迭代法

When the systems are singular, one requires only the semiconvergence of the iterative method.

然而当线性方程组奇异时，我们只能要求迭代法半收敛。

Secondly, we discuss the semiconvergence of the block AOR method for solving singular linear systems with p-cyclic matrices.

其次，我们研究了求解系数矩阵为奇异p-循环矩阵的线性方程组的块加速超松弛迭代法的半收敛性。

Singular linear systems; Iterative methods;AOR method; JOR method; Rank deficient least squares problems;Semiconvergence; Optimum parameters; P-cyclic matrix; Consistently ordered matrix; Preconditioning; Matrix pencil; Eigenvalue bounds; Support number

奇异线性方程组；迭代法；AOR 方法；JOR方法；亏秩最小二乘问题；半收敛性；最优参数；P-循环矩阵；相容次序矩阵；预处理；矩阵对；特征界；支撑数

To save the memory of computer,separate-al- ternate method is used.This makes it practicable to use micro-com- puter.

为节省计算机内存，用分离迭代法进行求解，使其在微机上得以实现。

Numerical analysis algorithm Jacobi iteration, using C language.

数值分析算法雅可比迭代法，用C语言实现。

On the basis of solute transport theory, the coal gangue eluviated in Xinqiu in Fuxin coal miming area was studied for the pollution of groundwater. The mechanism of coal gangue eluviated in the aquifer was analyzed. A coupled numerical model was developed with convection、sorption and dissolve、disintegration for simulating the leachate transport in groundwater. The model was discreted by using a Gelarkin finite-element method and a Picard iteration scheme, and the process of coal gangue leachate was presented, which predict the temporal and spatial distribution features of contaminant concentration. The result indicates that the contaminated plume is continually extended as time increases, and the vertical diffusion is more abvious.

以溶质运移理论为基础，针对阜新市新邱露天煤矿煤矸石淋滤液对地下水污染实际情况，分析了煤矸石渗滤液在含水层中运移的规律，在综合考虑对流扩散、吸附解吸、生物降解条件下建立了淋滤液在地下水中运移的耦合动力学数学模型，采用Galerkin有限元方法和Picard迭代法相结合对耦合模型进行了离散，模拟了淋溶液对地下水污染的动态过程，预测了污染浓度的时空分布特征，并结合实际观测数据进行对比。

A finite element iteration method of safety factor against sliding of the abutment is presented to study the stability of Shuanghe arch dam abutment ,and the safety factor against sliding of the abutment is obtained.

采用坝肩抗滑稳定安全系数的有限元迭代法，通过三维有限元计算，研究了双河拱坝坝肩岩体的稳定性，得到坝肩岩体的抗剪安全系数，在此基础上，进一步分析加固后的坝肩稳定性。

5Study on vehicle-bridge coupled vibration program of multi-beams bridgeThe vehicle-bridge coupled vibration equation is detruded on the base of three axisvehicle,and the vehicle-bridge coupled vibration program is established with iteration method,which is used for analyzing the dynamic response of the assembly slab bridge.

5板桥车-桥耦合振动程序研究以三轴车辆为例建立车-桥耦合振动方程，采用分离迭代法，编制了板桥车-桥耦合振动程序，并以实例验证了其计算结果的正确性，为装配式板桥动力响应分析提供计算平台。

The two feasible engineering application curves are given which curve pc*=f1,optimum combustion chamber Pc* versus nozzle expansion ratio ε and curve ε*= f2, optimumnozzle expansion ratio ε versus combustion chamber pressure Pc resoved by iteration method.

用迭代法求解，给出了两条工程上行之有效的曲线──最佳燃烧室工作任强随喷管膨胀比ε的变化曲线和最佳喷管膨胀比ε*随燃烧室工作压强pc的变化曲线。

From research,It is known that the flux of single-phase transformer would offset and exciting current of single-phase transformer would be distorted under DC current inrushing.

直流电流通过两个Y0连接的变压器中性点侵入电力系统，故针对三相三柱变压器直流入侵情况建立了直流入侵下的三相三柱变压器的电路模型和相应的方程，结合三柱磁路的麦克斯韦方程和非线性的B—H曲线方程，利用数字迭代法，在MATLAB环境下编程计算了三相三柱变压器直流入侵下的变压器励磁电流和谐波特征。

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。