非线性矩阵方程来源于控制理论，梯形网络，动态规划，排队理论，随机过滤，统计学等应用领域。
Nonlinear matrix equations arise in areas of control theory, ladder networks, dynamic programming, queueing theory, stochastic filtering and statistics.
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。
In this paper, iterative method in groups for solving these three matrix equations is studied when the equation has a unique solution.
我们学过矩阵乘法的，以及用矩阵表示线性方程。
OK, so we've seen how to multiply matrices, and how to write linear systems in matrix form.
使用范例下面的例子求解了一个线性方程Ax =b，矩阵规模为3 * 3,最后算出了残差的范式。
Example of Use. The following simple example solves a 3x3 linear system Ax=b and computes the
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.
该法以电路的改进节点方程为基础，具有建立故障诊断方程容易，所建立的方程具有较低的非线性度及规则的雅可比矩阵的特点。
This method based on modified nodal approach is easy to set up the fault diagnosis equations and has lower degree of nonlinearity and regular Jacobi matrix form.
在解回归方程时，设计矩阵中的共线性可能产生不精确的参数估计。
In solving the regression equations, collinearity in the design matrix can result in inaccurate parameter estimates.
利用矩阵的初等列变换，给出了求解多元线性不定方程的一种方法，该方法改进了传统方法计算量大、步骤多的缺点。
By elementary rank transformations of matrix, a method has been obtained to solve linear diophantine equation with some variables. The method overcomes the deficiency of traditional method.
结构方程系数矩阵线性约束下的完全信息极大似然估计法。
The first is the full information maximum likelihood method with linear constraint of coefficient matrixes in structure equation.
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.
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.
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.
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.
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.
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.
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.
本文利用微分方程单位解矩阵估计的相关方法，得到了确定含有非线性电阻的动态电路唯一稳态的条件。
Based on the estimation of the unit solution matrixes of differential equations, the unique steady state of the dynamic circuits with nonlinear resistors is studied by matrix measure.
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.
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.
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.
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.
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.
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.
主要分析讨论了PMD的几种研究方法：琼斯矩阵法、斯托克斯空间法和耦合非线性薛定谔方程。
In this paper, several study methods on PMD are analyzed, such as Jones matrix, Stokes vector and the coupled nonlinear Schrodinger equation.
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。
Using a coordinate transformation matrix, which is formed by these linearly independent mode set, the component equations of motion in generalized coordinates are derived.
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.
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.
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