Parameterize the Center of the Trust Region for Solving Quadratic Interpolation Models
The derivative free trust region algorithm was considered for solving the unconstrained optimization problems. This paper introduces a novel methodology that modified the center of the trust region in order to improve the search region. The main idea is parameterizing the center of the trust region based on the ideas of multi-directional search and simplex search algorithms. The scope of the new region was so expanded by introducing a parameter as to we can find a better descent directions. Experimental results reveal that the new method is more effective than the classic trust region method on the testing problems.
Q. H. Zhou et al., "Parameterize the Center of the Trust Region for Solving Quadratic Interpolation Models", Applied Mechanics and Materials, Vols. 52-54, pp. 920-925, 2011