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In the traditional nonlinear optimization theory, the Karush-Kuhn-Tucker (KKT) optimality conditions for constrained optimization problems with inequality constraints play an essential role.
Md Sadikur Rahman +4 more
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In this paper we study the problem of minimizing condition numbers over a compact convex subset of the cone of symmetric positive semidefinite $n\times n$ matrices. We show that the condition number is a Clarke regular strongly pseudoconvex function. We prove that a global solution of the problem can be approximated by an exact or an inexact solution ...
Pierre Maréchal, Jane J. Ye
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Second-Order Karush-Kuhn-Tucker Optimality Conditions for Vector Problems with Continuously Differentiable Data and Second-Order Constraint Qualifications [PDF]
Some necessary and sufficient optimality conditions for inequality constrained problems with continuously differentiable data were obtained in the papers [I. Ginchev and V.I. Ivanov, Second-order optimality conditions for problems with C$\sp{1}$ data, J.
Ivanov, Vsevolod I.
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Some Optimal Conditions for the ASCLT
AbstractLet $$X_{1},X_{2},\ldots $$ X 1 , X 2 , … be independent ...
Berkes, István, Siegfried, Hörmann
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Optimality Conditions for the Principle of Trajectory Division
This paper considers the problem of controlling a mobile robot in the presence of circular obstacles. To solve this problem, it is proposed to use the previously suggested principle of dividing permissible trajectories into a sequence of rectilinear ...
Valentin Bereznev
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Optimality Conditions for Group Sparse Constrained Optimization Problems
In this paper, optimality conditions for the group sparse constrained optimization (GSCO) problems are studied. Firstly, the equivalent characterizations of Bouligand tangent cone, Clarke tangent cone and their corresponding normal cones of the group ...
Wenying Wu, Dingtao Peng
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Optimality Conditions in Quasidifferentiable Vector Optimization [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Optimality Conditions for Constrained Minimax Optimization
17 ...
Dai, Yu-Hong, Zhang, Liwei
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Global Optimality Conditions for Nonlinear Programming Problems with Linear Equality Constraints
Some necessary global optimality conditions and sufficient global optimality conditions for nonconvex minimization problems with a quadratic inequality constraint and a linear equality constraint are derived.
Guoquan Li, Yan Wang
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Optimality conditions for interval-valued univex programming
We introduce concepts of interval-valued univex mappings, consider optimization conditions for interval-valued univex functions for the constrained interval-valued minimization problem, and show examples for the illustration purposes.
Lifeng Li, Jianke Zhang, Chang Zhou
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