Results 11 to 20 of about 32,948 (308)
SECOND ORDER OPTIMALITY CONDITIONS [PDF]
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
doaj +1 more source
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
openaire +3 more sources
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
doaj +1 more source
Optimality Conditions in Quasidifferentiable Vector Optimization [PDF]
Journal of Optimization Theory and Applications, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
Optimality Conditions for Constrained Minimax Optimization
CSIAM Transactions on Applied Mathematics, 2020 17 ...
Dai, Yu-Hong, Zhang, Liwei
openaire +4 more sources
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
doaj +1 more source
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
doaj +1 more source
Network optimality conditions [PDF]
, 2023 Optimality conditions for optimal control problems arising in network modeling are discussed. We confine ourselves to the steady state network models. Therefore, we consider only control systems described by ordinary differential equations.
Osmolovskii, Nikolai P. +2 more
core +3 more sources
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
doaj +1 more source
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
doaj +1 more source