计算逆矩阵的工作量较大，但是通过逆矩阵的叉积我们可以简化计算。
The calculation of an inverse matrix is a lot of work, but by using the properties of vector cross products we can simplify the calculations.
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.
引入了卡氏和张量混合积空间上的对称化算子和相应的分块矩阵上的混合矩阵函数，给出了关于它们的若干关系式。
Symmetrizing operators on mixed cartesian and tensor product spaces and corresponding mixed matrix functions on partitioned matrices are introduced. Some relation formulae on them are given.
本文给出了强魔性对偶矩阵和矩阵平移积的新概念；研究了这类矩阵的计数问题。
Some new concepts on strong magic dual matrix and matrix translation product are given and counting problem of these matrices are then studied.
任意多个矩阵右半张量积的（T，S，2）-逆的反序律。
Reverse order law for the (T, S, 2)-inverse of arbitrary many matrices right semi-tensor product.
三矩阵右半张量积的(T,S,2) -逆的反序律。
Reverse Order Law for the (t, s, 2) -inverse of Triple Matrix Semi-tensor Product.
讨论了局部环上的矩阵表为初等阵之积的因子个数问题，并推广了域上的相应结论。
The number of the elementary matrices representing a matrix over a local ring are discussed, the corresponding results from a field to a local ring are extended.
给出了自共轭四元数矩阵的弱圈积的特征值的一些不等式。
Some inequalities of eigenvalues for weak cycle products of self-conjugate quaternion matrices are given.
本文研究链半环上矩阵的张量积，给出了成立的充要条件并指出了它的一些应用。
In this paper, we will study the tensor product of matrices over a Chain semiring, and.
对多元线性回归模型参数的预测，转化为对其变量集合的增广矩阵的叉积阵的预测。
Prediction to the regression parameters was converted to predict cross product matrix of the variable augmented matrix.
王中德(1989)推广了矩阵直积，给出了矩阵第二类直积和第三类直积运算，并将此运算应用于正交变换的构造。
The matrix direct product is generalized and two kinds of direct products are given by Wang Zhongde (1989). These two kinds of direct products are applied to the construction of orthogonal transforms.
这个矩阵需要很大的存储量和计算量。本文利用矩阵的张量积将原有的矢量插值模型转化成矩阵插值模型。
In this paper, a fast algorithm for image interpolation based on the tensor product of matrices is presented, which transforms the vector interpolation model to matrix form.
本文利用对称复制及平移复制概念，研究了沃尔什函数的构成，并以矩阵的克罗内克积的形式给出了递推关系。
Making use of the concept of symmetry copy and shift copy, the construction of Walsh functions is studied. Recursive relations are given in the form of Kroneker product of matrix.
该方法首先对地球物理和地球化学等网格数据进行二维矩阵的奇异值分解，之后用左特征向量矩阵与右特征向量矩阵的直积构造一个正交完备基。
The MSVD method constructs a self-contained orthogonal basis using the outer product of left and right eigenvector matrixes decomposed from 2D geochemical or geophysical maps.
介绍了矩阵的一种新的运算-拟半张量积，并相应的引入了一系列新的概念及其性质。
The rank of matrix which two matrices act right semi-tensor product is given.
利用树的结构给出了X到Y的映射YZ，Sn以及矩阵积和式per（A）的一种计算方法和高效率计算机鼓轮的设计方法。
In this paper the authors give a kind of useful method that the structure of tree is applied in calculating permutation Sn, mapping YZ and permanent per(A) and designing high-efficient computer cam.
利用树的结构给出了X到Y的映射YZ，Sn以及矩阵积和式per（A）的一种计算方法和高效率计算机鼓轮的设计方法。
In this paper the authors give a kind of useful method that the structure of tree is applied in calculating permutation Sn, mapping YZ and permanent per(A) and designing high-efficient computer cam.
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