TY - JOUR A2 - Dong, Bo-Qing AU - Weiwei, Yang AU - Yueting, Yang AU - Chenhui, Zhang AU - Mingyuan, Cao PY - 2013 DA - 2013/10/21 TI - A Newton-Like Trust Region Method for Large-Scale Unconstrained Nonconvex Minimization SP - 478407 VL - 2013 AB - We present a new Newton-like method for large-scale unconstrained nonconvex minimization. And a new straightforward limited memory quasi-Newton updating based on the modified quasi-Newton equation is deduced to construct the trust region subproblem, in which the information of both the function value and gradient is used to construct approximate Hessian. The global convergence of the algorithm is proved. Numerical results indicate that the proposed method is competitive and efficient on some classical large-scale nonconvex test problems. SN - 1085-3375 UR - https://doi.org/10.1155/2013/478407 DO - 10.1155/2013/478407 JF - Abstract and Applied Analysis PB - Hindawi Publishing Corporation KW - ER -