Journal of Engineering and Applied Sciences
ISSN: Online 1818-7803ISSN: Print 1816-949x
Abstract
In this research, we present a new radius for a modified trust region method and used them to solve the large-scale unconstrained optimization. Our approach increases and improves the robustness and efficiency of the trust-region frameworks as well as decrease the computational cost of the algorithm by decreasing the number of the trust-region subproblems that must resolved when the trail step rejected. Theoretical analysis shows that the new approach conserve the global convergence to the first-order critical points under classical assumptions. Moreover, the superlinear and the quadratic convergence are established under suitable conditions. The numerical results show that the new method is effective and promising for solving unconstrained optimization problems.
How to cite this article:
Mushtaq A.K. Shiker and Zahra Sahib. A Modified Trust-Region Method for Solving Unconstrained Optimization.
DOI: https://doi.org/10.36478/jeasci.2018.9667.9671
URL: https://www.makhillpublications.co/view-article/1816-949x/jeasci.2018.9667.9671