Results 221 to 230 of about 11,355 (263)

Second-Order Global Optimality Conditions for Optimization Problems

Journal of Global Optimization, 2004
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Alternative Second-Order Conditions in Constrained Optimization

Journal of Optimization Theory and Applications, 2001
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Weiss, H., Ben-Asher, J. Z.
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Second-Order Sufficient Conditions in Nonsmooth Optimization

Mathematics of Operations Research, 1988
Second-order conditions are given which are sufficient to guarantee that a given point be a local solution to certain types of finite-dimensional nonsmooth nonlinear programming problems. Both unconstrained and constrained problems are considered.
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Second-order Optimality Conditions for Nonsmooth Multiobjective Optimization Problems

SSRN Electronic Journal, 2002
In this paper second-order necessary optimality conditions for nonsmooth vector optimization problems are given by smooth approximations. We extend to the vector case the approach introduced by Ermoliev, Norkin and Wets to define generalized derivatives for discontinuous functions as limit of the classical derivatives of regular functions.
G. P. Crespi, D. La Torre, M. Rocca
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Second Order Optimality Conditions

2004
In this chapter we obtain second order necessary optimality conditions for control problems. As we know, geometrically the study of optimality reduces to the study of boundary of attainable sets (see Sect. 10.2). Consider a control system $$\dot q = {f_u}(q),q \in M,u \in U = \operatorname{int} U \subset {R^m},$$ (20.1) where the state space ...
Andrei A. Agrachev, Yuri L. Sachkov
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Second-Order Optimality Conditions for Constrained Domain Optimization

Journal of Optimization Theory and Applications, 2007
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Second-Order Optimality Conditions for Multiobjective Optimization Whose Order Induced by Second-Order Cone

Journal of the Operations Research Society of China, 2018
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Zhang, Li-Wei, Zhang, Ji-Hong, Zhang, Yu-Le   +2 more
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Second-Order Conditions for Optimization Problems with Constraints

SIAM Journal on Control and Optimization, 1998
The author obtains necessary or sufficient second-order optimality conditions for constrained optimization problems. The main novelty is to work in a projective space (space of directions), which allows to improve the known results.
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Second-order necessary conditions in semismooth optimization

Mathematical Programming, 1988
This is the second in a series of four closely related papers by the same author. These works introduce a new concept of second-order directional derivative for nonsmooth functions, and demonstrate its applicability to the study of necessary and sufficient conditions for optimality in finite-dimensional mathematical programming.
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Second-order optimality conditions for minimizing a maxfunction

Science in China Series A: Mathematics, 2000
The authors consider the problem of minimizing the function \(h(x):=\max\{f(x,\tau)\mid \tau \in T\}\), where \(x\in R^{p}\), \(T\) is a compact metric space and the function \(f(\cdot ,\tau)\) is \(C^{2}\). Second-order necessary optimality conditions are obtained by using second-order directional derivatives of Chaney and Ben-Tal/Zowe of \(h\). These
Huang, Liren, Ng, K. F.
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