中文摘要：

为非强迫的优化经由二条曲线的路径在检验了类型的修正的研究上集中近似信任区域方法。曲线的路径的性质；对把线搜索技术与一个近似信任区域算法相结合的一个方法的描述；集中分析的信息；数字实验上的细节。

英文摘要：

Focuses on a study which examined the modification of type approximate trust region methods via two curvilinear paths for unconstrained optimization. Properties of the curvilinear paths; Description of a method which combines line search technique with an approximate trust region algorithm; Information on the convergence analysis; Details on the numerical experiments.