An interior-point penalty active-set trust-region algorithm

In this work, an active set strategy is used together with a Coleman–Li strategy and penalty method to transform a general nonlinear programming problem with bound on the variables to unconstrained optimization problem with bound on the variables. A trust-region globalization strategy is used to com...

Full description

Bibliographic Details
Main Author: Bothina El-Sobky
Format: Article
Language:English
Published: SpringerOpen 2016-10-01
Series:Journal of the Egyptian Mathematical Society
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1110256X16300256
Description
Summary:In this work, an active set strategy is used together with a Coleman–Li strategy and penalty method to transform a general nonlinear programming problem with bound on the variables to unconstrained optimization problem with bound on the variables. A trust-region globalization strategy is used to compute a step. A global convergence theory for the proposed algorithm is presented under credible assumptions. Prefatory numerical experiment on the algorithm is presented. The rendering of the algorithm is reported on some classical problem.
ISSN:1110-256X