消去法

In this paper, firstly the elimination tree theory is introduced in brief, and the structure of Jacobian matrix is determined by use of symbolic factorization; then by use of sparse vector method each column of lower triangular matrix L and each row of upper triangular matrix U are solved.

介绍了消去树理论，并采用符号因子分解技术确定雅可比矩阵的结构，然后采用稀疏向量法求取L阵的每行和U阵的每列。

Firstly, four geometric loop equations are set up by using vector method in complex number fields. Secondly, three constraint equations are used to construct the Dixon resultants, which is a 6×6 matrix and contain two variables to be eliminated. Extract the greatest common divisor of two rows and two columns of Dixon matrix and compute its determinant to obtain a new equation. This equation together with the forth constraint equation can be used to construct a Sylvester resultant.

首先使用矢量法和复数法建立4个几何约束方程式；再使用Dixon结式法对3个方程式构造一个含有2个变元的6×6 Dixon矩阵，提取其中2行列元素的公因式，将新矩阵的行列式展开后得到二元高次多项式方程，该方程与剩下一个方程使用Sylvester结式消去一变元，得到一元高次方程。

Finally, A class of inverse Riemann boundary value problem for bianalytic functions on the real axis is proposed.

先消去参变未知函数，再采用易于推广的矩阵形式记法，可把该问题转化为两个实轴上的解析函数Riemann边值问题。

By a large scale test ,we get the balance point of the traditional BEM and fast multipole BEM up to 1700~1800 degrees of freedom.

因此，需要大容量的内存，而方程组的求解一般采用高斯消去法或由它演变得到的其他方法。

So, some research on plane steering six-bar linkage has been done in this project as follows: based on the condition equation of correct steering and the equations of two closed loop of steering mechanism, a set of three equations in three variables can be obtained after a variable is expurgated with the elimination method.

本课题对平面转向六杆机构进行了如下的研究：根据转向条件方程，与转向机构的两个闭环方程，采用消元法消去一个未知变量，得出了转向六杆机构关于输入角的目标函数方程；利用边界条件，得出一个包含三个变量、三个方程的方程组

Having assembled nodal physical matrice and put related boundary condition and loads into the problem, direct Gaussian elimination algorithm is used to obtain the displacement of the model. Finally, stresses on each node are also calculated.

得到节点的组合物理矩阵之后，并施加相关的边界条件和载重来代入此问题中，并直接使用高斯消去法来获得模型的位移，最后可以计算出每一个节点的应力。

Further, based on the method of pre-elimination of parameters, the formulae of the partly-weigthed least squares estimation with constraints on parts of the parameters are derived to include a prior information.

在顾及电离层加权模型的情况下，利用参数消去法，推导了加权最小二乘法估计模糊度实数解的公式。

Our proposed high speed dark frame subtraction can solve this problem by analyzing patterns in frequency domain.

我们所提出的高效率暗电流消去法藉由分析频率空间图形可以解决上述问题。

Two-way matrix of kinetic-spectroscopic data is obtained after measuring a series of absorption spectra during the process of chemical reaction.

针对化学反应动力学谱-吸收光谱组成的两维数据，提出了以优化速率常数而消去反应物波谱信息为减秩手段的速率常数-秩分析法。

Report : Programming Environment : Newton MATLAB7 K polynomial interpolation procedures to achieve Romberg of Quadrature program Gaussian out PCA Elimination of the program.

详细说明：计算方法实验报告：编程环境：MATLAB7.0 牛顿K次插值多项式的程序实现龙贝格求积公式的程序实现高斯列主元消去法的程序实现。

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。