迭代法

The complete model of locomotive and vehicle and the exact motion equations of wheel-set are established, in which, three-dimension wheel/rail contact geometry is taken into account and the Kalker's creep theory is employed to analyze the effects of the contact region of wheel/rail. An iterative procedure of solving wheel/rail creep force is proposed to improve the existed calculating method. Finally, the motion equations of vehicle with 23 DOFs are derived using the D'Alembert principle.

建立了较完善的机车车辆分析模型和较精确的轮对运动方程：考虑三维非线性轮轨接触几何关系，用Kalker蠕滑理论研究了轮轨接触区的蠕滑效应，建立了较为详细的轮对运动方程，提出用迭代法来求解轮轨蠕滑力从而对现有蠕滑力求解方法进行了改进，并采用D′Alembert原理推导了23个自由度车辆的运动方程。

Based on the density matrix equations and by means of the iteration method,the optimization of operating gas pressure was studied theoretically.

运用半经典密度矩阵理论，通过迭代法计算了光泵腔式NH3分子亚毫米波激光器的最佳工作气压。

A finite element incremental weighted iteration method, which can avoid divergency and speed up the convergence process,was proposed to solve the problems of tubing buckling in deviated wells.

建立了直井中有重钻柱非线性屈曲平衡方程及相应的泛函表达式，构造了一种能避免发散并加速收敛的有限元增量加权迭代法求解斜直井中钻柱屈曲问题，首次采用直接求解非线性特征值的方法来分析钻柱屈曲问题。

In Chapter 5, the dynamics for the iterative methods in Chapters 2 and 4 is analyzed.

第五章，我们对第二章和第三章中的迭代法的动力行为进行了分析。

Matrix iteration method can be employed to figure out the first eigenvalue and eigenvector of a matrix.

矩阵迭代法是求矩阵的第一阶特征值与特征向量的一种数值方法。

The method is used to solve the motion equation of single pendulum .

将单摆运动方程，通过适当的变化成为上述方程的形式，从而可用此迭代法求

In order to get the λ repeated root s of equation f = 0, where λ∈R~+ and the equation may be underivative, an generalized Newton iterative method was constructed with order 2 as its convergence.

设方程f=0有λ重根，其中λ为任意正实数，函数f可能不可导，给出了求这一类方程的λ重根的一个广义Newton迭代法，并证明了这种方法的收敛阶为2。

Secondly, make amendments to the initial feasible direction in order to adapt it to all the inequations of the optimization model.

具体做法是：首先对非线性优化模型中所有等式约束条件实施拟牛顿迭代法，求得一个可行方向，然后对这个可行方向进行修正，使之满足线性和非线性的不等式约束条件，最后收敛于问题的最优解。

The alternate iterative method in the nonlinear minimizing process has been presented, on the base of finite element method and the least square method.

摘 要：对混凝土框架结构的局部刚度缺损反问题进行了动力学方法研究，在采用有限元最小二乘法的基础上，提出并利用了非线性最小化过程的交错迭代法。

In chapter 2, we deal with boundary value problems of the first order functional differentional equation with impluses, some results of the existence are obtained by using the monotone iterative technique and methods of upper and lower solutions.

第二章讨论一阶脉冲泛函微分方程的边值问题，在合适的条件下利用单调迭代法和上下解方法，获得了若干解的存在性结果。

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。