A smoothing projected Newton-type algorithm for semi-infinite programming

A Truncated Projected Newton-Type Algorithm for Large-Scale Semi-infinite Programming

In this paper, a truncated projected Newton-type algorithm is presented for solving large-scale semi-infinite programming problems. This is a hybrid method of a truncated projected Newton direction and a modified projected gradient direction. The truncated projected Newton method is used to solve the constrained nonlinear system. In order to guarantee global convergence, a robust loss function ...

A Smoothing Newton Method for Semi-Infinite Programming

A projected lagrangian algorithm for semi-infinite programming

A globally convergent algorithm is presented for the solution of a wide class of semi-infinite programming problems. The method is based on the solution of a sequence of equality constrained quadratic programming problems, and usually has a second order convergence rate. Numerical results illustrating the effectiveness of the method are given.

A parallel algorithm for semi-infinite programming

The implementation results of an algorithm designed to solve semi-in&nite programming problems are reported. Due to its computational intensity, parallelisation is used in two stages of the algorithm—for evaluating the global optimum and for checking the feasibility of constraints. The algorithms are parallelised using MPI—the message passing interface. The algorithms are then applied to engine...

Solving semi-infinite programs by smoothing projected gradient method

In this paper, we study a semi-infinite programming (SIP) problem with a convex set constraint. Using the value function of the lower level problem, we reformulate SIP problem as a nonsmooth optimization problem. Using the theory of nonsmooth Lagrange multiplier rules and Danskin’s theorem, we present constraint qualifications and necessary optimality conditions. We propose a new numerical meth...