【摘要】 在共轭梯度不能精确计算的情况下,研究了带误差项的FR共轭梯度法,因而更适用于许多实际问题.步长规则采用强Wolfe线搜索,在很一般的条件下证明了算法的全局收敛性,并给出了数值实验.结果表明,误差项的出现不影响算法的稳定性.更多还原

【Abstract】 In the case where the conjugate gradient is computed inexactly,we consider FR conjugate gradient method with errors,which is more applicable in practice. For the step size rule,the strong Wolfe line search is used,and the global convergence of the method is proven under very general conditions.Finally,the numerical experiment results indicate that errors are independent of the stability of algorithm.更多还原