Large sparse system of linear equations are solved by sparse matrix methods.
利用稀疏矩阵技术求解大型稀疏线性方程组。
At each iteration, it was only necessary that a system of linear equations be solved.
该算法在每一步迭代时，仅需求一线性方程组系统。
Swiss mathematician who is known today for Cramer's rule for solving a system of linear equations.
瑞士数学家，因解线性方程组的克莱姆法则而为今人所知。
A new algorithm that finds nonegative solution of system of linear equations is described and proved.
通过初等方法，证明了此冗余系统非负解的存在唯一性。
, 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）。
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。
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。
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。
A new kind of fuzzy time series model is presented by using a fuzzy system of linear equations with fuzzy coefficients and real variables.
利用模糊系数实变量的线性方程组建立了一种新的模糊随机时间序列模型。
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。
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 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。
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。
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 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。
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 main advantage is that it can calculate sensitivities of all network outputs with respect to all network parameters by solving a system of linear equations only once.
该方法的优点是它只要求解线性方程组一次，就可以算出所有网络输出对所有网络参数的灵敏度阵。
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。
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；
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。
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。
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。
This paper is investigated a preconditioned conjugate gradient method in solving a linear algebraic system of large sparse symmetric and positive equations.
本文研究了解决大型稀疏对称正定线性方程组的一类预条件共轭梯度法。
This paper is investigated a preconditioned conjugate gradient method in solving a linear algebraic system of large sparse symmetric and positive equations.
本文研究了解决大型稀疏对称正定线性方程组的一类预条件共轭梯度法。
应用推荐