Rank and decomposition of infinite matrix over a division ring are discussed. Two rank-finite matrices are same-inverse equivalent if and only if their rank equal is proved.
讨论除环上无限方阵的秩及分解问题。证明了除环上秩有限的二无限方阵同逆等价的充要条件是它们的秩相等。
Some basic necessary and sufficient conditions for the existence of various inverses of a row-column-finite infinite matrix a over a field K are proved by compactness arguments.
用紧致性论证给出了任一域k上行列有限的无限方阵a具有各种逆方阵的基本的充分必要条件。
As an auxiliary problem, the special case of a single fiber embedded into an infinite matrix is considered firstly, and the time dependent stress in the composite at any time is given.
作为辅助问题，首先考虑了单根纤维嵌在无限大基体的特殊情形，导出了纤维和基体中随时间变化的应力场。其次，应用平均场方法给出了任意时刻复合材料的总体响应。
For infinite matrices of linear and some nonlinear mappings between topological vector spares which have not any restriction, we establish a new result of infinite matrix transformations.
讨论了抽象对偶系统中的向量值无穷矩阵变换，在一个所涉拓扑线性空间没有任何限制的情况下，得到了无穷矩阵变换理论的一个新结果。
If any of the arguments are Infinity the transformation matrix must be marked as infinite instead of the method throwing an exception.
如果任意一个参数是无限大，变形矩阵也必须被标记为无限大，否则会抛出异常。
And the eigenvalue problem of integral equation is transformed into a standard eigenvalue problem of a matrix with infinite order.
进而将积分方程形式的特征值问题转化为无穷阶矩阵的标准特征值问题。
The radiation damping matrix of the infinite element is derived.
推导了辐射无限元的辐射阻尼矩阵。
This article is intended to give a new iterative method to calculate the combined stiffness matrix in the infinite element method.
本文对无限单元法中组合刚度矩阵的计算给出了一个新的迭代方法。
A new algorithm is presented to determine infinite homography matrix and camera intrinsic matrix parameters under one camera motion set from the matched-point sets on two orthogonal planes.
论述由位于正交平面上的特征点对集合复原无穷远单应性矩阵和摄像机内参数的新算法。
In this paper, the regular representations and matrix representations of an infinite powergroups are given by the infinite linear group actions on the infinite powergroup.
利用群作用给出了一经线性 （无限 ）群在无限幂群上的作用 ，利用这一作用定义了无限幂群的正则表示和相应的矩阵表示 。
And then the eigenvalue problem of integral equation is transformed into the standard eigenvalue problem of a positive definite matrix with infinite order.
进而将积分方程形式的特征值问题转化为无穷阶正定对称矩阵的标准特征值问题。
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。
Finite element analysis is a matrix method for structure analysis. It divides a continuum composed of infinite material points and finite degree of freedom into an aggregation with finite small units.
有限元分析法是用于结构分析的矩阵方法，将一个由无限个质点构成并且有限个自由度的连续体划分成有限个小单元体所组成的集合体。
This method is not from the first principle. A better approach is based on the reduced density matrix, which eliminate the infinite number of the freedoms of the dissipative environment.
该方法不是从第一原理出发，因为耗散环境应该被看成是自由度为无限维的谐振子或原子系统，对它的求解最好的方式是求解约化密度矩阵方程。
This method is not from the first principle. A better approach is based on the reduced density matrix, which eliminate the infinite number of the freedoms of the dissipative environment.
该方法不是从第一原理出发，因为耗散环境应该被看成是自由度为无限维的谐振子或原子系统，对它的求解最好的方式是求解约化密度矩阵方程。
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