【摘要】 基于Dai-Yuan共轭梯度法,本文给出了求解无约束优化的一个非线性共轭梯度法.对任意的线性搜索,该方法满足充分下降条件gTkdk≤-(1-1/4μ)‖gk‖2,μ>1/4;而且,对一般的非线性函数,不需限制的下限值,用Wolf线搜索具有全局收敛性.更多还原

【Abstract】 In this paper,based on the Dai-Yuan conjugate gradient method,a new nonlinear conjugate gradient method is proposed for the unconstrained optimization.For any line search,our scheme satisfies the sufficient descent condition. gTkdk≤-(1-1/4μ)‖gk‖2,μ>1/4.Moreover,a global convergence resulted from general nonlinear function is established when the standard Wolf line search is used under some suitable conditions without restricting the lower value of βNk.更多还原