迭级数

By using the tensor product of matrix, stride permutation matrix and matrix power series under the meaning of matrix direct sum, the parallel algorithm, including the scrambling algorithm, can be expressed integrally. This description provides a convenient tool for the study and application of parallel FFT algorithm.

本文提出了矩阵直和意义下幂级数的矩阵运算，同时利用迭代形式的矩阵方程将混合基FFT的并行算法及其数码倒置算法完整地表示出来，为并行FFT算法的研究和应用提供了方便的表示手段。

We also use the Schr〓der transformation, Abel transformation, power series and Dirichlet series theory to discuss the existence and uniquness of analytic solutions for an extensive class of nonlinear iterative equations.

进而还利用Schr〓der变换、Abel变换以及幂级数与Dirichlet级数理论研究一类具有相当广泛性的非线性迭代函数方程解析解的存在性和唯一性问题。

We give the reconstruction of series expansion in lattice-invariant spaces and prove that the improved A-P iterative algorithm is valid in the common shift-invariant spaces. Under adding proper conditions, the improved algorithm holds in the lattice-invariant spaces too.

我们给出了在格不变空间中的级数展开重构，并证明了在一般的平移不变空间中的改进A-P迭代算法也是可行的，说明了在适当增加条件时此改进A-P迭代算法在格不变空间中也是成立的。

A critical velocity was set in every iteration and the value of the critical velocity decreased according to exponential series in every iteration.

其方法是，设置一个随迭代的进行按指数级数减小的临界速度。

Among them, former polynomial expansion detection algorithm based on the classic conclusion ,Gauss－Seidel iterative method which will introduce the same time. Inverse matrix will eventually form into a Taylor series approximation.

其中，前一种算法立足多项式扩展检测的经典结论，同时将Gauss－Seidel迭代方法引入其中，最终将矩阵求逆转化为泰勒级数近似的形式。

Preconditioned method can enhance the Chahine iterative algorithm's stability. Generally speaking, to increase the inverse size classes'number will benefit the measurement precision.

本文提出了针对独立模式高反演粒级数的平滑Chahine迭代算法以及非负平滑Projection迭代算法，明显的提高了反演精度。

In order to solve the problem of chart projection transformation among all projections in shiphandling simulator,using the theory of power series spreading out and the method of trigonometric power series calculating back, a direct and reverse solving algorithm models of meridian arc length , and Gauss projection and Mercator projection transforming algorithm are introduced in this paper.

为了解决船舶操纵模拟器中不同投影方式海图的投影变换问题，应用幂级数展开理论和三角级数回求方法，给出了子午线弧长、等量纬度的直接正反解算法模型及高斯投影与墨卡托投影的相互转化算法。这些算法具有非常高的计算精度，避免了迭代运算，在船舶操纵模拟器中得到广泛应

It is also the base of structure optimization.According to main object characteristics of structural dynamics design,structuraleigenveetor sensitivity computation is,first,be studied.A Neumann series expansionmethod is proposed in accordance with the modal method and is developed to agreewith the structure with rigid body modes.A rapid Neumann series expansion methodfor eigenvector sensitivity is formed;it may greatly improve the efficiency ofcomputing eigenvector derivation.

本文根据结构动力学设计的主要目标特性，首先进行了结构特征向量灵敏度分析研究：形成了计算特征向量灵敏度的Neumann级数展开法，并将其扩展到适用于具有刚体模态的结构特征向量灵敏度分析；研究出计算特征向量灵敏度的快速Neumann级数展开法，该方法大大提高了特征向量灵敏度分析的效率；建立了无需K-1运算的结构特征向量灵敏度分析的共轭梯度迭代法。

The given estimated values of variables in Newton method is a crucial problem for the final solutions, the solutions of the first order approximation of the Fourier series to land surface temperature were used to the input initial given values of the Newton numerical method.

在牛顿迭代解法中，很关键也很困难的一个问题是初始值的给定，本模型中牛顿迭代的初始值是傅立叶级数对地表温度一次逼近得到的结果。

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。

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。