迭代计算

Aiming at the strong coupling characteristic during the multi-disciplinary optimization process of hypersonic aerocraft, in order to reduce computing time and increase the feasibility of optimization process, this paper adopted the approximate method to build the responding model between disciplines, In this paper, under the condition of ensuring the engine stable and high efficient , the designing work also consider the whole aerocraft performance sufficiently from the effect of forebody and afterbody.

针对高超音速飞行器多学科设计优化过程中的强耦合特性，为了减少计算时间，提高优化过程的可行性，采用近似的方法来建立学科之间的响应模型，以此来减少每次迭代时所用的大量计算时间。

And the energy balance equation is applied to describe the temperature field axial orientated.

对流道的径向瞬态温度场分布进行差分求解，对流道轴向的温度分布运用能量平衡方程建立数学模型，并采用松弛迭代求解；最后，考虑流动和冷却过程的温度场分布，对流道径向和轴向温度场的计算结果进行了耦合分析，解决了长期以来只能依靠经验计算热流道温度场的局限。

It is related to the variational inequality problem, bilinear programming, nonlinear equation. So there is actual meaning and theories value to study how to solve it.In recent years, many algorithms for solving the generalized linear complementarity problem are put forward. But they basically belong to the traditional iterative methods, and may not be efficient since the computing time required for a solution is greatly dependent on the dimension, structure of the problem and the complexity of the algorithm used. Different from the traditional algorithms, the neural network has many advantages on calculations and real-time applications for its inherent massive parallelism and electric circuit implementation.

近年来，人们对广义线性互补问题提出了许多算法，但这些方法基本上属于传统的迭代法，由于它们的计算时间极大地依赖于问题的规模、维数以及所使用的算法，因此很难满足实时并行的要求，与传统数值方法不同，由于内在的并行分布处理信息的特点及电路实现的潜能，神经网络有着许多计算上的优势和实时性的应用，自Hopfield提出著名的人工神经网络模型-Hopfield神经网络，并将其成功应用于优化问题后，用神经网络求解优化问题得到了相当深入的研究，并取得了许多重要的成果。

Besides, as to inpainting problem in wavelet domain, we introduce a new iterative model. In this model low frequency and high frequency will carry on processing separately, enormous speed up the image repair convergence rate, and even if as high as 90% wavelet coefficient have been lost, this model will also be able to have the very good repair effect. In the old model, to compute the curvature we have to transform the coefficients to the pixel domain, and then transform back to the coefficient domain for several times and this method can solve this problem and speed up the iterative convergence.

其次针对小波域中图像修复的问题，本文提出了一种新的小波域图像修复模型，该模型根据小波变换后系数相关性的特点，将低频和高频分别进行处理，极大的加快了图像修复的收敛速度，并且即使丢失高达90%的小波系数，该模型也会有很好的修复效果，有效的解决了传统的TV- Wavelet模型在计算图像的平均曲率WCURV时，需要反复进行小波分解与重构的计算，迭代速度慢的问题。

The simulation of design has been conducted by matrix method combined with iterative method.

操作型模型分别以T_0、T_K、处理量F_0、出料浓度x_等不同控制变量为未知变量并采用矩阵法结合迭代法进行操作模拟计算；在操作模拟计算的基础上，建立了复杂多效蒸发系统操作优化模型，该模型以浓缩成本最小为优化目标，以T_K和F_0为决策变量，采用遗传算法结合矩阵法求解。

Practical calculation shows that the proposed method can improve the convergence under large power angle conditions and also reduce the computing time by more than 80 percent.

实例计算表明，场路耦合端点量迭代法能改善大功角稳态工况下算法的收敛性，并使计算时间缩短了80%以上。

In view of the tedious and mistakable manual calculation in measuring Gauss projection,coordinate zone transformation and meridian convergence,an itera-tive approximation method is adopted and programmed by BASIC to imple-ment the direct and converse calculation of Gauss projection and computer cal-culation of meridian convergence angle.

针对测量工作中人工进行高斯投影、坐标换带和平面子午线收敛角计算非常麻烦又容易出错的问题，采用迭代法趋近求值，用BASIC语言编制了相应的计算机程序，实现了上述计算。

We construct a family of iterative mappings, which yield cyclic windows of variant size in the dynamical plane by incorporating cosine functions and non-linear angle variables with parameters. Chaotic attractors and filled-in Julia sets in the different cyclic windows are created by establishing the coordinates of any cyclic windows and the maximal window, then clarifying the relationship of corresponding points between these cyclic windows. The respective images in different windows are continuous but with individual structures.

该算法采用余弦函数及含参的非线性角度变量构造一族使动力平面上各周期窗口的尺度变化的迭代映射；通过计算任意周期窗口和最大周期窗口得出窗口间相应点之间的非线性对应关系，并构造出各周期窗口中的混沌吸引子和充满Julia集，其图案是连续的且结构不同的；选用不同的周期窗口作为基本计算区域，使之与正方形像素矩阵对应，并构造出基本图元，实现了用一个映射构造出多个平面排列图案的算法。

By using the method for positive term resolution of equations of higher degree, all non-zero real roots of a real coefficient equation of higher degreewere obtained by determiningthe abscissas of intersection points of two monotonically increasing concave functions in the first quadrant of a planar rectangular coordinate system.

用高次方程正项分解方法，将求解实系数高次方程非零实数根的问题，转化成求解两单调上升凹函数在平面直角系第一象限内交点横坐标的等价问题；给出了基于共享存储多指令流多数据流并行计算模型求解任意实系数高次方程全部实数根的大范围收敛性异步并行迭代算法，并分析了算法计算的复杂程度。

In SLDMINV the invariance of the Krylov subspace is invoked, making the main computation reduced into almost real arithmetic, and thus lowering the computation amount markedly. In the meantime, the iteration is performed in the Krylov subspace generated from the inverse of the coefficient matrix and so the convergent speed is enhanced greatly, leading to two orders of the magnitude improvement over standard SLDM.

SLDMINV中运用了Krylov子空间不变性技巧，这使得计算基本化为实运算，显著降低了计算量；同时在由系数矩阵的逆构成的子空间上进行迭代，收敛速度大大加快，较之SLDM提高两个量级。

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。