TY  - JOUR
T1  - A Modified Trust-Region Method for Solving Unconstrained Optimization
AU - A.K. Shiker, Mushtaq AU - Sahib, Zahra 
JO  - Journal of Engineering and Applied Sciences
VL  - 13
IS  - 22
SP  - 9667
EP  - 9671
PY  - 2018
DA  - 2001/08/19
SN  - 1816-949x
DO  - jeasci.2018.9667.9671
UR  - https://makhillpublications.co/view-article.php?doi=jeasci.2018.9667.9671
KW  - Unconstrained optimization
KW  -trust-region method
KW  -global convergence
KW  -promising
KW  -numerical
KW  -optimization
AB  - 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.
ER  -