In this article we develop a global optimization algorithm for quasiconvex programming where the objective function is a Lipschitz function which may have "flat parts". We adapt the Extended Cutting Angle method to quasiconvex functions, which reduces significantly the number of iterations and objective function evaluations, and consequently the total computing time. Applications of such an algorithm to mathematical programming problems inwhich the objective function is derived from economic systems and location problems are described. Computational results are presented
In this paper, we characterize pseudoconvex functions using an abstract subdifferential. As applicat...
The paper deals with combinations of the cutting angle method in global optimization and a local sea...
Abstract. A branch and bound global optimization method, BB, for general continuous optimization pro...
grams of which the objective is given by the ratio of a convex by a positive (over a convex domain) ...
Methods of Lipschitz optimization allow one to find and confirm the global minimum of multivariate L...
Numerical methods of mathematical programming are considered in the paper aiming at the algorithm de...
Cutting angle method (CAM) is a deterministic global optimization technique applicable to Lipschitz ...
Lower approximation of Lipschitz functions plays an important role in deterministic global optimizat...
AbstractWe study the behavior of subgradient projections algorithms for the quasiconvex feasibility ...
This paper introduces an innovative extension of the DIRECT algorithm specifically designed to solve...
International audienceWe propose a relaxed-inertial proximal point type algorithm for solving optimi...
In the light of Plastria’s lower subdifferential, Eremin’s projection algorithms for solving the qua...
We study the behavior of subgradient projections algorithms for the quasiconvex feasibility problem ...
In this paper a new algorithm for minimizing locally Lipschitz functions is developed. Descent direc...
Nondifferentiable quasiconvex programming problems are studied using Clarke's subgradients. Several ...
In this paper, we characterize pseudoconvex functions using an abstract subdifferential. As applicat...
The paper deals with combinations of the cutting angle method in global optimization and a local sea...
Abstract. A branch and bound global optimization method, BB, for general continuous optimization pro...
grams of which the objective is given by the ratio of a convex by a positive (over a convex domain) ...
Methods of Lipschitz optimization allow one to find and confirm the global minimum of multivariate L...
Numerical methods of mathematical programming are considered in the paper aiming at the algorithm de...
Cutting angle method (CAM) is a deterministic global optimization technique applicable to Lipschitz ...
Lower approximation of Lipschitz functions plays an important role in deterministic global optimizat...
AbstractWe study the behavior of subgradient projections algorithms for the quasiconvex feasibility ...
This paper introduces an innovative extension of the DIRECT algorithm specifically designed to solve...
International audienceWe propose a relaxed-inertial proximal point type algorithm for solving optimi...
In the light of Plastria’s lower subdifferential, Eremin’s projection algorithms for solving the qua...
We study the behavior of subgradient projections algorithms for the quasiconvex feasibility problem ...
In this paper a new algorithm for minimizing locally Lipschitz functions is developed. Descent direc...
Nondifferentiable quasiconvex programming problems are studied using Clarke's subgradients. Several ...
In this paper, we characterize pseudoconvex functions using an abstract subdifferential. As applicat...
The paper deals with combinations of the cutting angle method in global optimization and a local sea...
Abstract. A branch and bound global optimization method, BB, for general continuous optimization pro...