迭代法

The traditional methods are gradient methods, Newton's method etc.

传统的方法主要有梯度法、Newton迭代法等。

Newton method and its variant m step Newton method are very important and frequently used for solving these problems.

在诸多解法中，Newton迭代法及其变体M步Newton法是最主要、最常用的方法。

The numerical techniques developed here, including the high accuracy method of using expansions in orthogonal functions in normal direction and the effective algebraic mapping to deal with the problem of infinite region, can raise the calculation precision and the convergence velocity greatly.

文中所发展的方法，如，在法向上采用高精度的高阶谱方法和对无限区域数值问题的更为有效的代数变换处理等，提高了计算精度和收敛速度；同时，通过预估校正迭代法，使抛物化稳定性方程中重要的正规化条件得到满足，保证了数值计算的稳定。

As to externally pressurized bearing this paper successfully developed model with finite element formulations to realize numerical calculation by means of overrelaxation and scale division methods of nonlinear equation.

离散后得到的非线性方程组采用了超松弛迭代法和比例分割法进行求解。

The method takes and combines the advant- ages of both the subspace iteration method and Ritz vecter method.

0引言 目前求大型结构部分模态参数已有许多成熟的方法，如R八z向量法川子空问迭代法，1和Lonozo。

In this thesis, the methods for solving eigenvalue problems and conventional reanalysis methods are studied firstly. Then, a new reanalysis method for real modal reanalysis of structures subjected to topological modification with added degrees of freedom is presented. This method is composed of the single step perturbation method and the Rayleigh-quotient iteration. The numerical examples show that this reanalysis method is very effective and high-quality.

本文首先在对常规的特征值数值求解方法和重分析方法研究的基础上，针对实模态的自由度增加的结构拓扑修改重分析，提出了一种新方法，该方法由于结合了单步摄动法和瑞利商逆迭代法两者的优点，应当是一种比较理想的重分析方法，算例的数值结果也有力的验证了该方法确实是一种高精度、十分有效的实模态重分析方法。

This article is a review of different methods for attenuation correction in SPECT.

综述了常见的SPECT衰减校正方法，包括前、后校正法，本征法和迭代法。

In this paper, Jacobi iteration methods for system of linear equations are derived from mulitparameter projection methods.

从线性方程组的多参数投影法推出Jacobi迭代法。

At present, people usually solve ill-posed problems by variational method anditerative method.

目前，人们通常采用两种途径求解不适定问题：一个是变分法，一个是迭代法。

The equations of the towed cable motion are based on Ablow and Schechter model and six degree-freedom ordinary differential equations are used in the analysis of the motion of a towed body. The partial differential equations are discretized by finite difference method and the transient values of towed body depth and cable tension are computed by Newton Iteration when the heave compensation system performs and the length of the cable varies.

拖缆动力学模型基于Ablow and Schechter模型，拖体采用水下运载体六自由度方程模拟，运用有限差分法离散偏微分方程组和牛顿迭代法计算变缆长情况下拖体深度与拖缆各点张力的动态取值。

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。