The diffience of the two different situations is how choice the sequences of circulant matrix. 两种不同情形的讨论主要区别在于循环矩阵序列的选择。
On the properties and generalized inverse of (-1)-circulant matrix (-1)-循环矩阵的性质及广义逆
An Algorithm for Computing the Square-Rooting Matrices of the Companion Circulant Matrix 关于友循环矩阵开平方的一种算法
Diagonalization of circulant matrix has been discussed by [ 1]. 文〔1〕讨论了循环矩阵的对角化问题。
Some properties of the block circulant matrix 分块轮换阵的一些性质
The Inversion of Circulant Matrix 循环矩阵的求逆
Using the characteristic of the circulant matrix, the computing procedure is simplified. 利用循环矩阵的性质,简化了数值求解过程。
On a fast algorithm for computing the inverse of two kind circulant matrix 关于两类循环矩阵求逆的一种快速算法
On radication of r-circulant matrix 关于r-循环矩阵的开平方运算
There is only an error of approximation when the fast algorithm is implemented on computers, and only the elements in the first row of the scaled factor circulant matrix and the constants in the diagonal matrix are needed by the fast algorithm. 该快速算法仅用到鳞状因子循环矩阵的第一行元素及对角矩阵中的对角上的常数进行计算。在计算机上实现时只有舍入误差。
Firstly, the paper studies the image degradation model including the convolution model and the circulant matrix computing model. The classical restoration algorithms are described based on both the frequency domain frame and the linear algebraic frame. 论文首先研究了图像的降质模型,包括卷积模型和循环矩阵计算模型,并在此基础上从频域框架和线性代数框架两个方面对现有的经典复原算法进行了分析。
The Characteristic Polynomial and the Minimal Polynomial of Circulant Matrix on F-q 有限域Fq上轮换矩阵的特征多项式与极小多项式
The properties of the generalized sylvester matrix are discussed when two polynomial matrices are right coprime. The relations between an R-block circulant matrix and a suitable generalized Sylvester matrix are presented. The necessary and sufficient condition for R-block circulant matrix invertible is obtained. 讨论了两个多项式矩阵右互质时其广义Sylvester矩阵的性质,指出了广义Sylvester矩阵与R-循环分块矩阵的联系,得到了R-循环分块矩阵可逆时的充要条件。
The method of inverting the circulant matrix and the expression of inversion of the circulant matrix are obtained in this paper. 本文给出了循环矩阵的求逆方法,给出了循环矩阵的逆矩阵的表达式。
Hence an algorithm for the minimal polynomial of a block circulant matrix over the field is presented. bner基,从而给出了求块循环矩阵的极小多项式的算法。
In this paper, an algorithm for computing the square-rooting matrices of the companion circulant matrix is given. At the same time, the number of the square-rooting matrices of the companion circulant matrix which are still companion circulant matrices is 2~ n. 给出了求友循环矩阵的平方根矩阵的一种算法,同时证明了n阶友循环矩阵的平方根矩阵中仍为友循环矩阵的矩阵个数为2n个。
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(?)
Application of Orthogonal Block Circulant Matrix in MLA-LCD 正交块循环矩阵在多路寻址液晶驱动中的应用
Algorithms for the minimal polynomial and the inverse of a given block circulant matrix over a group algebra of a finite group over a field are presented, and a method of determining singularity of this block circulant matrix is given. ·给出了求域上有限群的群代数上的块循环矩阵的极小多项式的算法,西安电子科技大学博士学位论文:多项式代数及其应用奇异性判别法及其逆矩阵的求法。
The new method of making up Orthogonal Block Circulant Matrix systematically by Paraunitary Matrix is also presented. 分析正交块循环矩阵特性后,介绍了基于类单位矩阵的系统化构造正交块循环矩阵的方法。
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。
The definition of the σ matrix was given by the n cycle, the σ matrix was a generalization of the circulant matrix. 利用n-循环置换给出了σ-矩阵的定义,σ-矩阵是循环矩阵的一种推广。
Properties of Bloch Circulant Matrix and It's Application for Digital Image Processing 分块循环矩阵的性质及其对数字图象处理的应用
A new algorithm for finding the inverse of a nonsingular r-circulant matrix is presented by the Euclid algorithm of polynomial. Extension is made to compute the group inverse and the Moore-Penrose inverse of a singular r-circulant matrix. 利用多项式的Euclid算法给出了非奇异的r-循环矩阵求逆矩阵的一个新算法,该算法同时推广到用于求奇异r-循环矩阵的群逆和Moore-Penrose逆。
Application of Circulant Matrix on Surface Modelling 循环矩阵在曲面造型中的应用
Properties of elementary r partition circulant matrix 初等r-分块循环矩阵的几个性质
Secondly, with the development of the skew symmetric and skew circulant matrix, several block skew-symmetric and skew-circulant matrix were defined, two of which were discussed in terms of features and characteristics. 其次,将反对称反循环矩阵进行了推广,得到了几种分块反对称反循环矩阵,并对其中的两种特殊分块的反对称反循环矩阵的性质进行了讨论。
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。
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。
The research on special circulant matrix contains important practical significance for its excellent structure and property, important application in technology project. 由于特殊循环矩阵有着优良的结构和性质,并在科技工程领域具有重要的应用,因此,对特殊循环矩阵的研究具有重要的现实意义。