有界变量约束非线性方程组的信赖域内点算法

摘要

提出一种有界变量约束非线性方程组的信赖域内点算法,在合理的条件下所提供的算法不仅能整体收敛于方程组的解而且保持局部收敛速率.数值计算结果说明算法的有效性.%We propose a trust region interior algorithm for solving nonlinear equality systems subject to bound constraints on variables. Under some reasonable conditions, the proposed algorithm is globally convergent and has locally fast convergent rate. Results of numerical experiments are reported to show the effectiveness of the proposed algorithm.