TY - JOUR
T1 - An Adaptive Nonmonotonic Trust Region Method with Curvilinear Searches
JO - Journal of Computational Mathematics
VL - 6
SP - 761
EP - 770
PY - 2006
DA - 2006/12
SN - 24
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/8789.html
KW - Unconstrained optimization, Preconditioned gradient path, Trust region method,
Curvilinear search.
AB - <p style="text-align: justify;">In this paper, an algorithm for unconstrained optimization that employs both trust region techniques and curvilinear searches is proposed. At every iteration, we solve the trust region subproblem whose radius is generated adaptively only once. Nonmonotonic backtracking curvilinear searches are performed when the solution of the subproblem is unacceptable. The global convergence and fast local convergence rate of the proposed algorithms are established under some reasonable conditions. The results of numerical experiments are reported to show the effectiveness of the proposed algorithms.</p>