迭

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。

But ECT technology has the following characteristics: 1 the measured capacitance and its change induced by the measured material concentration variation are very small, but the stray capacitances of co-axial screening cable and CMOS switches are relative very large, so the capacitance detecting is easily affected by the stray capacitances, 2 the electric fields in the sensors detecting region is affected by the permittivity distribution, non-uniformity of the space responsive sensitivity is very high, and the image reconstruction is undetermined.

但由于ECT技术中，首先所检测的微电容量及其因物流相含率的变化所引起的变化量很小，而由相关的连接同轴屏蔽电缆与切换CMOS开关所引入的杂散电容远远大于测量电容，微电容的测量容易受杂散电容等的影响；其次，多电极电容传感器测量区内的电场受介质分布的影响，且测量区内的空间响应灵敏度极不均衡，其影响图像重建的不确定性；其三，ECT中的图像重建，由于其是一个欠定问题的求解，在迭代求解方法中，迭代的初值影响迭代过程收敛到近似解的速度；其四，对于气/固两相流应用而言，由于ECT系统在线标定的难以实现，管壁磨损等因素的影响制约该技术应用于生产工艺中气/固两相流的长期连续检测。

On the basis of analyzing the relationship between the coincidence coefficient and the gear bearing capacity in gear drives, the coincidence coefficient round number design method and the coincidence coefficient equation represented by the gear basic parameters.

对齿轮啮合传动中重迭系数与齿轮承载能力的关系进行了初步的探讨和分析，并推导出用齿轮基本参数直接表达的重迭系数方程和提出了"重迭系数圆整设计法"的概念。

It usually has a so-called superlinear convergence behavior. The rate of convergence seems to improve as the iteration proceeds. For another say, the rate of residual variable will be improved as we increase its iteration.

GMRES算法在迭代过程中通常表现出一种加速收敛行为，随着迭代次数的增加，这种加速收敛现象越明显，即残量收敛会随着迭代步数的增加而逐渐得到改善。

If the iterative step is greater than a certain number, the fictitious equilibrium force will change simply with factor of slope.The algebraic method is efficient to obtain a convergence value of safety factor.

研究结果表明：基于给出的算法，通过迭代求解安全系数，收敛速度快；在迭代初期，平衡力与安全系数间有较复杂的对应关系；当迭代次数大于某一值后，平衡力随安全系数的增加而单调地变化。

In Chapter 1, we summarize several iterative methods and their convergence condition, the techniques in proving the iterative methodss convergence theorem.

现在，迭代法的研究日益成为解决各种非线性问题的核心，迭代法优劣的选择直接影响到各种非线性问题的结果的良好，所以迭代法的研究有着十分重要的科学价值和实际意义。

Tan and Xu [1] had proved the theorem on convergence of Ishikawa iteration processes of asymptotically nonexpansive mapping on a compact convex subset of a uniform convex Banach space , Then Liu Qihou [3] presents the necessary and sufficient conditions for the Ishikawa iteration of asymptotically quasi-nonexpansive mapping with an error member on a Banach space convergent to a fixed point . Xu and Noor [5] had proved the theorem on convergence of three-step iterations of asymptotically nonexpansive mapping on nonempty closed, bounded and convex subset of uniformly convex Banach space.

Tan和Xu已经证明了建立在一致凸Banach空间紧凸子集上的渐进非扩张映射的Ishikawa迭代序列的收敛原理，随之，刘齐侯又阐述了Banach空间上渐进准非扩张映射T的具误差的Ishikawa迭代序列收敛于T的不动点的充分必要条件；之后，Xu和Noor也证明了定义在一致凸Banach空间某非空有界闭凸子集上的渐进非扩张映射的三步迭代序列的收敛原理。

Introduces the Julia set's definiens of Newton iteration function. With the aid of computer and the theory method ,this paper discusses the Newton iteration function's Julia set and Julia set's fractal structure of polynomial f=z 4-1 on complex plane , and also shows the Julia set's graph.

介绍了复平面上Newton迭代函数的Julia集的定义，借助计算机迭代制图及理论方法讨论了复平面上4次复多项式f＝z4－1的Newton迭代函数的Julia集及Julia集的分形结构，给出了其Julia集的分形图形。

Since the B-spline is a locally supported function, the smoothing formula can be strictly limited in a neighborhood of each point. The smoothing surface defined by the smoothing formula has the same convexity as that of the original image. Secondly, the edge points are detected by either computing the local extremum points of the directional derivative or computing zero-crossing of the second-order directional derivative of the smoothing surface. Finally, an example of an edge detector is given.

针对反卷积视觉模型的病态性，增加了适当的约束，给出了基于低松弛迭代格式的快速自适应滤波算法，对于一个N×N输入图象，由于变换核的局部支撑性质以及低松弛迭代格式的引入，使得快速自适应滤波算法的计算复杂度降为象素个数N〓的线性量阶N〓，就最小二乘算法的复杂性而言，优于不动点迭代算法的O以及基于FFT的预处理共轭梯度算法的O。

In Chapter 3, existence of quasi-convex, quasi-concave, convex and concave solutions of a linear iterative functional equation are studied.

曾经有人讨论了凸迭代根和凹迭代根的存在性，但对更一般的方程——线性型迭代方程的解的凹凸性尚无结果。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。