该文提出一种无约束优化非线性共轭梯度法，证明了精确线性搜索下的全局收敛性。
The paper presents a nonlinear conjugate gradient method for unconstrained optimization problem, and proves its global convergence under exact line searches.
PR共轭梯度法是求解大型无约束优化问题的有效算法之一，但是算法的全局收敛性在理论上一直没有得到解决。
Pr conjugate gradient method is one of the efficient methods for solving large scale unconstrained optimization problems, however, its global convergence has not been solved for a long time.
配置法是以满足纯插值约束条件的方式，寻求算子方程近似解的方法，且具有无需计算数值积分、计算量小、收敛阶高等优点。
The collocation method is a numerical method which search for the approximate solution of the equation by way of meeting pure interpolation condition.
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