一种新线性搜索下混合HS-DY共轭梯度法的全局收敛性

The Global Convergence for a Mixed HS-DY Conjugate Gradient Algorithm with a New Line Search

在HS方法和DY方法的基础上,给出了一种求解无约束问题的混合共轭梯度算法.在新的非精确线性搜索下,不需给定下降条件,证明了算法的全局收敛性.

This paper gave a mixed conjugate gradient method for unconstrained optimization based on Hestenes- Stiefel algorithms and Dai -Yuan algorithms. Global convergence was proved under a new inexact line search without descent condition.