在求解非线性方程组问题的过程中,由已知的三项共轭梯度法的基础上设计出了一种新的共轭梯度法WW,并在适当条件下证明了其充分下降性及全局收敛性。数值实验结果表明,在与现有的一些共轭梯度法的对比中,WW方法有较强的竞争性。
In the process of solving nonlinear equations, a new conjugate gradient method is derived from the known DY conjugate gradient method. Furthermore, the sufficient descent property and global convergence are proved under suitable conditions. The numerical results also show that there is a strong competitive advantage in comparison with some existing conjugate gradient methods.