A new Liu-Storey type nonlinear conjugate gradient method for unconstrained optimization problems

作者：Zhang; Li

来源：Journal of Computational and Applied Mathematics, 2009, 225(1): 146-157.

DOI：10.1016/j.cam.2008.07.016

• Conjugate gradient method
• Nonconvex function
• Global convergence

Although the Liu-Storey (LS) nonlinear conjugate gradient method has a similar structure as the well-known Polak-Ribiere-Polyak (PRP) and Hestenes-Stiefel (HS) methods, research about this method is very rare. In this paper, based on the memoryless BFGS quasi-Newton method, we propose a new LS type method, which converges globally for general functions with the Grippo-Lucidi line search. Moreover, we modify this new LS method such that the modified scheme is globally convergent for nonconvex minimization if the strong Wolfe line search is used. Numerical results are also reported.

• 出版日期2009-3-1
• 单位长沙理工大学