论文标题
通过频谱残差方法求解方程式的非线性系统：步骤尺寸选择和应用
Solving nonlinear systems of equations via spectral residual methods: stepsize selection and applications
论文作者
论文摘要
光谱残留方法是解决非线性方程系统的无衍生物和低成本程序。它们通常与非单极线搜索策略相结合，并与基于牛顿的非线性系统和非线性系统序列的方法进行了很好的比较。残差向量用作搜索方向，选择级别对性能具有至关重要的影响。在这项工作中，我们在理论上和实验上都涉及级别的选择，并在诸如滚动联系问题之类的真实应用程序上提供结果。
Spectral residual methods are derivative-free and low-cost per iteration procedures for solving nonlinear systems of equations. They are generally coupled with a nonmonotone linesearch strategy and compare well with Newton-based methods for large nonlinear systems and sequences of nonlinear systems. The residual vector is used as the search direction and choosing the steplength has a crucial impact on the performance. In this work we address both theoretically and experimentally the steplength selection and provide results on a real application such as a rolling contact problem.
