迭代法

The results provided by this method are in nice agreement with those obtained by thefinite element method,the alternating method,etc.

本方法所得结果与有限元素法、交替迭代法等的现有结果进行了较为广泛的对比，均较吻合。

In the process of smart structure's uncoupled properties recognition, the new recognition method which is combined by initial-value search method and nonlinear Alternating iterative Method has been established.

在智能结构的非耦合物性识别中，建立了由初值搜索法与非线性交错迭代法；相组合的新的物性识别统一性解法。

In this paper,the asymptotic property for two kinds of ecological systems and oscillation for solutions of a neutral differential equations is studied by employing differential inequalities and using eigenvalue analysis,iterative algorithm,induction and comparison theorem etc.Here, the system\'s asymptotic property includes the uniform persistence,the global attractability of the solutions,the asmptotic stability of the solutions and the oscillation of solutions.

本文利用微分不等式、特征根分析法、迭代法、归纳法及比较原理等方法和理论，研究了两类生态模型解的渐近性和一类脉冲中立型微分方程解的振动性，其中包括模型的一致持久生存性，正平衡态的全局吸引性、局部与全局渐近稳定性以及解的振动性。

However, in many practical problem of the linear system question, the linear system of equations has some important characteristic especially in leaning differential equation method and limited element method.

另外，与直接法相比，迭代法还具有一些明显的优点，比如占用计算机的内存单元少、计算程序比较简单、收敛速度比较快等，从而成为近年来解线性方程组采用较多的方法。

HJB equation; quasivariational inequality; domain decomposition; convergence; iterative algorithm; relaxation algorithm; existence; multigrid method

基础科学，数学，数学分析HJB方程；拟变分不等式；区域分解；收敛性；迭代法；松弛算法；存在性；多重网格法

In this Chapter, we establish convergence theorem by using the recurrence relations.

在这一章中，我们是用递归法给出了迭代法的收敛理论。

Highly efficient and stable method of parameter estimation is built. The fitting degree of extensive extreme value distribution and the extremeⅠ,Ⅱ,Ⅲtype distribution was compared, among which the optimal distribution type are researched.

针对极大似然法参数估计的失效问题，将逐步迭代法推广应用于广义极值分布，建立了参数估计的高效稳定算法，并比较广义极值分布与极值Ⅰ、Ⅱ、Ⅲ型分布的拟合度，研究平均风速的最优分布类型。

The convergence of the traditional nonlinear equations is related to the selected initial value, but the convergence of the fixed point method is not related to it.

传统的非线性有限元方程组的数值求解法（牛顿-拉普森迭代法与共轭梯度法）只能求解单值性有限元方程，且其收敛行为与初始值的选择有关，而不动点方法在求解非线性方程组时的收敛行为不受初始值选择的影响，在大范围内是一致收敛的。

By reviewing of the existing algorithms in CGE model, such as Scarf fixed point method, Newton-Raphson method, Tatonnement method, Johanson-Euler method, projected Lagrange method, genetic algorithm and simulated annealing algorithm, this paper expound each algorithm's principle and main problems, pointed out their respective strengths and weaknesses, and finally made a detailed comparative analysis.

本文通过对现有的求解算法进行综述，包括传统的Scarf不动点算法、牛顿迭代法、Tatonnement算法、Johanson-Euler法、投影拉格朗日算法，以及近期兴起的遗传算法和模拟退火算法，扼要说明它们的求解原理及存在的问题，指出各自的优缺点并作了详尽的比较分析与探讨，对于致力于推进CGE建模与仿真求解技术瓶颈突破的研究者们具体重要的参考意义。

The paper taked 20 nodes isoparametric element as an example and put forward a kind of numerical method combined with the Newton iterative algorithm and Gauss integral algorithm to calculate equivalent loads of prestress in body element.

本文以20节点等参单元为例，提出一种运用高斯积分和牛顿迭代法的数值算法计算实体单元的预应力等代荷载，该方法能够适应各种复杂的预应力钢束形状，并适合计算机编程。

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。