迭代计算

The solution of the model is discussed and an effective algorithm based on the idea of layered iteration is given.

讨论了该模型的求解方法，并结合分层迭代的思想给出了一个有效的算法，最后借助于计算机技术实现了对模型的仿真计算。

The theoretical analysis and experimental results show that the result of the first one has bug error with optimal results, and the second one is superior to the former, and the third one is best, which can get the optimal result based on least upper bound of error probability.

证实了"基于最小错误概率上界特征提取"是目前可以用迭代算法完成的最好的特征提取，而"基于马氏距离特征提取"在错误概率上界上升很小的代价下，简化了计算量，也是一种可行的方法。

The author puts emphasis on the control method of self-adaptation arc length, the criterion of iterative convergence, and discriminant mark of failure, then, works out appropriate computer software.

重点讨论了自适应的弧长控制法，迭代收敛标准、破坏判别标志等技术问题，编制了相应的计算软件。

In this system,arc length of the curve between two points is calculated by Simpson method,and then observer's position and orientation at every frame are deduced by bisection.

通过Simpson法计算两点之间曲线弧长，二分法迭代得到观察者每一帧时所处的视点和视角。

An incremental-iterative method based on the Newton-Raphson method combined with constant arc length of incremental displacement vector is employed for the solution of nonlinear equilibrium equations.

本文解非线性平衡方程式式的数值计算方法是基於牛顿－拉福森(Newton-Raphson)法配合弧长控制法的增量迭代法。

On the basis of introducing the fixed point of Banach theorem, this paper firstly elaborates the important application of the existence of the solution of the linear algebraic equation and the ordinary differential equation, then it narrates the important application of obtaining the leading Newton repetitive process and the natural number the inferior square root and the equation root in the approximate calculation.

本文在介绍Banach不动点定理的基础上，首先阐述了其在线形代数方程、常微分方程解的存在性中的重要应用；然后讲述了其在求导Newton迭代法、求自然数的次平方根、求方程根的近似计算中的重要应用；最后，介绍了其在求一类递推数列极限中的应用。

In view of convergence of iterative arithmetic, the arithmetic of selfadjusting the linear search directions during iteration was put forward based on practice, which guaranteed fast convergence and robustness of the system.

5对于Newton-Rapson迭代过程，根据实践，提出自动控制和调节收敛因子的算法，使系统具有较高的收敛性和计算稳定性。

The existence and Lipschitz continuity of the J-proximal mapping are proved. By using the properties of J-proximal mapping, a class of generalized mixed variational inequalities is studied in Banach spaces. The existence and uniqueness of solutions are established.

证明了J-近似映射的存在性和Lipschitz连续性，运用J-近似映射的这些性质，研究了Banach空间中的一类广义变分不等式，提出了计算广义混合变分不等式的解的一个新的迭代算法，并进行了分析。

We construct algorithms in which directions are computed by these two systems and the step-sizes are generated by Armijo line search to solve the original constrained optimization problem and prove that the discrete scheme based on the differential equation system with the second order information has the locally quadratic convergence rate under the local Lipschitz condition.

我们构造了搜索方向由两个微分系统计算，步长采用Armijo线搜索的算法分别求解这个约束最优化问题，在局部Lipschitz条件下基于二阶信息的微分方程系统的迭代方法具有二阶的收敛速度。

A method for extracting the beta-function and phase of the beam position monitors and the corrector magnets from the measured response matrix based on storage ring theoretical model is presented.

根据电子储存环理论模型，采用迭代方法从实测响应矩阵计算束流横向振荡的振幅函数和相位。

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。