This paper deals with the system of linear equations with matrix variables and gives the sufficient and necessary condition of consistency.
本文讨论以矩阵为变量的线性方程组，给出相容性的充要条件。
This paper pointed out that, auxiliary derivation can avoid the application of the system of linear equations, thus simplify the calculation process.
本文将指出，辅以求导法可避免线性方程组的应用，从而将计算过程简化。
, this is my plan, the fundamental problem of linear algebra, which is to solve a system of linear equations.
，这是我的计划：线代的基本问题是用来解线性方程组（system of linear equations）。
After solving the system of linear algebraic equations, another problem is induced that requires revising this coefficient matrix in order to get a new system of equations.
在线性代数方程组已解出之后，另一个课题需要修改它的系数矩阵，从而得到一个新的方程组。
The coupled boundary integral equations and their reduced forms are deduced for hybrid mode problems, and these equations are discreted into a system of linear algebraic equations by moment method.
导出了关于混合模的耦合边界积分方程组及其退化形式，并用矩量法将之离散为齐次代数方程组，从而得波导的混合模传输常数；
A nonlinear system parameters identification problem is investigated in this paper by introducing a relaxation method used for solving the linear equations of the system.
研究了非线性参数系统模型的识别问题，通过引入求解线性方程组的松驰法思想，构造了一类新的迭代识别算法。
To the inverse problem of the system of linear algebraic equations, tiauthor gives a symmetric matrix solution and the expression of its general solution.
本文给出线性代数方程组反问题的对称矩阵解，及其通解表达式。
The method ICCG. is one of the best iterative method for solving the system of linear algebraic equations, but it can only be applied to the symmetric and positive definite coefficient matrix.
ICCG方法是解线性代数方程组较为理想的方法，但它仅适用于具有正定对称的系数阵。
Since it is an inverse problem, numerical techniques, such as discretization of the integral into a system of linear equations, are necessary.
由于这是一个反问题，一些数字技术比如将积分离散化为一个线性方程组是必需的。
This article given another kind of proof using algebra method by system of homogeneous linear equations to the geometry question.
本文对这一几何问题利用齐次线性方程组给予了代数方法的又一种证明。
The solution of system of linear congruence equations can be provided by the Chinese remainder theorem or recursive process.
一般可以用中国剩余定理或者递推算法等方法给出一次同余方程组的解法。
Analyzing inverse DFT, we obtained a system of linear equations, whose solution can be taken as the spectrum of the data series.
通过对离散傅立叶逆变换的分析，我们得到一个线性方程组，它的解可以作为序列的谱。
Based on the partition of equivalent classes, the resolving of a linear system of equations and the calculation of the dual basis of the standard basis, three methodologies are presented.
基于等价类的划分、线性方程组的求解和标准基之对偶基的计算，提出了域元素分量代数表达式的三种求法。
The article discusses rank of a matrix by the solution theorem of system of homogeneous linear equations, and proves several famous inequalities and two propositions on rank of a matrix.
利用齐次线性方程组解的理论讨论矩阵的秩，给出几个关于矩阵秩的著名不等式的证明，并证明了两个命题。
Row standard simplest form matrix is introduced, the traditional solution of system of linear equations is improved and the solution process is standardized.
本文引进规范行最简形矩阵概念，改进了线性方程组的传统解法，并规范了解题过程。
The difficulty in solving this system of non-linear equations is the choice of an initial value, close enough to the true solution to assure convergence.
求解时遇到的主要困难是选择一组足够靠近真解的初值，以保证迭代过程的收敛。
The name of it comes from the lower-triangular form of system matrix in state-space equations when it is linear.
这一名称来源于下三角结构线性系统写成状态空间表达式后，系统矩阵中所表现出的下三角形状；
The unified method of solving LDS(linear discrete system) difference equations of determinate and time varying coefficients as well as stochastic and stochastic time varying coefficients is proposed.
首次给出求解确定性与随机常系数差分方程及确定性与随机时变系数差分方程的统一方法；
This paper puts forward the row action method to solve a system of linear equations with partial determinate variables, and analyses the convergence of this method.
给出含部分已定值变量的线性方程组的行处理法迭代解法，并分析算法的收敛性。
The judging methods of the vectors group related dependence from determinant values, rank of matrix, solution of system of linear equations etc were studied.
将行列式的值、矩阵的秩、齐次线性方程组的解等知识运用于向量组线性相关性判定，归纳出六种判定向量组线性相关性的方法。
In the practice for production and scientific experiment the problem of solving large system of linear equations is often met with.
在生产实践和科学实验中常会迂到求解大型线性方程组的问题。
Then we use the descending dimension algorithm to transform the quadratic program problems into solving a system of linear equations.
本文提出具有线性等式约束多目标规划问题的一个降维算法。
Utilizing the related physical model, the linear system of equations solved for the three components of the amplitude of the arbitrary point on the test object may be derived.
利用有关的物理模型，便可导出求解被测物体上任一点的振幅的三个分量的线性方程组。
Time Domain Simulation USES the dynamic and algebraic equations which are definitely non-linear. This method can take all the non-linear proprieties of the power system into consideration.
时域仿真法利用系统非线性微分代数方程为数学模型，可以充分考虑系统的非线性性质。
The inverse problems are researched on linear transformation, system of linear equations, diagonalizing of matrix, and so on.
本文就线性代数中几个重要知识点：线性变换、线性方程组的解、矩阵对角化等的逆向问题进行研究。
Finally, the fairing curve can be obtained by solving a linear system of equations.
最终通过求解线性方程组得到光顺曲线。
A large system of sparse linear and nonlinear algebraic equations is the typical form of mathematical models of process design and steady state process simulation.
大型稀疏代数方程组是稳态过程模拟与过程设计数学模型的典型形式。
The old methods about solving a system of linear equations all base on using the row's elementary operation to matrix of coefficients or augmented matrix.
现有的关于线性方程组的解法，都是基于对系数阵或增广阵施行初等“行”变换。
The old methods about solving a system of linear equations all base on using the row's elementary operation to matrix of coefficients or augmented matrix.
现有的关于线性方程组的解法，都是基于对系数阵或增广阵施行初等“行”变换。
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