基于新拟牛顿方程的拟牛顿法的超线性收敛性分析

The Superlinear Convergence of Quasi-Newton Methods Based on the New Quasi-Newton Equation

假设f(x)二阶连续可微且一致凸时和f(x)的二阶导数矩阵G(x)在极小点x*处满足Hlder条件,文章证明了基于新拟牛顿方程的拟牛顿法的超线性收敛性.

If f（x） is twice continuously differentiable and uniformly convex,and we also assume that the Hessian matrix G be Holder continuous at x^＊ ,the superlinear convergence of the algorithm based on the new quasi-Newton is presented.