非线性优化

First, the reason behind the negative data is analyzed and a nonnegative constraint is imposed on the classic PCA. Then a set of nonnegative linear independence weight vectors of principal components is obtained, by which a low dimensional space is constructed. Finally, a nonlinear optimization technique is used to determine the projection vectors of the high-dimensional multi-spectral data in the constructed space.

首先分析主成分分析法产生非光谱数据的原因，据此对经典主成分分析模型增加非负约束；然后求出一组线性无关的非负主成分权向量，用该组向量构造低维空间；最后用非线性优化技术确定高维数据在该低维空间中的投影值，实现了高维空间与低维空间的相互转换。

LINGO is used for linear and nonlinear optimization problems of simple tools.

LINGO是用来求解线性和非线性优化问题的简易工具。

LINGO is used to solve linear and nonlinear optimization problems simple tools.

详细说明： LINGO是用来求解线性和非线性优化问题的简易工具。

LINGO Tutorial LINGO is used to solve linear and nonlinear optimization problems of simple tools.

详细说明： LINGO 教程 LINGO是用来求解线性和非线性优化问题的简易工具。

This paper introduces the homotopy algorithm into back-propagation neural network and indicates that the convergence speed can be improved and the defects of converging to local extremum can be eliminated.

同伦算法是解决非线性优化问题的新理论，将同伦算法引入误差反向传播神经网络，提高了网络的训练速度，消除了常规BP网络算法收敛于局部极值的缺点。

In the fourth chapter, we establish a neural network to investigatethe minimax problem.

然后，我们将上述结果用于实对称矩阵的特征问题和非线性优化问题。

The design method aims at minimizing aliasing in the subband signals as well as minimizing resisual aliasing, system distortions in the reconstructed output signal.

讨论过采样系统的子带混叠、系统输出中的混叠和系统失真，推导并给出了一个相对简单的非线性优化算法。

It is studied how to get a global minimum of a function over a sphere.

研究如何获取球体约束下非线性优化的全局最小点。

Second, quasi-Newton methods are not applicable to all nonlinear optimization problems.

其次，拟牛顿法不能求解所有的非线性优化问题。

Trust region method is a class of very important numerical algorithms for nonlinear optimization.

信赖域方法是求解非线性优化问题的一类重要的数值计算方法。

Cynanchum Lingtai apricot production in the average weight 65 grams, the brightly-colored fruit, juicy rich, sweet-sour taste, sweet from the nucleolus, when the late Qing Dynasty famous Shaanxi, Gansu provinces, the Qing imperial court Tongzhi tribute for years.

灵台生产的牛心杏平均单果重65克，果实色泽鲜艳，汁多味浓，甜酸适口，离核仁甜，清末时就驰名陕、甘两省，清同治年间曾为朝廷贡品。

Chenopodium album,Solanum nigrum, and Amaranthus retroflexus were very susceptible to the herbicides. Polygonum persicaria and Abutilon theophrasti were relatively less susceptible to the herbicides, and Lycopersicon esculentum was not susceptible to it. The relationship between reduction rates of weed biomass and PPM values of weed leaves 2,4, and 6 days after treatment was established.

供试的6种杂草对该混剂的敏感性存在显著差异：红心藜Chenopodium album、龙葵Solanum nigrum和反枝苋Amaranthus retroflexus对该混剂最敏感，ED90值分别为47.65、71.67和29.17g/hm2；春蓼Polygonum persicaria和苘麻Abutilon theophrasti敏感，ED90值分别为96.91、114.20g/hm2；而番茄不敏感。