【摘要】 本文证明了求解无约束最优化的广义拟牛顿算法在Goldstein非精确线搜索下对一般目标函数的全局收敛性 ,并在一定条件下证明了算法的局部超线性收敛性 .更多还原

【Abstract】 In this paper,we develop the Generalized Quasi Newton methods for unconstrained optimization which was formed in paper,and we use inexact line searches (Goldstein rule).These methods are globally convergent when applied to a general objective function under the weak condition,and are locally super linearly convergent when applied to a uniformly convex function whoes Hessian matrix G(x) is Lipschitz continuous in the neighborhood of the optimal solution point.So we develop the results of paper and .更多还原