Results 11 to 20 of about 17,832 (262)
SIAM Journal on Optimization, 2009 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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Mathematics, 2021 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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Optimality Conditions in Quasidifferentiable Vector Optimization [PDF]
Journal of Optimization Theory and Applications, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Global Optimality Conditions for Nonlinear Programming Problems with Linear Equality Constraints
Journal of Applied Mathematics, 2014 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
Journal of Inequalities and Applications, 2019 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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Optimality Conditions for Constrained Minimax Optimization
CSIAM Transactions on Applied Mathematics, 2020 17 ...
Dai, Yu-Hong, Zhang, Liwei
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Optimality Conditions for the Principle of Trajectory Division
Engineering Proceedings, 2023 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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Kuhn-Tucker Optimality Conditions for Vector Equilibrium Problems
Journal of Inequalities and Applications, 2010 By using the concept of Fréchet differentiability of mapping, we present the Kuhn-Tucker optimality conditions for weakly efficient solution, Henig efficient solution, superefficient solution, and globally efficient solution to the vector ...
Wei Zhen-Fei, Gong Xun-Hua
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Optimality Conditions for ε-Vector Equilibrium Problems
Abstract and Applied Analysis, 2014 By virtue of the separation theorem of convex sets, a necessary condition and a sufficient condition for ε-vector equilibrium problem with constraints are obtained. Then, by using the Gerstewitz nonconvex separation functional, a necessary and sufficient
Lu Wei-zhong, Huang Shou-jun, Yang Jun
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Optimality Conditions for Group Sparse Constrained Optimization Problems
Mathematics, 2021 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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