科研之友
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摘要
In this paper, by taking a little modification to the Hestenes-Stiefel method, we propose a new way to construct descent directions satisfying the sufficient descent condition. Also, an adaptive conjugacy condition and a intrinsic self-restarting mechanism are revealed, a dynamical adjustment can be regarded as the inheritance and development of properties of standard Hestenes-Stiefel method. Furthermore, we establish global convergence for general nonconvex objective function under mild condition. Numerical results show that our presented methods can be efficient for solving large-scale test problems and therefore is promising.
