An improved derivative-free trust-region method to solve systems of nonlinear equations in several variables is presented, combined with the Wolfe conditions to update the trust-region radius. We believe that producing step-sizes by the Wolfe conditions can control the trust-region radius. The new algorithm for which strong global convergence properties are proved is robust and efficient enough to solve systems of nonlinear equations.

中文翻译：

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非线性方程组的有效线搜索信任域

提出了一种改进的无导数信赖域方法，该算法可以求解多个变量中的非线性方程组，并结合沃尔夫条件更新了信赖域半径。我们认为，通过沃尔夫条件产生步长可以控制信任区半径。证明了其强大的全局收敛性的新算法具有足够的鲁棒性和效率，足以求解非线性方程组。