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In chapter 3, we will mainly consider the Fletcher-Reeves algorithm under the new line search. 在第三章中我们将主要考虑新线搜索下的FR算法。
Zhou J. L. and Tits A.L, Nonmotone line search for minimax problems, JOTA 76:3 (1993), 455-476. 周方俊等,一类新的非单调曲线搜索算法,运筹与决策;1(1992),340-345(成都科大出版社)
However, the PRP method even with the exact line search is not globally convergent on nonconvex functions. 然而，对一般非凸函数，PRP方法即使采用精确线搜索也不能保证全局收敛。
Under relatively weak conditions, we proved that this modified method converges globally with nonmonotone line search. 在较弱的条件下，证明了此类非单调修正HS算法具有全局收敛性。
In this chapter, under suitable conditions we prove that the modified DFP method is globally convergent with weak Wolfe-Powell line search . 本章在适当的条件下，证明上述修正DFP方法在弱Wolfe-Powell线搜索下是全局收敛的。
The method not only avoids resolving the subproblem repeatedly but also reduces the numbers of computing function values in the line search algorithm. 既避免了重复求解信赖域子问题，又减少了线搜索方法计算函数值的次数。
The great deal of circulating gas and the strongly turbulent flow in the circle passage are the main factors causing the hoop pressure distribution varied in non monotonic way. 环形通道内存在大量循环气流和强烈湍动,切向速度分量远大于径向速度分量,导致周向压强分布的非单调变化。
A descent algorithm for solving unconstrained optimization is discussed. Global convergence result is established with inexact line search. 摘要研究了求解无约束优化问题的一种共轭下降算法，并在非精确线搜索条件下证明了该算法的全局收敛性。
In this paper, the two-point stepsize gradient method which together with one new nonmonotone line search technique is proposed. 摘要给出一个两点步长梯度方法，其将与一个新的非单调线搜索技术相结合。
A new method to correct the barral distortion of endoscope image based on the line search method of guaranteed global convergence is presented. 根据内窥镜成像特性以及基于全局收敛的线性搜索法来确定畸变图像中心和多项式系数。
To allow the negative curvature direction and avoid the Maratos effect, we add second correction step to trust region trial step and employ nonmonotone technique in line search. 为允许负曲率方向及克服Maratos效应，我们在信赖域试探步中加入二阶校正步，线搜索时采用非单调技术。
The convergence properties of NCG methods with three inexact line searche. 讨论在三种非精确线搜索下,NCG法的收敛性质。
The Newton-Raphson increment iterative method is adopted with accelerating convergence technique as line search, DOF predictor, and automatic time stepping. 计算时,采用Newton-Raphson 迭代方法,并辅助了线性搜索技术、应用预测和自适应下降等加速收敛技术。
A successive approximation quasi-Newton method for solving nonlinear complementarity problems is proposed.By presenting a suitable line search, the algorithm is well defined. 摘要提出了求解非线性互补问题的一个逐次逼近拟牛顿算法。
This non sequitur invalidates his argument. 他不根据前提推理因而论证无效。
The nonmonotone line search algorithm for nonsmooth optimization given by Pang is extended to this case, and we prove that the algorithm is globally convergent. 五，研究了非光滑极大极小无约束最优化问题，给出了一个线性搜索算法，并证明其整体收敛性。
Patience is a sine qua non for a good teacher. 做个优秀教师必不可少的条件是要有耐心。
The diplomat was declared persona non grata. 这位外交家被宣布为不受欢迎的使节。
He is declared personal non grata and forced to leave the country. 他被宣布为不受欢迎的人而被迫离开该国。
In chapter 2, we propose a new inexact line search and demonstrated its feasibility. We get promotion Zoutendijk condition. And then we made a comparison of the traditional Wolfe line search. 在第二章中我们提出了新的非精确线搜索，并证明了它的可行性，得到了推广的Zoutendijk条件，随后还和传统的Wolfe线搜索做了比较。