非线性ABS型算法的一个统一收敛定理

A Unlfled Convergence Theorem for Nonlinear ABS-type Algorlthm

本文讨论非线性方程组的算法的局部收敛性，给出了一个统一的收敛定理．该定理相当一般，不仅包含ＡＢＳ型方程，而且对目前常用的许多方法也都适用．

A unified convergence theorem with quzdratic rate is proposed based on a general algorithm model which includes the most popular methods as well as the ABS-type methods for solving nonlinear systems of equations.