We got the standard form of nonsingular matrix over the finite field by means of BN pair decomposition under the similarity transformation of the permutation matrix. 利用有限域上一般线性群的BN对分解,给出有限域上的可逆矩阵在置换阵相似变换下的标准形。
Application on algorithm of permutation matrix in rough set attribute reduction 置换矩阵算法在粗糙集属性约简中的应用
After several properties of the partial permutation matrices are established, this relationship is used to obtain some matrix inequalities of the block Kronecker products. 然后利用这关系得到一些关于块Kronecker积的矩阵不等式。
This article relates to the process of n-order matrix, the full permutation of n × n elements which is implemented by C++ program language, and resolves the problem of which traditional programming method can not implement the full permutation of all elements in that matrix. 探讨了n阶矩阵nn个元素的全排列用C++程序语言的实现过程,解决了传统编程方法无法实现矩阵的所有元素的全排列的难题。
Two Kinds of Equivalent Classes in Permutation Matrix 置换矩阵的两种等价类
This paper accounts for the trace class and the permutation similarity class in permutation matrix. Those two kinds of equivalent classes can show effectively the inside structure of permutation matrix and make us understand permutation matrix well. 给出了置换矩阵的迹类和置换相似类,这两种等价类能有效地层示置换矩阵的内部格局,深化其认识。
This paper improves existing permutation matrix of job-shop scheduling problems. A new computational energy function of Hopfield neural networks for the job-shop scheduling problems is given. Then the improved method of solving job-shop scheduling problem based on Hopfield neural network is proposed. 对作业车间调度问题的换位矩阵表示方法进行了改进,给出新的作业车间调度问题的Hopfield神经网络计算能量函数表达式,然后提出改进的Hopfield神经网络作业车间调度方法。
The Inertias of Some Permutation Sign Pattern Matrix with Zero Diagonal Entries 主对角线全为零的置换模式矩阵的惯量
This approach first obtains a very long periodic pseudo-random sequence by m-sequence, then generates some not repeat MacroBlock permutation matrix using this sequence, and permutates each video frame with different permutation matrix. 该技术首先采用m序列来产生一个超长周期的伪随机序列,然后用该序列顺序生成完全不重复的宏块置乱矩阵,最后对每个视频帧依次用不同的置乱矩阵置乱。
In this paper, the properties of permutation matrix are studied by using group theory, and the isomorph relation is built between n-order permutation matrix and n-order permutation group. 本文用群的观点研究置换矩阵的性质,并在n阶置换矩阵与n阶置换群之间建立了同构关系。
The main works are as following: We study the Hopfield neural networks and Simulated Annealing scheduling algorithm, design Permutation Matrix and energy function, and realize the algorithm of enterprise resource scheduling based on Hopfield neural networks and Boltzmann machine. 设计了Hopfield神经网络的换位矩阵和能量函数,用连续型Hopfield神经网络和玻尔兹曼机实现了企业共享资源的调度算法。
In this paper, the permutation factor circulant matrix over any field is introduced. 本文引入了任意域上置换因子循环矩阵,利用多项式环的理想的Gr(?)
This paper itself discusses the space locality and permutation fidelity of matrix. 该文抽象地讨论了阵的空间局部性和变换保真度。
Applying permutation matrix, the association and the system isomorphism between contractual relationship modeling in theory and its operation in practice were verified. 采用置换矩阵,验证了契约关系模型理论构建与现实运作间的关联关系及系统的同构性。
The Permutation representation and the matrix representation of a finite volume hypergroups were given in this paper by the left translation action of the finite volume hypergroups. 通过有限容幂群在其自身上的左平移作用,给出了有限容幂群的置换表示和矩阵表示。
A concurrent permutation based multilevel matrix ordering strategy for parallel process simulation 针对复杂系统并行模拟问题的并发式多级矩阵重排算法
On the Least Polynomial of Permutation Matrix 关于置换矩阵的最小多项式
The mathematical model of the permuted image is obtained by its definition. According to the permutation mixing matrix is a special binary matrix, of which each entry equals 0 or 1, a BSS model of the permuted image is described by estimating the mixing matrix. 根据置换混叠图像的定义给出了其数学模型,并在置换混合矩阵为特殊二值矩阵(0、1矩阵)的基础上,提出了基于混合矩阵估计的置换混叠盲分离模型。
In the application of one dimensional chaos, the author puts forward a new method of producing imaging permutation matrix by using two one-dimensional chaotic system, which is of high speed and good permutation effects. 在一维混沌的应用上,提出了用多个一维混沌系统产生图像置乱矩阵的方法,该方法速度快、置乱效果好。
The research on the solution for the inverse matrices of special circulant matrix has been a hot issue in recent years. However, the research on r-block permutation factor circulant matrix is quite rare. 近年来,一些特殊循环矩阵的逆矩阵求法的研究是一个热点问题,而对r-块置换因子循环矩阵的相关研究还非常少见。
In these two methods, the permutation matrix is established by utilizing the relationship of three scanning orders on space smoothing. The computational load of the other dimension parameters estimation is decreased. 这两种修正方法利用空间平滑三种扫描顺序之间的关系,建立置换矩阵,简化了目标三维散射中心参数提取的计算量。
In addition, because the permutation matrix is a special Boolean matrix, the question that the result of three basic Boolean operations between permutation matrices is still or not a permutation matrix is also discussed. 此外,由于置换矩阵是特殊的布尔矩阵,所以还讨论了置换矩阵间的三种布尔运算是否仍为置换矩阵的问题。
R-block permutation factor circulant matrix is defined and its property are studied. 给出了r-块置换因子循环矩阵的概念并讨论了它的基本性质。
In the nineteenth century, the system of algebraic knowledge is enormous, which contains the permutation group, matrix, algebraic number theory, algebraic geometry and other branches. 十九世纪的代数学知识体系庞大,它包含置换群、矩阵、代数数论、代数几何等多个分支。
Analysis shows that there is only a difference of one permutation matrix between the estimated and the real separation matrices, if the J-Di algorithm that is used traditionally for non-orthogonal JD, is directly applied to JBD. 研究表明,将适用于非正交JD的J-Di算法直接用于JBD所得到的分离矩阵,与真实的JBD分离矩阵之间,只相差一个置换矩阵。
The fast gauss elimination based on basic grouping operation eliminates the whole permutation matrix considered as a unit, which reduces the complexity of the algorithm. 快速高斯消元算法在基本分组运算的基础上,以单位置换阵为基本单元进行整体消元,降低消元算法的复杂度。
Among thses matrices, bidiagonal matrix and approximately lower triangular array matrix have determinate construction and can provide linear encoding algorithm, and both subscript matrices, masking matrix and permutation matrix need to be redesigned. 其中双对角线矩阵和近似下三角阵列矩阵是确定结构的,具有高速线性编码的功能;而两种下标矩阵、模板矩阵和置换矩阵均具有类随机结构特征,可以根据需要进行再设计。