基本解释：矩阵环
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Maximal general Armendariz subrings of matrix rings;矩阵环的极大的广义Armendariz子环
Using properties of idempotents,we show several necessary and sufficient conditions for the invertibility of the difference of two idempotents, and exhibit some applications to matrix rings.本文研究在一个有单位元的环中两个幂等元之差的可逆性问题,利用幂等元的性质,得到了两个幂等元之差可逆的几个充分必要条件,并给出了在矩阵环中的几个应用。
And the results are extended to n×n matrix rings.本文得到了一类Mortia Contexts的总体维数与环R的总体维数的相等关系,并且将这个结论推广到n×n矩阵环。
In this paper, we study modules and short exact sequences over two kinds of 2×2 matrix rings.文章讨论了两类二阶矩阵环上的模及其短正合列,得到环R上的短正合列在两类矩阵环的自然推广形式。
Eigenvalues of a kind of circulant matrices and its application on subdivision;一类循环矩阵的特征值及其在细分方法中的应用
VLSI decoding design of low-density parity-check codes based on circulant matrices基于循环矩阵的低密度校验码的VLSI译码设计
Making use of some relations between discrete Fourier transformation and convolution, I give a sufficiency and necessary condition which estimates that a matrix is a circulant matrix, and give concretely an accounting formula of m-orders circulant matrices.利用离散Fourier变换与卷积的关系,给出了判断一个矩阵为循环矩阵的充要条件,并具体给出了一种求循环矩阵的m次幂通项的计算公式。
An algorithm for computing the inverse of two kind circulant matrix;两类循环矩阵求逆的一种算法
On the properties and generalized inverse of (-1)-circulant matrix(-1)-循环矩阵的性质及广义逆
Based on the special charicteristics of circulant matrix, a new formula of inversion for a type of specific matrix is proved in this paper. 求逆矩阵通常的方法是初等变换法或伴随矩阵法,计算量大且容易出错,本文利用循环矩阵的特殊性质给出了一类特殊循环矩阵求逆的计算公式,简化了一类特殊循环矩阵求逆的计算。
Four theorems are presented and proved for eigenvalues and eigenvectors of circular matrix including symmetrical circular matrix, which forms the uniform mathematical principle of phase-sequence transformation for 3-phase and high phase order AC power networks.给出了循环矩阵和对称循环矩阵的特征值和特征向量的4个基本定理:构成了含三相在内的多相交流电网相序变换的统一数学原理。
Circular matrix may be diagonalized while diagonalized matrix is equal to similar circular matrix.循环矩阵可对角化,矩阵可对角化等价相似循环矩
The generalization of a theorem for circular matrix is given by using generalized Vandermonde matrix,and several properties of generalized circular matrix are obtained.利用范德蒙矩阵对循环矩阵的一个定理给出了推广,并得到了广义循环矩阵的几个性质。
On Morphic Property of 3 × 3 Triangular Matrix Ring三级三角矩阵环的morphic性
Armendariz and Semicommutative Properties of Matrix Rings;矩阵环的Armendariz和半交换性质
The Greneralized Moore-Penrose Inverse Of Matrices over Rings;环上矩阵的广义Moore-Penrose逆
The Rank and Property of Matrices Over Hermite RingHermite环上矩阵的秩及性质
We call a matrix the generalized cyclic matrix if it can be written the product of a nonsingular diagonal matrix and a cyclic matrix.可表为非奇异对角矩阵和循环矩阵乘积的矩阵，我们称其为广义循环矩阵。
The approximation problems of any matrix in circle matrix are studied.研究了任意矩阵在循环矩阵中的逼近问题。
Primes in the Doubly Stochastic Matrices and in the Doubly Stochastic Circulants;双随机矩阵和双随机循环矩阵的素元研究
The Method for Evaluating Inverse Matrices of a Kind of Special Level-2 Circulant Matrices;求一类特殊二重循环矩阵逆矩阵的方法
Inversion of permutation factor circulant matrices over Z_p域Z_p上的置换因子循环矩阵的逆阵
The Properties of Generalized Circulant Matrix and the Realization of Circulant Matrix in Mizar System;广义循环矩阵的性质及循环矩阵在Mizar系统中的实现
The Impact of Correlation Matrix on Capacity of Circular Antenna Array MIMO System;相关性矩阵应用于环形MIMO天线阵列容量的研究
Study of graph corresponding to product of two adjacency matrices to two circulant graphs两个循环图的邻接矩阵的乘积矩阵对应图的研究
Study of Digraph Corresponding to Prodnct Matrix of Adjacency Matrix of Any Two Circulaut Digraph;两个有向循环图的邻接矩阵的乘积矩阵对应有向图的研究
The Properties of Regular Tournment Matrices and Eigenvalue of Regular Circulant Tournament Matrices;正则竞赛矩阵的性质和正则循环竞赛矩阵的特征值
The dynamic matrix control algorithm applied to a long time delay unit动态矩阵算法在大时滞环节中的应用
THE MATRIX SOLUTION FOR THE EQUILIBRIUM PROBLEM OF CIRCULAR BAR (OR RING)平面圆弧杆(或圆环)平衡问题的矩阵解
Matrix Solution oif Indefinite Equations of First Degree over Euclidean Ring欧氏环上一次不定方程组的矩阵解法
Closed-Loop Control of AC-AC Matrix Converter Based on DSP;基于DSP的交交矩阵变换器闭环控制
