Xw. Ke, A CLASS OF NONMONOTONE TRUST REGION ALGORITHMS FOR UNCONSTRAINED OPTIMIZATION PROBLEMS, Science in China. Series A, Mathematics, Physics, Astronomy & Technological Sciences, 41(9), 1998, pp. 927-932
A class of nonmonotone trust region algorithms is presented for uncons
trained optimizations. Under suitable conditions, the global and Q-qua
dratic convergences of the algorithm are proved. Several rules of choo
sing trial steps and trust region radii are also discussed.