 more
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Mollified Derivatives and Second-order Optimality Conditions
SSRN Electronic Journal, 2003 The authors provide new generalized differentiability notions of first and of second-order for integrable (not necessary continuous) functions \(f:\mathbb{R}^m \to\mathbb{R}\) by means of families of so-called mollifiers and associated sequences of mollified functions.
Davide La Torre +2 more
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Second order optimality conditions for differentiable multiobjective problems [PDF]
RAIRO - Operations Research, 2000 Summary: A secood order optimality condition for multiobjective optimization with a set constraints is developed; this condition is expressed as the impossibility of nonhomogeneous linear systems. When the constraint is given in terms of inequalities and equalities, it can be turned into a John type multipliers rule, using a nonhomogeneous Motzkin ...
Giancarlo Bigi, Marco Castellani
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Second-Order KKT Optimality Conditions for MultiObjective Optimal Control Problems [PDF]
SIAM Journal on Control and Optimization, 2018 34 ...
Kien, Bui Trong +2 more
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On second-order optimality conditions in nonlinear optimization
Optimization Methods and Software, 2016 In this work we present new weak conditions that ensure the validity of necessary second-order optimality conditions SOC for nonlinear optimization. We are able to prove that weak and strong SOCs hold for all Lagrange multipliers using Abadie-type assumptions.
Roberto Andreani +3 more
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Second-order optimality conditions for non-convex set-constrained optimization problems [PDF]
Mathematics of Operations Research, 2019 In this paper, we study second-order optimality conditions for nonconvex set-constrained optimization problems. For a convex set-constrained optimization problem, it is well known that second-order optimality conditions involve the support function of the second-order tangent set.
Helmut Gfrerer +2 more
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