非收敛的

The Schur subspace iteration method is applied for the dynamic characteristic analysis of damped structure vibration system and coupled fluid－structure system. This method avoids complex computation and has good numerical stability. A accelerated technique and a pre－process method for the system matrix are suggested to improve the computational efficiency. The generalized uncoupled equation is obtained from the Schur matrix and a back substitution scheme of response computaton is developed.

第三部分将非对称特征值问题的Schur子空间迭代法应用于非经典阻尼结构振动系统和流固耦合系统的特征值分析，建立了相应的具体算法，并给出了用以提高迭代收敛速度的迭代加速和矩阵预处理等实用技术；利用Schur矩阵的结构特点，推导了系统方程的动力解耦形式，给出了响应计算的回代求解格式。

Xu and Noor had proved the theorem on convergence of three-step iterations for asymptotically nonexpansive mapping on nonempty closed, bounded, and convex subset of uniformly convex Banach space.

王娴 ，何震Xu和Norr已经证明了建立在一致凸Banach空间的一个非空有界闭凸子集上的渐进非扩张映射的三步迭代的收敛定理问题。

A Lipschitz strictly pseudocontractive map from a nonempty closed convex subset of a Hilbert space into itself was showed to have fixed points, Ishikawa and Mann iterative sequences with errors of a Lipschitz strictly pseudocontractive map was introduced and the iteration processes strongly converges to a fixed point was proved.

证明了在Hilbert空间中的非空闭凸集上Lipschitz严格伪压缩映象有不动点，介绍了Lips-chitz严格伪压缩映像下的的具误差的 Ishikawa和Mann迭代序列并证明了其强收敛性于不动点，其结果把非扩张映像推广到Lipschitz严格伪压缩映象上，改进了一些相关结果。

Key words:the three dimensional contact problem with friction;nonlinearcomplementary;nonsmooth equations;generalized derivative;nonsmoothmethod;convergence analysis

给出了三维摩擦接触问题的一个非光滑混合不动点模型及算法，这种算法无须求导数，没有引进任何额外变量，并且可视为一种三维摩擦接触问题的迭代法，利用非光滑分析和不动点理论对算法做了分析，给出了算法的不动点理论背景及算法的理论分析，为模型解的存在性及算法收敛性提供分析依据，最后给出了相应的数值算例。

The forth algorithm is the same as the third one with an addition of finite termination criteria. Although the latter two algorithms have only linear rate of convergence, they are especially suitable for large-scale and sparse problems, with features of simple formula, small storage, sparsity preservation and easy implementation.

前者借助NCP函数把互补问题转化为等价的非光滑方程组，再用带参数的光滑方程组近似这些非光滑方程组，最后用牛顿型方法求解所得到的光滑方程组，希望通过光滑参数趋于零得到原来互补问题的解；后者基于等价不动点格式，构造了一个光滑迭代算法和一个具有有限终止性质的算法，虽然这种迭代算法仅有线性收敛速度，但由于其格式简单、存储量小、保稀疏性、非常易于计算机实现等特点，故较适用于求解大规模稀疏问题。

In the research to demand of International reserves,first, according to the affective character of demand to transition of International reserves, choosing the decision theory of Markov and dynamic transition equation as basic model, the paper has set up two transition methods--- stationary matrix and dynamic matrix, the later matrix has improved the sensitive reaction to time and velocity. Second, combining with knowledge of linear algebra, the paper has analyzed and testified the positive associated relation between transition matrix elements on main diagonal and the convergent speed of system, and explained why international reserves transition embodies the character under new situation and why the transition process can be accelerated by the strike of international idle money. Third,on the quantitative calculating to elements of transition matrix,referring to multiplication theory and decomposing-composing method of system, the paper has transformed main three-factor deciding confidence of international monetary into detail modulus by comparing analysis measure,now the matrix has been decided.

在国际储备的需求分析研究中，本文首先选择马尔可夫转移方程作为基础模型，根据需求对外汇储备结构的影响特点，提出非定常转移矩阵变换方法，拓展了马尔可夫变换对时间和速度的敏感性；结合线性代数知识，分析证明了定常转移矩阵的主对角线元素值的大小与系统的收敛速度的正向关联关系，并利用结论解释了国际货币新动向下外汇储备转换表现出的趋势特点以及国际游资冲击对国际货币结构变化的加速影响；在转移矩阵元素的量化计算上，本文参考乘数理论和系统分解合成原理，采用对比分析方法把影响国际货币信心的三大要素综合量化为转移偏好系数，然后根据转移偏好系数确定转移矩阵的元素值，其中还分别具体给出了定常转移矩阵和非定常转移矩阵的计算方法及在变换中的使用方法，从而不仅在定量分析上应证了定性分析结论，而且反映了随时间变化的美圆、欧元、日圆的比例结构均衡过程。

Suppose there exist a strictly increasing function Φ: 0,∞→

若存在严格增加函数Φ：[0，∞]→0，∞，Φ(0)=0，jx(下标 n+1-x∈Jx(下标 n+1-x使得〈T(上标 n-1)x(下标 n+1)-T(上标 n-1)x， jx(下标 n+1-x〉≤k‖x(下标 n+1)-x‖^2-Φ‖x(下标 n+1-x‖，n≥1，x是T的不动点，在对参数的一些限制条件下，本文证明了迭代序列｛x｝强收敛于非自映象T的不动点x，其目的是把对渐近伪压缩映象的迭代结果推广到渐近伪压缩非自映象上，从而推广了以前的结果。

In this paper, the problem of an iterative sequence approximation a common fixed point for nonexpansive non-self mappings is studied in real uniformly convex Banach space, then we obtain a strongly convergence theorem.

在实一致凸Banach空间中，讨论了关于非扩张非自映射序列逼近公共不动点的问题，获得了一个强收敛定理，改进和推广了现有文献的一些相应结果。

It is proved that the dual time step algorithm is efficient in the simulation of unsteady flow with the prediction of vortex shedding over circular cylinders and shock buffeting over bicircular airfoils.

在非定常流动的数值模拟中引入隐式双重时间步方法，并对2种经典的非定常流动现象进行计算，取得令人满意的结果，证明双重时间步方法具有较好的精度和较快的收敛速度。

A non-uniformly windowed pyramidical architecture is proposed, the normalizations of the feature vectors of two extraction algorithms are investgated and the Polak-Ribiere learning algorithm is modified to guarantee the weight vector not to converge to non-stable local minima.

文中提出了一种带非均匀窗形式的金字塔状多层神经网络模型I研究了两种特征提取方法的向量规整问题，改进了Polak—Rjbiere学习算法并证明它能够保证连结权向量不收敛到非稳定局部极小点。

They weren't aggressive, but I yelled and threw a rock in their direction to get them off the trail and away from me, just in case.

他们没有侵略性，但我大喊，并在他们的方向扔石头让他们过的线索，远离我，以防万一。

In slot 2 in your bag put wrapping paper, quantity does not matter in this case.

在你的书包里槽2把包装纸、数量无关紧要。