Conditions for Global Optimality 2

Authors:
Jean-Baptiste Hiriart-Urruty
Affiliations:
Université Paul Sabatier, Toulouse, France
Venue:
Journal of Global Optimization
Year:
1998

Citing 6
Cited 10

On a subproblem of trust region algorithms for constrained optimization

Mathematical Programming: Series A and B
Using copositivity for global optimality criteria in concave quadratic programming problems

Mathematical Programming: Series A and B
A semidefinite framework for trust region subproblems with applications to large scale minimization

Mathematical Programming: Series A and B
Optimality Conditions for the Minimization of a Quadratic with Two Quadratic Constraints

SIAM Journal on Optimization
A Generic Global Optimization Algorithmfor the Chemical and Phase EquilibriumProblem

Journal of Global Optimization
Difference of convex functions optimization algorithms (DCA) for globally minimizing nonconvex quadratic forms on Euclidean balls and spheres

Operations Research Letters

Global Optimality Conditions in Maximizing a Convex Quadratic Function under Convex Quadratic Constraints

Journal of Global Optimization
Mathematical properties of optimization problems defined by positively homgeneous functions

Journal of Optimization Theory and Applications
Global Optimization by Monotonic Transformation

Computational Optimization and Applications
Sufficient global optimality conditions for weakly convex minimization problems

Journal of Global Optimization
Necessary and sufficient global optimality conditions for NLP reformulations of linear SDP problems

Journal of Global Optimization
Global optimality conditions for cubic minimization problem with box or binary constraints

Journal of Global Optimization
Some issues of search of extremal processes in nonconvex problems of optimal control

Automation and Remote Control
On zero duality gap in nonconvex quadratic programming problems

Journal of Global Optimization
Clustering and the perturbed spatial median

Mathematical and Computer Modelling: An International Journal
A new necessary and sufficient global optimality condition for canonical DC problems

Journal of Global Optimization

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Abstract

In this paper bearing the same title as our earlier survey-paper[11] we pursue the goal of characterizing the global solutions of anoptimization problem, i.e. getting at necessary and sufficient conditionsfor a feasible point to be a global minimizer (or maximizer) of theobjective function. We emphasize nonconvex optimization problems presentingsome specific structures like ’convex-anticonvex‘ ones or quadratic ones.