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 property of symmetry can also be used to save a part of the computational effort required for matrix inversion or for a solution of equations.
对称的特性也可用来节省矩阵求逆中或求解方程中所需要的一部分计算量。
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。
From this paper, the equations of tangent planes of a quadratic surface are obtained by matrix operations.
本文应用矩阵的运算，给出求二次曲面的切平面方程的一个筒单方法。
The problem of constrained matrix equation is to find solutions of matrix equations in a set of matrices satisfying some constrained conditions.
约束矩阵方程问题是指在满足一定约束条件下的矩阵集合中求矩阵方程的解的问题。
In this paper, a parallel iterative algorithm for linear equations is given by approximating inverse of a matrix.
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。
Based on parametric solutions for a type of matrix equations, a parametric method for this eigen-structure disposition problem is propose.
基于一类矩阵方程的参数化解，给出了该比例加微分反馈特征结构配置设计参数化方法。
In this paper, an iterative method is presented to find the least squares centrosymmetric solution to a kind of matrix equations.
本文提出了求一类矩阵方程组的最小二乘中心对称解的一种迭代法。
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.
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。
Using a coordinate transformation matrix, which is formed by these linearly independent mode set, the component equations of motion in generalized coordinates are derived.
应用这组线性无关的模态集构成坐标变换矩阵，推导出广义坐标下的部件动力学方程。
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。
Starting from the rate equations and the theory of multilayer dielectric film, a dynamic transfer matrix model of vertical cavity semiconductor optical amplifiers (VCSOAs) was established.
从速率方程和多层介质膜理论出发，构建了垂直腔半导体光放大器(VCSOA)的动态传输矩阵模型。
Using the matrix assembly method, these acoustic equations can be composed a universal program with a general format for sound transmission in insulating glass.
根据所建立的声学方程，通过矩阵组装方法来进行中空玻璃声透射问题的研究。
The results show that the matrix formulation of governing equations of finite strain consolidation with Eulerian description has a more simple form than those with both t.
结果表明，欧拉描述的有限应变固结控制方程的矩阵形式要比t。
In this paper, iterative method in groups for solving these three matrix equations is studied when the equation has a unique solution.
本文讨论这三类线性矩阵方程惟一解的分组迭代解法。对三类矩阵方程的几类迭代格式的分组迭代解法，主要解决了如下几个问题。
The feasibility and convergence of the BIMV method are proved when the coefficient matrix a of interval linear equations is an interval H-matrix.
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。
Based on the output-voltage error function, a novel time-discrete modulation technique is proposed for matrix converters (MCs) and time-discrete difference equations of a MC circuit are derived.
针对矩阵变换器调制方式的特点，提出了基于输出电压误差函数分析的矩阵变换器离散调制技术，推导了基于时间离散和差分原理的电路方程。
Then from the equations of the matrix elements the equation of the usual two composite boson is separated, as it is a three-dimensional equation, the ghost states disappear.
而后由矩阵元方程分离出通常两个复合玻色粒子满足的等时方程，它是一个三维方程，因此无鬼态。
Then, those useful generalized nodes are selected, and the generalized stiffness matrix is enlarged. A more accurate numerical solution can be obtained after the new equilibrium equations are solved.
然后引入作用较大的高阶广义节点形函数，扩充广义刚度矩阵，并求解新的整体平衡方程，得到更高精度的数值解。
The method can also be used to deal with matrix equations on general field, which supplies a new method to cryptography.
该方法也可用来研究一般域上的矩阵方程，从而为研究密码学基础理论提供一种新方法。
In general situation, the coefficient matrix of linear equations deduced by the Boundary Element Method (BEM) is a compact one.
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。
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.
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；
The 2b-Signal flow graph is reduced to a state matrix flow graph, by means of which the state equations can be written out directly.
信号流图被化简为一种状态矩阵流图，籍助此流图状态方程可直接写出。
Based on the analytical solution to stress field around a hole in a stressed orthotropic infinite width plate, a set of equations was derived to calculate the relieved strain matrix.
以正交各向异性无限大板孔边应力场解析解为基础，导出了释放应变矩阵计算表达式，并用一个算例验证了该计算式的正确性。
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.
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 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。
As a coefficient matrix of fault diagnosis equations, singularity of the sensitivity matrix restricts its solutions. On the other hand, sensitivity matrix is a function of testing frequency.
灵敏度矩阵作为故障诊断方程的一个系数矩阵，它的奇异性制约着故障诊断方程解的存在性，而灵敏度矩阵又是测试频率的函数。
The internal iterative calculation is to correlate the equations of mass and phase equilibrium into a triple diagonal matrix from which the liquid compositions can be found out.
即内层迭代是将物料平衡方程和相平衡方程联立，化为三对角矩阵形式，由之解出各板液相组成后，通过泡点计算法求定各板新的温度和相平衡常数。
Every storey with a same section is taken as a calculation element. The element matrix, section matrix and transfer matrix of every element are derived by the differential equations.
根据变截面框筒结构的截面沿高度为阶形变化的特点，以每个相同截面的层作为一个计算单元，每个单元由微分方程组导出其单元矩阵、截面矩阵和传递矩阵。
Every storey with a same section is taken as a calculation element. The element matrix, section matrix and transfer matrix of every element are derived by the differential equations.
根据变截面框筒结构的截面沿高度为阶形变化的特点，以每个相同截面的层作为一个计算单元，每个单元由微分方程组导出其单元矩阵、截面矩阵和传递矩阵。
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