一类修正的共轭梯度法及其数值计算效果

A Kind of Modified Conjugate Gradient Method and Its Numerical Calculation Effect

给出一个新的βcκ和δκ公式,新的共轭梯度法继承了FR方法的优点,在SWP线搜索下,具备良好的全局收敛性。在WWP线搜索下,给出谱共轭梯度法相应的分析。数值实验表明,本文提出的共轭梯度法数值计算性能更有效。

A new formula βcκ and δκ is given. The new conjugate gradient method inherits the advantages of the FR method. Under the SWP line search, it should have good global convergence. Under the WWP line search, the corresponding analysis of the spectral conjugate gradient method is given. Numerical experiments show that the numerical calculation performance of the conjugate gradient method proposed in this paper is more effective.