Used perturbed method and making inexact generalized gradient projection with cone , perturbed generalized gradient projection method is proposed . the field of the algorithm is extended . numerical experiments show that the method is effective . secondly , using the trust region form and the pseudo - directional derivative of minimax problem , we propose the trust region form of minimax problem 对信赖域法作了进一步的研究，借助minimax问题的伪方向导数，构造出其信赖域二次模型，并结合非单调策略，给出求解minimax问题的简单易行的信赖域算法。
In chapter 2 , we propose a new formula of main parameter k of conjugate gradient method that is related to decrease of objective function , test its numerical effects and analyze its convergent properties . by restricting the new formula k to nonnegative domains , we construct two hybrid formulas and discuss their convergent properties under some weak conditions 在第二章中，我们从一个二次模型出发，推导出了共轭梯度法的主要参数_ k的一种新形式，这种形式与目标函数值的下降量有关，然后我们测试新共轭梯度法的数值效果和证明了它的收敛性。
