【摘要】 提出了一种新的非线性修正的谱CD共轭梯度算法。该算法得到的搜索方向为下降方向,它既不受线搜索规则的影响,也不受目标函数的凸性影响。同时算法在精确线搜索条件下能够诱导出标准的CD共轭梯度方法。给出的新方法在两种不同Armijo型线搜索规则下具有全局收敛性,数值实验结果显示了新算法的可行性。更多还原

【Abstract】 A new nonlinear modified spectral CD conjugate gradient method is dealt with.The direction generated by the method is a descent direction for the objective function,and this property depends neither on the line search used,nor on the convexity of the objective function.M oreover,the modified method reduces to the standard CD method if line search is exact.It proves that the modified method with Armijo-type line search I or II is globally convergent.Preliminary numerical results show the proposed method is very promising.更多还原