消去法

A C++ program is developed for composing the stiffness matrix of the temperature field, saving it in changing bandwidth method and calculating the linear algebraic function group through using the Gauss eliminating method. A module for drawing the color fringe of tire temperature field is created, which makes the result more visual. Taking the 9.00-20 cross-ply tire on CA1092 as an example, the finite element numerical simulation analysis of automobile tire 2-D steady temperature field is completed. Through comparing the result with the analysis data by ANSYS, this software is proved to be capable of the modeling, calculating and post-processing of FEA of automobile tire 2-D steady temperature field.

采用C++语言完成了温度刚度矩阵的总体合成及其一维变带宽存贮，以及线性代数方程组高斯消去法求解等工作，采用C++语言实现了汽车轮胎二维稳态温度场云纹图的绘制，使得计算结果更加直观，也更能形象地显示汽车轮胎二维稳态温度场的分布状况，以CA1092（原CA142）五吨载货汽车用9.00-20尼龙斜交胎为例，进行了汽车轮胎二维稳态温度场有限元数值仿真分析，通过与ANSYS分析结果进行比较，说明所开发的有限元建模、求解以及后处理软件能够用于汽车轮胎二维稳态温度场有限元分析。

Those equations are dispersed in space by iso-parameter elementmethod and in time by using backward difference. A numerical simulator is established byFortran, the ideas of high part make the of structure program clear, maintain easy, calculationeffective.

在此基础上利用Fortran语言编制了有限元方法的油藏模拟器，采用等参元对渗流方程在空间上离散，采用向后差分在时间上离散，线性方程组的求解采用变带宽高斯消去法，该方法充分利用刚度矩阵呈条带状和其对称性的特点，大大减少了所需存储空间。

With the corresponding flow parameters measured through the experiments and the criterion equation mentioned above,the correlation formula of degassing efficiency of flow of gas/liquid two-phase flow through corrugated multicup isoflux gas anchor is obtained through the regression analysis using the least square method and the Gaussian elimination.The influences of the number of arris and concave depth and angle on degassing efficiency are analyzed.

利用量纲分析方法建立了气液两相流体在瓦棱状多杯等流型气锚中流动的准则方程；根据室内实验测得相应参数和准则方程，利用最小二乘法及高斯消去法进行回归分析，得到气液两相流体在瓦棱状多杯等流型气锚中流动时脱气效率的关联公式，并分析了棱数、凹入深度、角度对脱气效率的影响。

In this paper,we solve convolution equation based on Vandermonde Matrix and the method of image displacement elimination in space domain that we propose,so that we can reconstruct sectional image quickly.

本文利用Vandermonde矩阵求逆的特性和我们提出的空间域图像移位消去法，可以用较少的计算量求解出卷积方程组，从而快速重建断层像。

We propose a new method-image displacement elimination method, it overcome shortcomings of FDDI and can solve convolution equation set in space domain quickly.

我们利用Vandermonde矩阵求逆的特性和我们提出的空间域图像移位消去法，可以用较少的计算量求解出卷积方程组，从而快速重建断层像。

This article mainly discusses four kinds of solution system of linear equations,such as Elementary operations, the tecnique of Orthogonalization,Gaussian elimination method and Block matrix,and some ways that how to solve the multiple polynomial equations and decomposite the multiple polynomial matrix.

本文主要讨论了利用初等变换、正交化的技巧、高斯消去法和分块矩阵的四种求解线性方程组的解法，以及一些关于多元多项式方程组求解和多元多项式矩阵分解的方法。

The algorithm is used in the exchange trip out the main elements of elimination method.

本算法采用的是具有行交换的列主元素消去法。

Through Gaussian elimination method for computing matrix inversion, the project has a strong practical value.

通过高斯消去法，进行矩阵求逆运算，在工程中有很强的实用价值。

In the process of arithmetic design, Newton method is used to compute power flow of network. Graph theory knowledge is used to determine all paths from generator to load. To improve efficiency, thesis use branch expunction method to optimize the node order.

在算法设计过程中，采用牛顿－拉夫逊法进行潮流计算得到系统潮流分布，利用图论原理中的路径搜索算法确定了发电机对负荷的供电路径，此外为了提高潮流跟踪的计算效率，利用了支路消去法进行节点顺序的优化。

This makes the suggested standard of harmonic analyzer feasible for practical use.

但这个方法用传统的处理方法（高斯消去法或迭代法求矩阵的逆）付诸实施时，将会碰到计算时间很长的困难，因而使测量的实时性受到很大的妨碍。

The labia have now been sutured together almost completely.The drains and the Foley catheter come out at the top.

此刻阴唇已经几乎完全的缝在一起了，排除多余淤血体液的管子和Foley导管从顶端冒出来。

To get the business done, I suggest we split the difference in price.

为了做成这笔生意，我建议我们在价格上大家各让一半。