无约束最优化中的一阶曲线法

The First Order Curvilinear Methods in Unconstrained Optimization

中文关键词:  无约束最优化  曲线法  全局收敛性．

英文关键词:unconstrained optimization  curvilinear methods  global convergence.

中文摘要:

      本文对无约束最优化问题提出一阶曲线法，给出其全局收敛结果．对由微分方程定义的一阶曲线，提出渐近收敛指数概念，并计算出几个常用曲线模型的渐近收敛指数．

英文摘要:

      The first order curvilinear methods is presented and some relevant global convergenceresults are given. The asymptotic convergence index for the first order curves defined bysome ordinary differential equations is given,which may be used as a criterion for theconvergence speed of the first order curvilinear methods.