给出一个三项共轭梯度方法,该方法具有如下特点:1)搜索方向在不需要任何线搜索的条件下具有充分下降性;2)搜索方向具有自动属于一个信赖域的特点;3)新方法不但拥有梯度值信息还拥有函数值信息;4)方法对一般函数拥有全局收敛性.数值检验结果表明新方法更具竞争性.
In this paper, a conjugate gradient method is proposed. The given method possess the following features: 1) The search direction possesses the sufficient descent property; 2) The search direction belongs to a trust region;3) The new method has not only the gradient value but also function value;4) The presented method has the global convergence for general functions. Numerical results turns out the new method is more competitive to the normal method.