TY - JOUR
T1 - A Self-Adaptive Trust Region Algorithm
AU - Long Hei
JO - Journal of Computational Mathematics
VL - 2
SP - 229
EP - 236
PY - 2003
DA - 2003/04
SN - 21
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/10277.html
KW - Trust region, Unconstrained optimization, Nonlinear optimization.
AB - <p style="text-align: justify;">In this paper we propose a self-adaptive trust region algorithm. The trust region radius is updated at a variable rate according to the ratio between the actual reduction and the predicted reduction of the objective function, rather than by simply enlarging or reducing the original trust region radius at a constant rate. We show that this new algorithm preserves the strong convergence property of traditional trust region methods. Numerical results are also presented.</p>