非精确牛顿法的一个 Kantorovich型半局部收敛定理磁

摘要

The convergence of an inexact Newton method for solving operator equation F( x)=0 was studied, a new majorizing sequence was presented and a Kantorovich-type semilocal convergence theorem was given.%研究了非精确牛顿法在求解算子方程F（ x）＝0时的收敛性，给出了新的优序列，证明了Kantorovich型半局部收敛性。