弱L-平均条件下非精确牛顿型迭代法的半局部收敛性

摘要

The semilocal convergence properties of the variants of inexact Newton-type iteration methods for nonlinear operator equations were studied under the hypothesis that the first derivative satisfies weak L-average conditions. These conditions included the usual Lipschitz condition as special cases.%主要研究了在弱L-平均条件下非精确牛顿型迭代法在求解非线性算子方程时的半局部收敛性.这种弱L-平均条件包含了常用的Lipschitz条件作为特殊情形,故所得收敛结果具有一般性.