高斯消元

Through comparing the process of working out simple three-dimensional equation in "Jiu Zhang Suan Shu" with the elementary line transformation of augmented matrix,we got the conclusion that Gaussian elimination is a traditional method of china.

通过《九章算术》解三元一次方程组的过程与增广矩阵的初等行变换进行对照，得出高斯消元法是中国古法的结

In analysis of structure matrix, Gauss elimination method is often used to solve unknown displacement.

结构矩阵分析中，经常利用高斯消元法来求解未知位移，一般认为高斯消元仅为一种数学过程，而实际其包含着深刻的物理意义。

Using the three most commonly used fast algorithm: nonlinear iterative method, Gauss elimination and a new method of solution of linear equations!

详细说明：采用三种最常用的快速算法：非线性迭代法，高斯消元法和一中全新的解法解线性方程组！

The reason is that the complexity of the Gaussian elimination procedure involved in their methods is too high.

其原因在于他们方法中涉及的高斯消元过程的复杂度过高。

The simplest and most implemented method of solving linear systems is Gaussian elimination.

求解线性系统的最简单且容易实现的算法是高斯消元算法。

In MATLAB to achieve using Gaussian elimination method for solving linear equations!

详细说明：在MATLAB中实现用高斯消元法求解线性方程组！

LU decomposition is essentially a Gaussian elimination method expression.

详细说明： LU分解在本质上是高斯消元法的一种表达形式。

But by our geometric approach, we can overcome the drawback to get a set of basic closure equations directly without Gaussian elimination.

然而，我们的几何方法完全不涉及高斯消元，通过几何不变量直接得到一组基本方程，克服了这个问题。

This paper proves the advantages of triangular decomposition through compare triangular decomposition to Gaussian elimination .

通过把三角化分解法与高斯消元法进行比较，说明三角化分解法的优点。

It is found that the later is better than the former greatly, due to the fact that accurate solution by gaussian elimination is zero error. But zero error is ideal situation and it is difficult to reach in practice. So all we can do is to search an optimal solution under many restriction conditions, and the optimal can represent the solution of the question better.

咎其原因，高斯消元法是求解问题的精确解，而在实际生产科研工作中，这种理想状况是很难达到的，因此，遗传算法在多个约束条件下寻找当前最优解作为问题的解，才具有实际意义。

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。