Results 11 to 20 of about 239,850 (285)

A Theoretical Framework for Optimality Conditions of Nonlinear Type-2 Interval-Valued Unconstrained and Constrained Optimization Problems Using Type-2 Interval Order Relations

open access: yesMathematics, 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

Optimizing Condition Numbers

open access: yesSIAM 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

Second-Order Karush-Kuhn-Tucker Optimality Conditions for Vector Problems with Continuously Differentiable Data and Second-Order Constraint Qualifications [PDF]

open access: yes, 2014
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.
core   +1 more source

Some Optimal Conditions for the ASCLT

open access: yesJournal of Theoretical Probability, 2023
AbstractLet $$X_{1},X_{2},\ldots $$ X 1 , X 2 , … be independent ...
Berkes, István, Siegfried, Hörmann
openaire   +3 more sources

Optimality Conditions for the Principle of Trajectory Division

open access: yesEngineering 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 Group Sparse Constrained Optimization Problems

open access: yesMathematics, 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
doaj   +1 more source

Optimality Conditions in Quasidifferentiable Vector Optimization [PDF]

open access: yesJournal 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

open access: yesCSIAM 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

open access: yesJournal 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

open access: yesJournal 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

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