迭代计算

The Fortran 90 language is used in the program design, the iteration time of single step is decreased, and required storage capacity is reduced.

本文在程序设计中采用Fortran90标准对数值计算进行了优化，单步迭代时间和所占内存均比常规方法减少。

Avioding the iteration step to compute left eigenvector, this method is more simple and more suitable for on-line steady state voltage stability analysis.

由于避免了左特征向量的迭代求解，因此该方法简单实用，计算量小，适于在线静态电压稳定分析的使用。

An automatic FEM refining method is presented in this way,a method of creating transition elements is introduced,and then the refine mesh is analyzed according to the times of iterative educed from computation.

以此提出一种自动的有限元精细划分的算法。介绍构造过渡单元的方法，并根据计算出的迭代次数，得到细网格后进行分析。

The existence of a nonnegative finite difference solution and threemonotone iterative algorithms for the computation of the solu...

主要内容包括利用三种单调迭代算法计算相应的差分解，讨论非负差分解的存在性和唯一性，讨论非定常问题差分解的渐近性。

With the piece-wise linearization for Volt-Ampere characteristics of nonlinear electronic device and the improvement of control strategy in iterative process, the computation efficiency of path planning is improved.

通过对非线性电子器件伏安特性进行分段线性化处理，并且改进迭代过程中的控制策略，使得路径规划方法的计算效率得到提高。

This is the calculation method used for solving linear equations of the iterative method, and has a strong practical!

这是计算方法中用的解线性方程的迭代法，具有很强的实用性！

In this paper, we have studied the dimensional effects, electronic state, the configurations of charge density and spin density for quasi-one-dimensional organic ferromagnets. First, considering interchain interaction, the itineracy of electrons, the electron-electron correlation, electron-phonon interaction and spin correlation in low dimensional system, we proposed an interchain coupling theoretical model for conjugated system and non-conjugated system of organic polymer ferromagnets, respectively. Based on the theoretical model, we studied the electronic property, spin structure, the configuration of dimerization and the stability of the ferromagnetic state with a self-consistent iterative method.

首先我们在考虑准一维有机铁磁体的链间相互作用、电子的巡游性、强的电子-电子关联、电子-声子耦合、自旋关联等因素的基础上，分别对两种类型的有机高聚物铁磁体各自提出一个包含链间耦合的理论模型，用自洽迭代的数值计算方法对其电子性质、自旋结构、二聚化特征及铁磁态的稳定性进行了研究。

The main results of this research are as follows:(1) A parallel algorithm for solving dense matrix linear equations on distributed-memory multi-computer is presented. Convergent velocity of this algorithm is better than parallel Jacobi method"s, and parallelism is better than Gauss-Seidel method"s. According to theoretical analysis, convergent conditions are given. Moreover numerical experiments indicate that results agree with theory.

主要完成了如下研究工作：(1)提出了一种求解系数矩阵为稠密矩阵的线性方程组的适合于MIMD分布式存储的并行迭代算法，该算法设计上兼取了Jacobi算法并行性好的优点和Gauss-Seidel算法收敛速度快的长处，并且在理论上给出了该算法成立的收敛性条件，并通过数值计算验证了此算法结果与理论相符合。

In the iterative, the constant matrixB'and B take the place of variable Jacobian matrix.

这种算法在迭代过程中以不变的系数矩阵和代替变化的雅克比矩阵B'和B''，可以节省存储空间、提高计算速度。

This article uses Quasi-Newton method based on Broyden s principle to obtain Jacobin matrix,this method can calculate Jacobin matrix direc.

文中采用基于Broyden原理的拟牛顿法求解发动机非线性方程组，这种方法可以直接求出第一步迭代后的Jacobi矩阵，从而大幅度提高计算速度。

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。