本文利用函数平均权重的非单调技术以及自适应信赖域方法,提出一个解非线性方程组的非单调自适应信赖域法.并在适当假设条件下,讨论了算法的全局收敛性.数值试验表明了算法是有效的.
In this article,by using the nonmonotonic techniques of weighted average of successive function values and the method of adaptive trust-region,a new nonmonotone automatic determination trust region method for nonlinear equations is presented.Under suitable suppose condition,the global convergence properties of this algorithm are given.Numerical experiments indicate that the algorithm is effective.