收敛性

It investigates mainly infinite matrix conver-gence、infinite matrix transformations、the automatic continuity and boundedness of infinitematrix operators、infinite matrix topological algebras、invariant theory、infinite matrix meth-ods、compact operators series and Eberlein-Smulian theorem,etc.

主要研究了无穷矩阵收敛、无穷矩阵变换、无穷矩阵算子的自连续性和自有界性、无穷矩阵拓扑代数、不变性理论、无穷矩阵方法、紧算子级数与Eberlein-Smulian定理等。

The Bidiagonal matrix method for the simulation of distillation and catalytic distillation is developed. The bidiagonal matrix method is proved to be better in convergcnce and stability by compared with the tridiagonal matrix method.

在多组分精馏塔的稳态模拟计算中，三对角矩阵法具有占用计算机内存少，无需计算偏导数矩阵等优点，但对强非理想性体系有时计算不收敛。

The quasi-Newton recursive prediction error identification method has suchproperties as fast convergency,unbiasedness and numerical robustness.L.

预报误差的高斯一牛顿迭代法具有收敛快、无偏性和数据稳定性好的特点。L。

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。

In an appropriate condition,the βn,σn of their asymptotic normalities and the gn of optimal weak convergence rate were obtained.

在适当的条件下，得到^βn，^nσ的渐近正态性和^gn最优弱收敛速度

The alterative direct iterative, strong implicit procedure, preconditioning transpose-free variant of quasi-minimum residual method and biconjugate gradient stabilized method of the Krylov subspace methods were implemented in SIMPLER algorithm to solve the algebraic equations.

将交替方向隐式、强隐及Krylov子空间法中的TFQMR、Bi-CGSTAB方法实施于SIMPLER算法，作为其内迭代求解方法，比较了不同代数方程求解方法的收敛速度，并首次分析了它们对算法健壮性的影响。

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。

Backsteppnig control is applied to the positioning of ironless linear motor stage in this thesis. The controller design starts from a lower dimension subsystem and design a Lyapunov candidate for it. By choosing some appropriate virtual control input, the stability of the subsystem is guaranteed. Then extend to a larger system and choose a stabilizing control input for the extended Lyapunov candidate. The procedure is repeated until the overall system's actual control input appears, Again, the overall system's stability is guaranteed when the control input is appropriately chosen.

本论主要探讨逆向步进控制器在线性马达轨迹之控制，控制器之设计方式是由后往前一步一步推导，每一步推导的子系统，均满足Lyapunov稳定法则，在由后往前一步一步推导过程中，每往前推导一步，均必须符合最先所假设的条件与设计，直到方程式与系统的控制输入出现关连性，利用所设计之控制输入将系统的非线性问题予以解决，并因满足Lyapunov稳定法则而收敛。

We also provide the ergodic convergence theorems for semitopological nonexpansive type mappings in the reflexive Banach in Chapter 3. By this theorem we can get the main results in [13]14[15][16], and we should notice that their methods do not extend beyond Lipschitzian mappings.

本文第三章在自反的Banach空间中给出了一般拓扑半群上渐近非扩张型半群的遍历收敛定理与其殆轨道情形的等价性，从而利用本章中的定理可以直接推得文[13][14][15][16]中的主要结果。

A filtered-X subband precompensation approach is presented, which controls the delay, increases the convergence rate and reduces the computational complexity. In addition, the neural network is used to model the non-linear noise.

此外，利用神经网络来精细模拟实际噪声的高度非线性性，提出模糊归一化收敛步长调整方法以控制开环方案带来的额外误差能量，并给出了数学证明。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。