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An optimal algorithm of the generalized Jacobi method is developed to solve the generalized eigen-problems in the finite element analysis of structural problems.

针对有限单元法结构分析中的对称方阵广义特征值问题，提出广义 Jacobi方法的一种优化算法。

Chapter 4In this chapter,we applied the generalized Laguerre polynomial as the basis functions and introduced the linear combination technique into WBEPM theory.He atom ground-state energy is studied by using double generalized Laguerre polynomial.The result obtained from this method is at the same level with the other theoretical methods.

第四章本章用广义拉盖尔函数作为基函数，将线性组合技术引入到WBEPM理论中，对He原子的基态能量做了双广义拉盖尔函数的研究，得到可与现有理论方法相比照的结果。

OD estimation was divided into fixed steps, with every step containing a bi-level programming. The upper-level problem was a generalized least squares estimator, while the lower level problem was a stochastic user equilibrium model. Namely, based on generalized least squares estimator and stochastic user equilibrium, a new estimator of the OD matrix was proposed by target matrix and traffic counts updating.

将OD估计分为固定的步数，每一步都是一个双层规划，上层为广义最小二乘估计，下层为随机用户均衡分配模型，即以广义最小二乘估计和随机用户均衡分配模型为基础，通过更新估计模型中目标矩阵和实测路段上的流量来估计OD矩阵。

This paper investigates alternating iterative method and generalized alternating method for the solution of a large linear system, extend the convergence theorem and comparison theorem for generalized or alternating iterative method when the coefficient are Hermitian positive definite systems.

本文主要研究了大型线性方程组的交替迭代法及迭代法的各种变形，给出了当系数矩阵为Hermitian正定矩阵时各类迭代法的收敛原理及其相应的比较理论。

In chapter two,we consider a lumped mass generalized difference scheme for linear integro-differential equation in two dimensions.Lp and error estimates of the generalized Ritz-Volterra projection u ? V and and -norm error estimates of Dk = 1,2 are made,then we obtain and -norm error estimates of u?

第二章考虑二维线性积分微分方程的广义差分集中质量法，建立了广义Ritz-Volterra投影，得到u-V_h~*u的W~(1，p)和L~p(2≤p≤∞)模误差估计和D_t~k，k=1，2的V~p和W~(1，p)(2≤p≤∞)模误差估计，从而得到u-u_h的最优W~(1，p)和L~p(2≤p≤∞)模误差估计。

Under certain donditions ,the existence of generalized synchronization can be turned to the problem of compression fixed point in the family of Lipschitz functions.Theoretical proofs are proposed to the Lipschitz smooth,H lder continuity and exponential attractive property of generalized synchronization manifold.

若满足一定条件，广义同步流形的存在性问题可转化为Lipschitz函数族压缩不动点问题，并且理论上证明了两类广义同步流形的Lipschitz光滑性、H lder连续性和指数吸引性。

According to the existence results of general equilibrium problems and vector equilibrium problems have been studied more and more. Inspired and motivated by these research results, this paper is devoted to study systematically a class of equilibrium problems, which is unify and extension of a large number of known equilibrium problems and variational inequalities problems. The research is carried on from three aspects.Firstly, in finitely continuous topological spaces, we introduce four new types of the system of generalized vector quasi-equilibrium problems, and we derive some existence results of a solution for the system of generalized vector quasi-equilibrium problems via the maximal element theorems in product finitely continuous topological spaces.Secondly, in complete metric spaces, we provide the Ekeland variational principle to equilibrium problems with set-valued maps. And via the Ekeland variational principle, existence results for vector equilibrium problem with set-valued maps and the system of vector equilibrium problem with set-valued maps.

针对一般的均衡问题和向量均衡问题解的存在性，已有许多研究成果，受这些成果的启发，本文主要从理论上较为系统地研究了一类均衡问题，它统一和推广了许多已有的均衡问题和变分不等式问题，研究分有三个方面；首先，在有限连续拓扑空间中，我们提出了四类广义向量拟均衡系，并借助于有限连续拓扑空间中的极大元定理讨论了这四类均衡系问题的解的存在性问题，然后，在完备度量空间中，我们给出了关于集值均衡问题的Ekeland变分原理，并利用Ekeland变分原理分别讨论了集值向量均衡问题和集值向量均衡系问题的解的存在性。

This is the core part of the whole paper.Based on maximum likelihood estimator of generalized linear model which was done before,we apply M-estimator to generalized linear model.

这一部分是本篇文章的核心部分，主要是根据现有文献中对广义线性模型中未知参数β的极大似然估计的方法，我们引入了广义线性模型的M-估计。

Using the generalized mixed variational principle of elastic mechanics, GMVP of Reissner plates is derived, and generalized mixed finite elements method of Reissner plates is established too.

用一般弹性体的广义混合变分原理，导出了适合 Reissner板弯曲问题的广义混合变分原理及其有限元广义混合法。

The second chapter discussed the definition and nature of dashes inverse A in generalized inverse as well as its application in compatible linear equations. The third chapter discussed the definition and calculation of the minimum norm inverse A in generalized inverse, as well as the Minimal Norm Solution of its compatible linear equations Ax = b.

前言从引进广义逆矩阵的定义着手，介绍了它的历史概况以及发展的背景及其意义；第1章从广义逆的发展历程讨论由Moore-Penrose方程确定的各种广义逆的定义；第2章讨论广义逆中的减号逆A 的定义及性质以及在相容线性方程组的应用；第3章讨论广义逆中的最小范数逆A 的定义及计算以及它与相容线性方程组Ax=b的极小范数解。

World War II: Battle of Saipan - Americans take Saipan.

1944年的今天，美国在塞班战役中拿下塞班岛。

When the scorner, the rejecter of truth, has become presumptuous; when the routine of work in the various money-making lines is carried on without regard to principle; when the student is eagerly seeking knowledge of everything but his Bible, Christ comes as a thief.{DA 635.3

当讥诮和拒绝真理的人，到了任意妄为时，当追求财利者罔顾按道义经营谋利时，当学人正在兢兢业业地研究各种知识，而单把圣经丢在一边时，基督要像贼一样来临。