标题：A New super-memory gradient method with curve search rule for unconstrained minimization problems
作者：Tang, Jingyong ;Dong, Li ;Zhou, Jinchuan
作者机构：[Tang, Jingyong ;Dong, Li ] College of Mathematics and Information Science, Xinyang Normal University, Xinyang 464000, China;[Zhou, Jinchuan ] Departm 更多
来源：International Journal of Applied Mathematics and Statistics
摘要：In this paper we present a new super-memory gradient method for unconstrained minimization problems. The global convergence and linear convergence rate of this method are proved under some mild conditions. The method uses previous multi-step iterative information and a curve search rule to generate new iterative points. It is particular that the search direction and the step-size are determined simultaneously at each iteration. This makes the new method converge more stably than other similar methods and be suitable for solving large scale unconstrained minimization problems. Numerical results show that our method is effective in practical computation. © 2012-13 by CESER Publications.