收敛性的

Chapter 9: We report a large quantity of numerical experiments of 13 different algebraic multigrid algorithms for solving the Poisson equation, anisotropic equation, equation with cross-derivative terms, general matrix problems with large off-diagonal positive entries, biharmonic equation, Toeplity matrix, elasticity systems, finite element discretization of the Laplacian and even 3D problems. Particular attention is focused on asymptotic convergence factors and CPU-time consumed. Numerical results for many different types of practical problems demonstrate the efficiency and robustness of the proposed algebraic multigrid methods.

第九章：在各种代数多重网格算法的基础上，进行了大量的数值试验，具体给出了十三种不同的代数多重网格方法求解泊松方程，各向异性方程，带混合导数项的方程，带有大的非对角正元素的一般矩阵问题，重调和方程，托普利兹矩阵，弹性力学方程组，拉普拉斯算子的有限元离散，甚至三维问题的较为丰富的数值结果，重点关注它们的渐近收敛因子和所需的CPU时间，来源于不同类型问题的计算结果既为代数多重网格理论分析和算法的改进提供了很实用的资料，同时也证实了本文给出的代数多重网格算法的效绩和稳健性。

In the first charpter,response variable is generalized to q dimensions, we propose the concept of QMLE and quasi function in nonlinear models, then under mild conditions, we prove that there exists the solution_n with probability 1 for sufficiently large n, and obtain the strong consistency, some results of asymptotic normality, meanwhile consistent estimator of σ~2 for QMLE for heterosedastic nonlinear models is presented.

在第一章中，我们首先将响应变量由一维推广到了多维，得出了非线性模型的极大拟似然估计的定义和拟似然方程，然后在一定的条件下，证明了当样本量n充分大时，拟似然方程以概率1有解？？_n且收敛于参数的真值(即定理1.2)，并且给出了极大拟似然估计的渐近正态性(即定理1.3，1.4)，最后考虑了异方差非线性模型的离差参数σ~2的相合估计(即定理1.5)。

The interpolation formula can be compiled into standard computer code.

在此，我们首先论述了保单调性的插值方法，根据分布函数的逆函数具有单调性的特点，用保单调的插值曲线去逼近分布函数的逆函数，进而用得到的插值公式进行随机变量的抽样，这样做可以节省抽样的时间，并且在分布函数具有一定的光滑性条件时，插值公式具有比较好的收敛阶。

First,we consider the lower semicontinuity property fora functional with linear growth in LDΩthe second, in the SBD space,we discussthe lower semicontinuity of an integral functional that the integrand is a Carathéodoryfunction and that satisfies a symmetric quasi-convex assumption, by the compactnesstheorem of the SBD space,blow-up method and Morrey theorem,prove that integral functional is lower semicontinuous with respect to L~1- convergence;then by using theone-dimentional sections method and the structure theorem of the BD functions, dis-cuss the lower semicontinuity of the integral functional in the whole BD space.

首先我们考虑LD空间满足线性增长的积分泛函的下半连续性；其次在SBD函数空间讨论了被积函数为Carathéodory函数时的积分泛函在满足对称拟凸条件时的下半连续性，主要利用SBD函数空间的紧性定理和blow-up方法以及Morrey定理等给出了积分泛函关于L~1-强收敛的下半连续性；然后利用BD函数的一维截断方法和结构定理，讨论了在BD全空间上的积分泛函的下半连续性。

Then we prove a nonsmooth minimax theorem by usingsome relative results about multi-valued maximal monotone mappings. Finally, we construct a nonsmooth minimax network to search for thesaddle points of the saddle functional. We have also proved that thetrajectory of the network is asymptotically convergent to thesaddle point of the saddle functional by usying Lyapunov function.

我们先介绍有关Clarke的广义梯度，次梯度及鞍泛函的有关结论；然后利用多值极大单调映象的满射性结果证明了一个非光滑的minimax定理；最后建立了一个非光滑的minimax神经网络来求解泛函的鞍点，并在一定的条件下构造出LYAPUNOV函数来证明网络的轨道渐近收敛于鞍泛函的鞍点。

Stressing on "fine reputation","quality","service","credit","practice", not only the grandeur.④Encouraging the innovation, not the unearthliness, playing down the effect of entertainment stars or idols, decreasing the fashion index.⑤"personality" is not the "self central". Social sense of responsibility and interpersonal "feeling of affinity" are both intensified.3.1.2 Factor analysis, revealing 19 value element vectors, which include "comfort","personality","simple","fine reputation","responsibility","service","price","wisdom","distinction","enthusiasm","stimulation","taste","sex difference","quality","vigor","idol","fashion","affinity","aesthetic" and so on. Four orientation diagrams coordinated with the average factors and the standard deviations of these 19 value elements, described the multi directional value orientation structure for China college students' sportswear consumption.3.1.3 Clustering analysis are applied to classify the former 19 value elements, which discovered that three inferior group are classified from the college students' consumption group based on the whole specimen data. It could be the reference of enterprise brand building for the orientation of consumption values.3.2 General personal values, self conception and demographic are lead into as three major variables for the interrelationship analysis of sportswear consumption value system.3.2.1 Firstly, the college students having their general values and existing the inferior group feature regarding to the consumption values.

