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.
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.
利用马尔科夫过程理论和矩阵解法求出了稳态概率的矩阵解，并得到了系统的平均队长、平均等待队长以及顾客的平均止步率等性能指标。
The matrix form solution of the steady-state probability was derived by the Markfov process method and the matrix solution method. Some performance measures of the system such as th…
由水气二相流的实验结果对所建立的水气二相流数值模型和二相交错排序组装矩阵解法(AMAM)的检验，证明该模型及AMAM解法行之有效，AMAM方法的求解速度较快。
Results of the conducted two-phase flow test show that the numerical model of two-phase flow and AMAM solution method are rational and available and AMAM solution method with faster speed.
本文得到下列结果：通过应用矩阵多项式，得到一个相似变换下变换矩阵的简便解法。
This paper obtained the following results: a simple solution for the similarity matrix under a similarity transformation is obtained by using a matrix polynomial.
正基于此，本文进一步以矩阵和向量为工具对解法进行优化，使通过初等行变换后经线性表出就可以产生结果。
Because of this, this paper optimizes the solution further regarding matrix and vector quantity as tools, and it can produce the result through linear expression after elementary line change.
在研究这类问题时，常用的理论方法有转移矩阵法、组合解法、重整化群方法及图形展开法等。
The usual ways to study the subject are the transfer-matrix method, combination solution, the renormalization-group technique, and graphic expansion, and so forth.
本文主要讨论含参变量的实对称矩阵特征值反问题数值解法。
This paper mainly discusses the formulation and the numerical methods of real symmetrical matrix inverse algebraic eigenvalue.
本文研究了一类矩阵问题的最小二乘逼近解，给出了解的表达式，提供了一个数值解法。
In this paper, we consider the least-square approximate solutions of a class of matrix problems. The expression of the solutions is provided and a numerical method is described.
由于不必进行直接的大型矩阵求逆运算，因而与体积分方程的直接解法相比，所需的机时更少，并减少了对内存的要求。
The method requires less computation time and smaller memory than the direct computation of volume integral equations, since the large scale matrix inversion may be avoided.
详细描述了利用扩展的传递矩阵法求解有分支系统和无分支系统动力学特性的统一数值解法。
And the united numerical computation method for unbranched system and branched system has been depicted based on the expanded transfer matrix.
本文对用于DOA估计的矩阵分解法进行了分析，证明了它是一种子空间方法。
The matrix decomposition method for DOA estimation is analyzed. It is proved that the method is a subspace method.
本文应用矩阵反演公式，直接从第一种解法导出第二种解法的公式。
In this paper, by using the inversion formulas of matrix, the second solution formulas is directly derived from the first one.
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.
介绍了多个效率矩阵的指派问题最优解的一般解法。
The general solution of the best answer to the assignment problem through more than one efficiency matrix.
该方法以原始数据样本与理想方案之间的灰色关联系数矩阵为新的决策矩阵，利用理想解法对方案进行排序。
First take the gray correlation coefficient matrix between primitive data sample and ideal scheme as new decision-making matrix, and then use TOPSIS to evaluate and arrange all schemes.
然后将其与地震子波褶积，使其求解结果与实际地震数据的最小平方问题归结为求解一大型稀疏矩阵方程，并采用奇异位分解法求解。
The least square problem of the convolution result and real seismic data can be considered as the solution of a huge rarefactional matrix equation, which can be solved by singular value decomposition.
并对多节点规则网络所采用的矩阵方程本征值解法的意义进行了讨论。
The physics meaning of eigenvalue computation of matrix equation of the regular network is also discussed .
以原始数据样本与理想方案之间的灰色关联系数矩阵为新的决策矩阵，利用理想解法对方案进行排序。
A new TOPSIS model which based on the gray correlation coefficient matrix is presented in order to overcome the deficiency in more indicator of decision-making process.
在文献犤1犦的基础上，研究利用MATLAB实现按对象分层决策矩阵的逼近理想解法。
Based on the reference 1, This paper studies the realization of TOPSIS way of decision matrix according to object divided layers with MATLAB.
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.
本文用矩阵分解法给出该反问题在正定矩阵类及正交矩阵类中的通解。
General solutions of above inverse problem in positive definite matrix and in orthogonal matrix are given here by using factorization method of matrix.
本文使用奇异值分解法求解矩阵方程的最小二乘解。
A least squares solution via singular value decomposition is used to solve the matrix equation.
这一方法比电力系统中现用的QR分解法优越，其运算量与矩阵运算阶次均大大低于QR分解法。
The computational complexity and dimension of matrices in computation are much lower than QR Decomposition Method, which is used now in power systems for the determination of dynamic stability.
采用图解法探讨三维实体的图形变换，明确给出了几种特殊显示的图形变换矩阵的参数表达式。
The paper adopts graph method to study 3d entity graphic conversion, and the parameter formulas of the graphic transformation matrix of the several special displays are clearly obtained.
详细介绍了用解析解法和数值解法(即矩阵方程的多项式解法)分别求出了基元回路为正方形的“田”字形超导网络在外磁场中的临界温度，结果表明两种计算方法是完全等价的。
The critical temperature of superconducting network which is composed of square unit loops in external magnetic field is solved by means of analytic method and numeric method I.
本文介绍一种利用矩阵的初等行变换求解平面直射变换式的方法，它较一般解法更为简明。
In this paper, by application of matrix elementary operation, we give the method of solving for plane projective collineation. The method presented in this paper is simpler and clearer than used one.
并用图解法或解析法（矩阵形式）对这种类型的机构构件位置的确定、机构有曲柄存在的条件、以及对这类机构的运动分析、力分析等均加以举例讨论。
With the graphical or analytical approaches, the author discusses how to determine the position of the mechanism member, the mechanism with crank, and kinematic and dynamic analyses of such me…
并用图解法或解析法（矩阵形式）对这种类型的机构构件位置的确定、机构有曲柄存在的条件、以及对这类机构的运动分析、力分析等均加以举例讨论。
With the graphical or analytical approaches, the author discusses how to determine the position of the mechanism member, the mechanism with crank, and kinematic and dynamic analyses of such me…
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