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。
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。
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。
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。
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。
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