收敛性的

In this paper,new quadratic PEk method and quadratic EPEk method are given for solving a system of linear algebraic equations whose matrix of coefficients is tridiagonal blocked matrix.

建立求解系数矩阵为分块三对角矩阵的线性代数方程组的新型二次PEk方法以及其外插迭代二次EPEk方法，对系数矩阵为对称正定矩阵情形，证明了新型二次PEk方法和二次EPEk方法的可解性和收敛性

The relations among three kinds of structural characteristics of fuzzy measure:(1) pseudometric generating property;(2) pseudometric generating property of type p;(3) null-null additivity,and the convergence for sequence of measurable function on semi-continuous fuzzy measure space are discussed.

李军讨论了下半连续模糊测度的3种结构特性：(1)伪距离生成性质；(2)p类型伪距离生成性质；(3)零-零可加性与半连续模糊测度空间上可测函数序列的收敛性之间的关系。

The results of experiment show that the proposed method, even without any knowledge of diversion probability's prior distribution, has favorable convergence and robustness in finding the optimal solution.

试验结果表明，该方法无需知道转移概率的先验分布，在解空间的全局寻优时具有良好的收敛性和鲁棒性。

The Lipschitzian property of functions involved is researched. An approach of computing a subgradient of the objective functions of the problems is investigated. The basic idea and steps of the algorithm are discussed. Finally, the convergence analysis is given.

研究了模型构成函数的Lipschitzian性，给出了计算目标函数次梯度的方法，分析了算法思想、步骤，最后讨论了算法的收敛性。

In chapter 2, the paper shows the basic conception of subdivision scheme. For unvaried schemes are widely used, the method of analyzing the convergence and smoothness of unvaried schemes is shown.

第二章给出了细分格式的基本概念，由于单变量细分格式的情形应用较为广泛，然后给出了分析变量细分格式收敛性和光滑性的方法。

However, the weighted geometric mean method is simpler than the weighted arithmetic mean method, and the former can keep the reciprocity of the improved judgement matrix without transformation.

理论分析表明：虽然这2种方法都具有收敛性，且均可对一致性较差的判断矩阵进行修正，但加权几何平均法比加权算术平均法简洁，且前者无需通过转换，直接保持了修正后的判断矩阵的互反性。

This thesis focuses on studying the matrix equa-tion problem systematically, and proposed an abstract algorithm of solving the matrixequation with constraints, and established a strict convergence theory. Using this algo-rithm, we can solve the sets of matrix equation satisfying some constraint conditions,such as symmetric, antisymmetric, centrosymmetric, centroskew symmetric, re?exive,antire?exive, bisymmetric, symmetric and antipersymmetric, symmetric orthogonalsymmetric, symmetric orthogonal antisymmetric, Hermite generalized Hamilton ma-trix;So we can solve the problem with this algorithm, if the set of constrain matrixcan make a subspace in matrix space, and this algorithm also can solve the optimalapproximation and least squares problem. So this abstract algorithm has universal andimportant practical value.

本篇硕士论文系统地研究了此类问题，并找到了求解约束矩阵问题的抽象算法，并建立严格的收敛性理论，利用这一算法可求解约束条件为对称矩阵、反对称矩阵、中心对称矩阵、中心反对称矩阵、自反矩阵、反自反矩阵，对称正交对称矩阵、对称正交反对称矩阵、双中心矩阵、Hermite广义Hamilton矩阵等；可以说只要约束矩阵集合在矩阵空间中构成子空间，都可以考虑用此算法求解，而且这一算法还能把矩阵方程解及其最佳逼近，最小二乘解及其最佳逼近统一处理，因此本文算法有普适性和重要的实用价值。

In Chapter Six,we translate the equation of the iterative step of nonsmooth Newton-type method for nonlinear SDP into the conversional linear equations by the tensor technique. By using the equivalency conditions in Chapter Five, we establish the local convergence of this method.

在第六章中，我们通过张量技术把非线性半定规划问题的非光滑牛顿型法迭代步方程转化为一般的线性方程组，并利用第五章中的等价性结论分析了这种方法的局部二次收敛性。

At the end, using back-stepping technique, control laws are designed for each control variable to guarantee the globally uniformly ultimately boundedness of all state variables and the convergency of system output.

控制规律的设计仍采用反步法(Back-stepping)，对于每个不确定项，都设计了一个动态估计环节以应对其影响，最终保证了全部状态变量的一致最终有界性和系统输出的收敛性。

The main work of this thesis is to prove that, in the above two cases, the corresponding BP algorithms with weigh-decay and inner-product penalty are deterministically convergent.

本文主要研究在批处理和在线两种运行模式下，带weigh-decay和inner-product惩罚项的BP算法的收敛性以及引入惩罚项后网络权值的一致有界性。

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。