【摘要】 在Liu-Storey（LS）公式的基础上给出了一个修正的共轭梯度公式β_k^MLS.证明了该新公式在Wolfe-Powell线搜索下,甚至在强Wolfe-Powell线搜索下,在满足σ∈（0,1/2）的同时,新算法具有充分下降性和全局收敛性.数值结果展现了算法的可行性.更多还原

【Abstract】 In this paper,a modified conjugate gradient formulaβ_k^MLS based on the formula of the Liu-Storey（LS） nonlinear conjugate gradient method was proposed.It was proved that under the Wolfe-Powell line search and even under the strong Wolfe-Powell line search, with parameterσ∈（0,1/2）,the new method has sufficient descent and global convergence properties.Preliminary numerical results show that the method is very promising.更多还原