求解不可微算子方程的一类迭代法的半局部收敛分析

Semilocal convergence analysis of a class of iterative methods for solving nondifferentiable operator equations

给出了一类解不可微算子方程迭代法的半局部收敛问题.作为特殊情形,这类方法包含了一个已知的方法.在弱Lipschitz条件下建立了该类迭代法的半局部收敛定理.最后,通过数值例子说明了该类方法的有效性.

A class of iterative methods for solving nondifferentiable operator equations was given. Such class includes a known method as a special case. Under some weak Lipschitz condition,the semilocal convergence of these methods were established. A numerical example was given to illustrate the effectiveness of the methods.