In this paper, we will study the tensor product of matrices over a Chain semiring, and.
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, a fast algorithm for image interpolation based on the tensor product of matrices is presented, which transforms the vector interpolation model to matrix form.
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。
The relationship between the eigenvalue, eigenvector and the rank of the product of matrices AB and BA is discussed, and the factorization of the singular values of matrix a is obtained.
讨论了矩阵乘积ab与BA的特征值、特征向量及秩等的关系，并得到了矩阵的奇异值分解。
We firstly obtain an inequality of matrices product and its converse inequality.
得到的一个矩阵乘积不等式及其逆向不等式。
It is shown that the augmented matrix of misaligned complex optical systems can be represented by an ordered product of basic matrices.
研究表明，失调光学系统的增广矩阵可用三个基本矩阵的有序乘积表示。
Generally QFD utilizes four sets of matrices called house of quality (HOQ) to relate the customer requirements to product planning, parts deployment, process planning and manufacturing operations.
通常情况下质量功能展开的应用称之为质量屋的四组矩阵：产品规划质量屋、部件展开质量屋、过程规划质量屋和生产计划质量屋。
It is studied factorizing a matrix over quaternion field to the product of two self - conjugate matrices . and some useful results are obtained.
摘要研究了四元数矩阵分解为两个自共轭矩阵乘积，其中有一个是非奇异阵的条件，得到了一些有用的结果。
Some new concepts on strong magic dual matrix and matrix translation product are given and counting problem of these matrices are then studied.
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。
Reverse order law for the (T, S, 2)-inverse of arbitrary many matrices right semi-tensor product.
任意多个矩阵右半张量积的（T，S，2）-逆的反序律。
In this paper, the author gives a kind of expression of symplectic matrices by using the result that any matrix on a field is a product of two symmetric matrices.
通过运用在域上任何矩阵都是两个对称矩阵乘积的结论，给出了一种辛矩阵的表示方法。
Secondly, we discuss the problem of decomposing a nonnegative matrix into a product of fully indecomposable nonnegative matrices in chapter 2.
其次，在第二章中，我们讨论了将一个非负矩阵分解成有限多个完全不可分非负阵的乘积的问题。
Secondly, we discuss the problem of decomposing a nonnegative matrix into a product of fully indecomposable nonnegative matrices in chapter 2.
其次，在第二章中，我们讨论了将一个非负矩阵分解成有限多个完全不可分非负阵的乘积的问题。
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