非线性优化

Based on analyzing characteristic of heat exchange with finite element method, the paper transforms the finite element computing problem into a nonlinear optimizing one with some restriction, and solves it using the Hopfield neural network.

根据热传导有限元分析的特点，把有限元计算问题转化为带约束的非线性优化问题，并给出求解决该问题的改进Hopfield网络，最后对一个简单温度场神经计算进行数值仿真。

Conjugate gradient method is a significant method in solving nonlinear optimization problems.

共扼梯度法是求解非线性优化问题的一种重要方法。

In this thesis we discuss trust region algorithms for constrained nonlinear optimization problems by three chapters.

本文主要研究约束非线性优化问题的信赖域算法，全文分为三章。

The paper proves that the search process of the non-crossover genetic algorithm is an ergodic homogeneous Markov Chain. The proof of global convergence of NCGA is presented is this paper. The upper bound of convergence speed of the NCGA is the same as the CGA. The possibly of retain the promising genes of NCGA is larger than CGA.

对于本人可以找到的32种典型的非线性优化测试函数，应用无交叉算子遗传算法，与基于经典遗传算法相比，在相同的进化代数的条件下，NCGA同样取得了略优的收敛速度，在相同CPU计算时间上NCGA也取得略优的结果； 3 提出了复合算子遗传算法。

Robust design objective is always structural response′s first derivative, constraint functions are nonlinear functi...

鲁棒设计目标函数为结构响应的一阶导数，约束函数也是非线性隐函数，因此是多变量的非线性优化问题。

Secondly, A MFNN-based nonlinear optimizing controller is designed, which is based on a generalized least squares control cost function.

二、基于广义最小方差控制目标函数，设计了一种基于多层前馈神经网络的非线性优化控制器。

The Tabu Search algorithm is the generalized heuristic global search technique with short-time memory, and suitable for solving many nonlinear optimization problems.

禁止搜索TS算法是一种具有短期记忆的广义启发式全局搜索技术，适用于解决许多非线性优化问题。

On the basis of variation characteristics of ship speed error model, a ship speed regulator using the on-line adaptive error model is proposed in this paper. The control scheme is based on back propagation multi-layer perceptrons adaptive neural network in which a modified hyperbolic tangent function is used as the activation function of an auto-tuning neuron and is updated by the steepest descent method.

在分析船舶航速误差模型变化特性的基础上，应用激励函数的自适应神经网络和最陡下降法的非线性优化技术，提出了自适应学习误差模型控制方法，应用于船舶柴油机调速器控制系统。

Based on the additional information such as displacements or stresses provided at several internal or boundary points in the structure,combined with stochastic boundary element method and optimization technique,the basic model of the prediction of the structural reliability by inverse analysis of boundary element method is presented in this p.

本文利用随机边界元法与非线性优化技术相结合，根据弹性体内或边界上的位移、应力等附加信息，建立了结构可靠性预测的边界元逆分析法的基本模型，算例证明了该理论的有效

Seismic inversion belongs to nonlinear optimum problem.

地震参数反演属于典型的非线性优化问题。

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。