非线性优化

At present, trust region method and line search method are mainly two types of numerical algorithms for nonlinear optimization.

目前，信赖域方法和线搜索方法并列为非线性优化的两类主要数值计算方法。

We define three kinds of collision energies,and calculate and discuss them through a nonlinear optimization method.

定义了3种碰撞能量，并用非线性优化方法对其进行了计算及分析。

This article analyzes optimal nonlinear portfolio management contracts.

本文分析了非线性优化投资组合管理合同。

The changes of daily load curves,that is the effect of the quantity of generated electricity and the difference values of peak to valley,are calculated by nonlinear optimal algorithm in this paper.

本文采用非线性优化方法，计算分析了 G 电力系统中 T 梯级水电站日负荷图形状的变化，即发电量大小和峰谷差值大小对梯级水电站运行的影响。

Because of its strong convergence, robustness and validity, researchers in nonlinear optimization have paid great attention to it since 1970s.

自二十世纪七十年代以来，这种方法因其可靠性、有效性及很强的收敛性引起了非线性优化研究界许多学者的重视。

Based on the N-1 principle of power system, a nonlinear optimized model of steady state security restriction on the power flow of transmission tie line group is proposed, and its iterative algorithm is detailed.

就电网运行中广泛采用的N-1原则，建立了输电断面潮流静态安全约束的非线性优化数学模型并给出了迭代求解算法。

The self-adpative trust region method is an effective method for unconstrained optimization problem.

自动确定信赖域半径的信赖域方法是求解无约束非线性优化问题的一种有效方法。

The Wolfe gradient and the Rosen projection algorithm are used to solve this model.

该模型是带等式、非负约束的非线性优化问题。

The linear weighted aggregative method is used for three objective nonlinear optimization problem.

对三目标的非线性优化设计问题，采用了线性加权和的方法，其中加权因子系用像集方法算出。

Taking a example for verilying the feasibility and computation precision of the approach,the computation results show that the PSO-based approach is a useful tool for solving such nonlinear optimization problems as cylindricity evaluation with complicated goal function and more parameters. It is superior to that given by the Least Square Method and a little better than or equal to those given by GA-based method and another Minimum Zone Method.

计算结果表明，该方法对于圆柱度误差评定这类具有复杂目标函数和较多参数的非线性优化问题有很好的计算性能，优于最小二乘法；与遗传算法和其它满足最小区域条件计算方法相比，计算精度略优于前者或者与前者相当，能够获得精度较高的结果，而突出优点是简单，易于实现而且计算效率较高。

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。