三、研究的主要成果及其意义对中国大学生休闲服消费价值体系进行探索性分析1、首先对中国大学生休闲服消费价值观量化问卷所调查的样本数据进行频数统计趋向性分析，发现呈现的主要特点有：(1)"个性化"和"简约"已成为潮流，而寻"刺激"、找"激情"总体收敛；(2)追求"美感"，更不放弃"舒适"，两者兼得才是完美；(3)重"美誉"、讲"质量"，重"服务"、讲"信用"，求实际、不求高贵，"明智"有素；(4)求新不求怪异，明星、偶像效应淡化、时尚指数不高；(5)"个性化"不是"唯我化"，社会责任感和人际"亲和力"在强化。2、其次对样本数据进行因子分析，揭示出以"舒适"、"个性"、"简约"、"美誉"、"责任"、"服务"、"价格"、"明智"、"独特"、"激情"、"刺激"、"品位"、"性差"、"质量"、"活力"、"偶像"、"时尚"、"亲和"和"美感"等十九个价值元素为矢量的休闲服消费价值体系，并以因子均值和标准差为参数勾画出19个价值元素坐标四方位图，从总体上描述了中国大学生休闲服消费多维的价值取向结构。3、再者进行聚类分析，对上述十九个休闲服消费价值元素作不同量值的分类，发现在样本总量中可以细分为有较大区分度的三个类别，呈现出大学生消费群体中存在休闲服消费价值体系不同的亚群体，可为以消费价值观为取向的企业品牌价值定位提供参考基谱。

By time-varying filtering, we realize the signal selectivity and interference suppression, especially for the signals with time-varying power spectrum. It is shown herein that conventional eigenstructure based methods are lower dimensional special case of the time-frequency subspace fitting method. The closed-form array response estimation algorithms for blind source separation in wireless communication is also developed in the dissertation by exploiting the data structure of second-order statistics of the array output in the presence of multipath. The proposed method achieves array response estimation with little constraint on signal property and propagation environment such as scatters or angular spread. Moreover, the array utilized here can be of arbitrary geometry and even uncalibrated. Since the closed-form solution is obtained, no misconvergency may occur and large amount of computation can be saved. The equivalent feed model and corresponding optimization designation are proposed to realize the downlink multi-user selective transmission. By coherent and non-coherent superposition of the electromagnetical field, multiple beams can be formed using a single array, so that each co-channel user signal is transmitted in each beam and will not interfered with each other. The proposed system scheme implements the digital beamforming and the channel allocation in the base band, therefore is suitable for the utilization of the radio software technology. The feasibility and effectiveness of the proposed model are proved by the RF experiment.

在窄带条件下，GSC－SSF方法还可以提高阵列的虚拟孔径，从而提高估计的性能；可以证明，Cyclic DOA 和SC-SSF方法可看作该方法的特例或近似； 3、提出了二维GSC－SSF方法和宽带谱相关DOA矩阵方法，利用信号的循环平稳特性解决了宽带条件下二维 DOA 估计问题，并具有阵元数少、计算量较小的特点； 4、提出了时频子空间拟合和宽带时频DOA估计算法，将联合时频分析的理论和方法引入到阵列信号的空间谱估计研究中，利用时变滤波实现信号选择性测向和干扰抑制，特别适合于谱时变信号；可以证明传统特征结构法可看作是时频子空间拟合方法的特例； 5、提出了多用户环境下阵列响应的估计方法——CARE方法，该方法对信号结构和传播参数（主要是散射源分布与角度散布）的约束较少，适用于各种几何结构的阵列甚至未校准的阵列，能够直接得到阵列响应的闭式解，因此计算量小、稳健性好，不存在收敛问题； 6、提出了针对多用户下行选择性发送的阵列等效激励模型、优化设计方法及其系统实现方案，通过空间场的相干叠加与非相干叠加使得单一阵列能够形成多个波束，并保证各波束内的用户信号各不相同且相互干扰最小；其系统方案具有在基带实现数字波束成形、信道分配并便于软件无线电实现的特点，其有效性已得到外场实测数据的证实。

the effect of inertia weight on particle swarm optimization is studied,on basis of which adopts four kinds of strategies of inertia weight to regulate the speed of a new quantum delta potential well based particle swarm optimization.a faster and more stabile algorithm,found by comparing the performances of four equations regulated the inertia weight,solves 0/1 knapsack problem.the result of experiment shows that the modified algorithm improves the precision of optimal solution and has a faster speed and a higher efficiency in convergence.in a word,choosing a parameter of inertia weight suitably can improve the performance of new qdpso.

摘 要：在研究惯性权重对基本pso算法影响的基础上，根据惯性权重对粒子群算法影响的特点，采用4种惯性权重策略对一种新的具有量子行为的粒子群算法的速度进行调节，比较每种算法的性能，从中找到一种新的性能更好的改进算法，将其用于求解0-1背包问题。实验结果表明较好地选择惯性权重参数对算法的性能有很大提高，该改进算法在求解0-1背包问题中具有高效性，提高了最优解的精度，同时具有较快的收敛速度。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。