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An iterative algorithm for a class of set- value d mixed variational inequalities is presented by means of resolvent operators of set- value d mappings, and the convergence of the iterative algorithm is discussed.

摘要利用集值映射的预解算子，提出了求解一类集值混合变分不等式问题的迭代算法，并讨论了该算法的收敛性，推广了已有文献的结果。

Nonlinear equations of the iterative solution, including : simple iterative method, Newton, secant, to the Newton law.

非线性方程组的迭代解法，包括：简单迭代法、Newton法、割线法、拟Newton法等。

We analyze the advantage of the simple iterative method over Newton method at last. The numerical examples show that the more computational time has saved by the simple iterative method than the Newton method.

最后分析了简单迭代和牛顿迭代的优劣对比，数值算例表明在同样精度下简单迭代更节约计算时间。

In the solution of the Difichlet boundary problem ofLaplace equations, we provide an effective method for determining the spectral radiusand the best slack variable of block basic iterative methods. At the same time, wepresent the spectral radius and the best slack variable of basic iterative methods from thenine-point difference scheme.

在解决Laplace方程Dirichlet边值问题上，文章为确定块基本迭代方法的谱半径和SOR方法最优松弛因子提供了一个有效的方法，并推导了九点差分格式下的块基本迭代方法的谱半径和SOR方法最优松弛因子。

For solving the linear system with the iterative method, it is very important to estimate the spectral radius of the iterative matrices.

在用迭代法解线性方程组时，迭代矩阵的谱半径估计在迭代法的收敛性分析中起着重要的作用。

In chapter 2, for the iterative matrix M~(-1)N in solving linear system, upper bounds of the spectral radius of some iterative matrix are discussed.

第二章针对迭代求解线性方程组中的迭代矩阵M~(-1)N，讨论了其谱半径的上界估计。

For example,,,where .2.Convergence of the iterative method: firstly I give a new upper bound for the spectral radius of iterative matrix , where is a double strictly diagonal dominant matrix.

迭代法的收敛性分析：首先给出了一般迭代阵谱半径新的上界估计，其中矩阵为双严格对角占优矩阵，是一种比严格对角占优更广泛的矩阵类。

By introducing the nonlinear complementarity problem function, the Karush-Kuhn-Tucker conditions of OPF model are transformed equivalently into a set of semismooth nonlinear algebraic equations. Then the set of semismooth equations can be solved by a semismooth L-M method based on the subdifferential. The method belongs to Newton-type method. It can ensure the positive defmitiveness of the iterative coefficient matrix by using the L-M parameter, which avoids the ill-conditioning of iterative equations. The method, requiring only the approximate solution of a linear system at each iteration, is quite applicable to the large-scale cases.

在利用非线性互补函数将OPF模型的KKT条件转化为半光滑非线性代数方程组后，采用基于次微分的半光滑L-M法求解，该方法属于牛顿法范畴，可通过对L-M参数的调整保证迭代系数矩阵的正定性，克服了系数矩阵的奇异引起的"病态"，且该方法在确定搜索方向时只需求解线性系统的加热器近似解，适用于大规模系统的求解。

An iterative algorithm based on MRP is used to get the saliency scores of sentences. The evaluation shows that the iterative algorithm converges rapidly. Compared with the traditional summarizing method and MS Word Summarizer, the sentence weighting method based on MRP can improve the summarizing performance.

实验结果表明，基于MRP的迭代算法收敛速度快；与传统的自动文摘方法和MS Word Summarizer相比，所提出的基于MRP的句子加权方法可以使自动文摘系统具有更好的性能。

In SMFSIA/CAG, to increase computational efficiency in solving the matrix equation, both the speed of the iterative convergence and the matrix-vector multiplication are picked up based on iterative theory. The extended formula of the high order Taylor's series about the horizontal distance is derived. The relationship between the Taylor's series or the neighborhood distance and the efficiency of the arithmetic are analyzed.

在SMFSIA/CAG中，基于迭代法的原理，通过加快迭代收敛速度和加速矩阵向量积两个方面对该算法进行了改进，推导了关于平面展开的高阶泰勒级数展开公式，并对近场相关距离和泰勒级数展开阶数对算法效率的影响进行了分析。

Nowadays, most of research are to build a transmutative Petri Nets through adding controlling place sets, controlling arc sets and controlling policy to the basic Petri Nets, while the Controlled Petri Nets could be used to argue many controlling theory problems conveniently and to induce many logically and physically supervisory and solve the Event Feedback Controlling Problems and State Feedback Controlling Problem in DEDS supervisory theory.

目前大多数的研究表现为在变形后的受控Petri网基础上，利用各种方法求得各种逻辑型、结构型控制器，解决DEDS监控理论中的事件反馈控制问题与状态反馈控制问题。

On one hand, there are discussions with the works council and union about extension of short time working up to the end of September.

一方面，有讨论，工程理事会和联盟关于延长工作时间短至9月底。