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。
To the inverse problem of the system of linear algebraic equations, tiauthor gives a symmetric matrix solution and the expression of its general solution.
做为基本计算单元之线性方程组，以矩阵形式表示线性方程组，基础矩阵运算。
Linear equation sets as basic computational unit, expressing linear equation sets in matrix form, basic matrix operations.
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。
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.
文章利用近似逆矩阵构造了一类求解线性方程组的并行迭代算法。
In this paper, a parallel iterative algorithm for linear equations is given by approximating inverse of a matrix.
研究了矩阵列(行)一致扰动的几个性质，并应用于线性方程组。
Several properties about matrix with consistent perturbation are studied and applied into linear equations.
本文在赋权二部图上施行矩阵的各种运算之基础上，进一步给出用图求解线性方程组的方法。
On the base of a variety of calculation of matrix used on the empowering bipartite graph, the solutions are further given to solve the linear equations in the graphs.
利用稀疏矩阵技术求解大型稀疏线性方程组。
Large sparse system of linear equations are solved by sparse matrix methods.
当区间线性方程组的系数矩阵a为区间H阵时，证明了BIMV算法的可行性与收敛性。
The feasibility and convergence of the BIMV method are proved when the coefficient matrix a of interval linear equations is an interval H-matrix.
讨论了线性代数中矩阵的秩、向量组的秩与线性方程组的秩之间的关系。
This paper describes the relationship between the rank of matrix, the rank of vector group and liner equation group in the linear algebra.
分层快速多极算法被用来加速用迭代法求解线性方程组时的矩阵向量乘积的运算。
Multilevel fast multipole method is used to fast calculate the matrix-vector product when we solve the linear system by iterative method.
对有定号解的线性方程组或有定号零空间的实矩阵进行了更深入的研究。
In this paper, a more careful research on linear systems with signed solutions and real matrices with signed zero - space is made.
通过对增广矩阵适当“加边”，利用矩阵的初等行变换，直接求出线性方程组的通解形式，并在理论上给予了论证。
This paper presents directly the general solution to sets of linear equations by properly bordering on augmented matrix and elementary transformation, and produeces some theoretical proving.
给出了线性不定方程组与线性同余式组的新矩阵解法。
The matrix method of solving diphantine equations and congruence expressions is developed in this paper.
在双严格占优矩阵条件下，给出了相容矩阵范数的一个上界，并以此为基础，得到了线性方程组求解时的AOR迭代法的误差估计式。
A upper bound with consistent matrix norm and the estimate for error of AOR iterative method for solving linear equation system, which based on the doubly diagonal dominance, are presented.
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。
Row standard simplest form matrix is introduced, the traditional solution of system of linear equations is improved and the solution process is standardized.
将权矩阵的学习过程归结为用梯度下降法求一组矛盾线性方程组的过程；
Then, the learning of the weight matrix can be done by means of solving a group of systems of linear equations. Last, the mathematical base of the outer-product leaming method is pointed out.
一般情况下，边界元法所建立的线性方程组系数矩阵为一满置矩阵。
In general situation, the coefficient matrix of linear equations deduced by the Boundary Element Method (BEM) is a compact one.
使用初应力法对非线性方程组进行迭代计算，避免了组装和分解总体刚度矩阵的繁杂而庞大的运算。
To cut down great calculation of assembling and disassembling of stiffness matrix in the nonlinear procedure, the initial stress method is introduced to resolve the nonlinear equations.
根据三对角矩阵的特点，给出一种利用解线性方程组的方法求三对角矩阵的逆矩阵的算法。
In this paper, an algorithm for finding the inverse matrix of tridiagonal matrix by solving systems of linear algebraic equations is proposed.
应用等效线性化方法得到方程组的线性化刚度矩阵，给出了结构等效一阶频率的计算方法；
Then, an equivalent linearization method is applied to get its linearized stiffness matrix. The estimating method for the equivalent fundamental frequency of the membrane is deduced.
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。
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.
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。
The judging methods of the vectors group related dependence from determinant values, rank of matrix, solution of system of linear equations etc were studied.
根据泛灰数的性质，定义了泛灰矩阵，提出了泛灰线性方程组的泛灰矩阵解法，并给出了算例。
Based universal Grey number's characteristic, universal Grey matrix is defined and universal Grey matrix Solution Method to universal Grey Linear Equations is introduced.
研究了矩阵列（行）一致扰动的几个性质，并应用于线性方程组。给出了线性方程组系数矩阵一致扰动下解的相对误差界。
Several properties about matrix with consistent perturbation are studied and applied into linear equations. Error bounds with the solution perturbation are given.
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 deals with the system of linear equations with matrix variables and gives the sufficient and necessary condition of consistency.
研究了一类线性方程组系数矩阵的红黑排序方法，以及由红黑排序矩阵导出的舒尔补矩阵的条件数。
The red and black ordering method about the coefficient matrix of a class of linear equations and the condition number of schur complement matrix deduced from red and black matrix are studied.
在用迭代法求解线性方程组时，迭代矩阵的谱半径估计及其收敛性分析是非常重要的。
For solving the linear system with the iterative method, it is very important to estimate the spectral radius of the iterative matrices and give the convergence analysis.
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。
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。
The inverse problems are researched on linear transformation, system of linear equations, diagonalizing of matrix, and so on.
应用推荐