共轭性

The two Armijo-type line searches proposed in Chapter 4 are shown to guarantee the global convergence of the class of conjugate gradient methods.

在第四章提出的两种Armijo型线搜索下，针对不同的线搜索参数分别讨论了共轭梯度法簇的全局收敛性。

Generalized strong vector variational-like inequalities; Minty's lemma; KKM mapping; pseudomonotone; Ky Fan lemma; open mapping theorem; complete; the second category; conjugate; proper convex lower semicontinuous function; linear mapping; closedness

基础科学，数学，数学分析广义强向量似变分不等式； Minty引理； KKM映象；伪单调； Ky Fan引理；开映射定理；完备；第二纲；共轭；真凸下半连续函数；线性映射；闭性

In terms of the minimum question of a positive definite quadratic function,a set of Newton directions in minimum points derived with an accurate single dimensional search are used to produce a set of conjugate direction ,and a proof of convergence is presented.

对正定二次函数极小问题，利用精确一维搜索所得极小点处的牛顿方向来生成一组共轭方向，并给出收敛性证明

In this paper, based on the conjugate function and the dual programming of convex programming, with the dual cone, to conic programming, the dual programming is fully discussed, the expression of the dual programming is educed, the main dualities are proved, and the dualities of the familiar conic programming are studied.

以共轭函数和凸规划的对偶规划为基础，利用对偶锥的概念，全面讨论了一般锥规划的对偶问题，严格推导出锥规划对偶规划的表示形式，给出了锥规划的主要对偶性质，并用这些结果研究了常见锥规划的对偶性。

Secondly, it analyses the line type between stator and rotor of PDM, gets its derivation bone line equation that satisfies the motor conjugate line type of theoretical sealing and the equation of curved surface, and determines its basic processing method and technology according to the line type characteristic of the spiral curve through analyzing some kinds of typical spiral curve processing methods.

其次，对螺杆钻具定子与转子进行线型分析，推导出其满足理论密封性的马达共轭线型的骨线方程和曲面方程，根据螺杆钻具定子内孔螺旋曲线的线型特点，在分析了几种典型的加工螺旋曲线加工方法的基础上，确定了其基本的加工方法和工艺。

In this dissertation, we presented the global convergence properties of nonlinear conjugate gradient methods without line search and with strong Wolfe conditions, Goldstein inexact line search.

本文给出了无约束最优化算法—非线性共轭梯度法在不需线搜索和用强Wolfe条件下以及用Goldstein非精确线搜索产生搜索步长情况下的全局收敛性证明。

Nonlinear Conjugate Gradient Method; Line Search; Sufficient Descent Direction; Global Convergence

基础科学，数学，运筹学非线性共轭梯度法；线性搜索；充分下降方向；全局收敛性

In this paper,with the aid of the w~*- sequential compactness of bounded closed balls in the conjugate space of a separable space,we proved that the convex hull of a finite union of bounded closed balls in l~∞ is closed.

借助可分空间的共轭空间中有界闭球的弱星序列紧性，证明在无穷维数列空间l∞中有限个闭球之并的凸包仍为闭集

Ratio transformation between the R and G component is attempted to acquire a ratio image. In the Munsell HSV color space, conjugate incentive algorithm is attempted to fuse H and S component to acquire a fusion image, which is weakly correlated with the ratio image.

通过R与G分量间比值变换得到具有独特信息的比值图像，并在Munsell HSV颜色空间上，利用共轭激励法融合H和S分量图像，针对其与上述比值图像的弱相关性与强正交性，用其构建掩膜，来去除比值图像的背景，实现柑橘识别。

The understanding of the delocalization of π electrons in the conjugated systems is the foundation of studying a...

共轭体系中π电子的离域性，提供了研究设计新型有机材料的结构基础，涉及导体，铁电体，磁性材料及非线性光学材料等有关领域。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。