迭代法

Some special matrices and numerical characteristics related to iteration solutions of linear systems, convergence and comparison theorems of matrix splittings, preconditioning techniques for iteration solutions of saddle point problems are deeply studied in this thesis.

本文对与大型线性代数方程组迭代求解有关的特殊矩阵和数值特征进行了深入的研究，特别系统地研究了矩阵分裂迭代法的收敛性和比较理论及鞍点问题迭代求解预处理技术。

Dichotomy, a simple iterative method Yi Newton iteration of these three methods for nonlinear equations ro...

二分法，简单迭代法矣牛顿迭代法这三种方法来求非线性的方程的根，比较这三种的收敛性。

At present, many effective iterations are all derived from Newton method.

Newton法是求解非线性方程的一个最基本而且十分重要的迭代方法，目前使用的很多有效的迭代法，都是以Newton法为基础，并由它而得到的。

when computing the next tracing point, the traditional tracing method generally used the iterative method. but the iterative method had to face the following problems.

摘 要：传统的跟踪方法在求下一个跟踪点时一般是采用迭代法，而迭代法会出现初始值的选取和迭代收敛的问题。

In orderto improve the complex subspace iteration method for solving undamped gyroscopiceigenvalue problems, we apply the special properties of undamped gyroscopiceigenvalues to it, so we propose double inverse iteration method and double subspaceiteration method.

为了利用无阻尼陀螺特征值的特殊性质，我们进一步讨论了复子空间迭代法在无阻尼陀螺特征值问题中的应用，并给出了双逆迭代算法和双子空间迭代算法。

The relationships between the eigenvalues of Jacobi iteration matrix and the block AOR iteration matrix make a very important role in our analysis. Then we prove some sufficient conditions for the semiconvergence of the block AOR method.

利用块AOR迭代矩阵和相应的块Jacobi迭代矩阵的特征值之间所存在的关系，我们证明了求解奇异p-循环线性方程组的块AOR迭代法半收敛的一些充分件。

Experiments are developed on different aspects, including the thickness of aluminum filter, choosing of the unattenuated data or not, characteristics of X-ray spectra, sensitivities to errors of attenuation data. Conclusion is that the iteration method is the best estimation technique.

以铝板作为滤波器材料，论文在滤波器厚度（包括最大厚度和最小厚度的选择）、未衰减数据的选取与舍弃、韧致辐射谱和包含特性辐射的光谱、对衰减误差的敏感性等多个层面进行仿真实验，比较分析了矩阵法和迭代法的优缺点，认为迭代法是进行光谱估计的最好方法。

From the view of initial deformation,the dual intercrossed iterative method is developed to determine the initial deformations of cables and hangers,sequential method based on initial deformations to simulate the tensioning process in batches,and converse iterative method in sequential anal.

本文从索初始变形的角度出发，针对该类结构的特点，提出了&双重交叉迭代法&确定拉索和吊杆初始变形，索初始变形&顺序分析法&模拟分批张拉施工过程以及索张拉力&顺序分析逆迭代法&解决张拉力已知时的预应力施工过程模拟问题，并将这三种方法进行不同组合，解决各种情况下的多次、分批张拉施工过程分析的问题，由此确立了一套完整的适合该类结构的预应力全过程分析方法。

Many questions in natural science and engineering canbe transformed into nonlinear equations to be salved,Newton iterative method is an important technique to one-and multi-dimensional variables and iterative process exhibits sensitive dependence on initial guess point.

自然科学与工程中的许多问题都可以转化为非线性方程组的求解问题，牛顿迭代法是重要的一维及多维的迭代技术，其迭代本身对初始点非常敏感。

This dissertation gives the damping iteration method and geome-tric-mean tracing method, both based on inversion of observed ground-water level data, and also gives the proportional iteration (or ortho-gonalization) method based on inversion of hydrogeologic gradient data.

本文建立了用水位观测资料进行反演的阻尼迭代法和几何均值追踪法，利用水力梯度资料进行反演的比例迭代法。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。