线性优化

And the algorithm is free of the operation of inverse matrix. It solves the problem that one can not design high-order FIR filters by using other approaches.

且算法不涉及逆矩阵的计算，有效解决了国内外其它优化设计方法无法设计高阶FIR线性相位滤波器的问题。

In this paper, the stationary and non-stationary random wind-induced response, dynamic reliability and optimization under the dynamic reliability constraint of structures with foundation rotation and tall building with TMD or TLD is studied systematically. Three achievements are gained. 1. According to the situation that Davenport wind spectrum is irrational fraction, the equivalent wind spectrum is generated by linear filtered process.

本文对基础转动结构、带TMD或TLD结构的高层建筑和高耸结构的平稳与非平稳随机风振响应、动力可靠性分析以及基于动力可靠性约束的优化设计方法进行了系统的研究，取得了以下成果：1、针对Davenport脉动风谱为非有理分式风谱，通过线性滤波过程和三参数拟合，生成了与Davenport风谱等效的脉动风谱。

First of all, the structural analysis under the action of random loads is carried out and the mean value and variance of all joint's displacement and bar's stress in the structure are obtained by means of three fundamental equations (equilibrium, physical and geometric) in structural mechanics, as well as the property of moment of random variable.

通过引入可靠性安全系数，并利用结构力学的三个基本方程，将结构的位移和杆件应力可靠性约束等价显示化为设计变量的线性函数，使原基于可靠性的优化模型转化为常规的序列线性规划问题，利用修正的单纯形法求解。

The feedback linearization,system lacunarity and optimization control of the nonlinear control system are discussed.

对非线性控制系统设计理论上的难点问题进行了探讨，就非线性控制系统的反馈线性化、系统间隙度和非线性系统的优化控制进行了分析。

In addition, the corresponding analog transconductance neural optimizer based on modified augmented Lagrange multiplier approach is developed.

对单测试激励下线性约束L〓范数估计问题的求解，提出了基于改进的罚函数法和Lagrange乘子法两种跨导神经优化求解器。

In this work, GC-MS, ICP-OES, UV-Visible Spectrophotometry were employed to determine the trace concentrations of the above six hazardous substances, and a standard method system for screening primarily, extraction, qualitative and quantitative analyses of the six substances was established and their factors were analyzed. By evaluating the relative standard deviation, recovery, repeatability, limit of detection, linear relation etc., the optimum parameters were given and thus the precision of analysis was equal to or higher than the IEC 62321 standard, meeting the requirement of RoHS.

针对中国电子电气业在遵守RoHS符合性实践中存在的诸多问题，本文采用GC-MS，ICP-OES，UV-Visible分光光度法等，对我国南方和香港地区各类电子电气产品中六种有害物质进行痕量分析，建立了一套标准的六种有害物质初步筛选、萃取、定性、定量分析方法，并对此方法体系的影响因素进行分析，对其相对标准偏差、回复率、再现率、检出限、线性关系等进行评估，得出了优化测试参数，在此条件下其检测的精密度达到或高于国际IEC 62321标准，满足RoHS测试要求。

Its global convergence and linear convergence rate were proved under some mild conditions.

提出一类新的求解无约束优化问题的记忆梯度法，在较弱条件下证明了算法具有全局收敛性和线性收敛速率。

Based on analyzing the weighted coefficient matrix of the reconstruction linear model, the convergence speed of ART is enhanced by optimizing the selection order of projections during iteration. The whole performance of the system has been improved. The 12-electrode capacitance tomgraphy system is mounted in the oil/gas/water loop and it is used to monitor oil/gas two-phase flow upwards through vertical pipelines.

为了减少代数重建算法的时间开销，本文从图像重建线性模型的权系数矩阵出发，通过优化各投影在迭代过程中的选取顺序来改善ART算法的收敛特性，使成像系统仅需增加较小的时间开销就可提高系统的成像质量，从而提高了成像系统的整体性能。

In Chapter 4, using the formula A_k(2) given by Wei, we propose a new A_k(2)-SQP method, which develepments the using of the quasi-Newton formula BFGS, and combines with SQP method to solve constrained optimization problems, the corresponding algorithm possesses global convergence and supei linear convergence property.

第四章，利用韦提出的A_κ(2)公式，我们给出了一种A_κ(2)-SQP方法，该方法把拟牛顿修正公式BFGS进行了推广，并结合SQP方法去解约束优化问题，相应的算法具有全局收敛性和超线性收敛性。

After a short-term load forecasting method based analogous and linear extrapolation is proposed, the load forecast and the priority of equipment action are led into static reactive power optimization. The aim function is constructed for the practical situation of power system. On the basis of traditional genetic algorithm the fitness function and the holding of population diversity are improved. The adjacent search operator is applied to improve ability of local search.

在提出基于相似日和线性外推的短期负荷预测新方法的基础上，将负荷预测和设备动作优先级引入静态无功优化中，并结合电网实际情况，构造了实用的目标函数，对遗传算法的适应度函数和群体多样性的保持进行了改进，采用邻域搜索算子增加遗传算法的局部寻优能力。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。