The property of companion matrix is studied, and the method of calculating the characteristic polynomial of matrix with similar transformation is explained. 研究了友阵的性质,论述了用相似变换计算矩阵特征多项式的方法。
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
Recurrence method of inverse eigenvalue problem of companion matrix 友阵逆特征值问题的递推法
Roth Elimination Law of Companion Matrix and Its Application 伴侣矩阵的Roth消去律及其应用
Property of matrix A's companion matrix A is discussed in this article. 本文讨论了n阶方阵A的伴随矩阵的性质。
In this paper, all companion equations are deduced in terms of adjoint matrix expansion and matrix transposition, therefore the traditional methods are improved. 本文利用伴随阵展开和传递矩阵转置,推求出全部相伴型状态方程,简化了传统方法。
Companion Matrix of Polynomial over Finite Field with Its Application in Coding 有限域上多项式的友矩阵及其在编码中的应用
This article analyzes a few profound concepts, such as companion matrix, line vector, column rector, orthogonal matrix, and recommend many qualities, which are difficult to grasp for many students. 本文剖析了线性代数中伴随矩阵、行向量与列向量的乘积、正交矩阵几个较难掌握的概念,由此引出这些概念的一些基本特征和性质。
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。
This paper gives some properties of companion matrix of polynomial over finite field with its application for evaluating period of linear shift register sequence and minimal length of cyclic code. 本文给出了有限域上多项式的友矩阵的某些性质,及其在计算线性移位寄存器序列的周期和循环码的最小长度的应用。
The Companion Matrix of Algebraic Polynomial and Its Applications 代数多项式的友矩阵及其应用
In the programming for finding the eigenvalues of the companion matrix of the characteristic polynomial equation, a new balancing transformation technique is developed. 求解频率方程时采用求特征多项式伴随矩阵全部特征值的方法。
Zeros and poles are obtained by means of orthogonal companion matrix and the winding deformations are diagnosed according to their distribution. 利用正交伴随矩阵求取传递函数的零、极点,并根据零、极点的分布变化判断绕组变形与否。
A concept of companion vector was introduced, and a definition of rank of quaternion matrix was given, and a simple proof of Jordan canonical form of matrices over quaternion field was studied. 引入了友向量的概念,给出了四元数矩阵的秩的一种定义方法和四元数矩阵Jordan标准形的一种简单证明和算法。
In the simplest normal form, the nonlinear coefficient matrix contains non-zero elements only in the row corresponding to the last row of each companion matrix and zero elements in the remaining rows. 在该最简规范形中,对应于每一个相伴矩阵的非线性系数矩阵,只有最后一行含有非0元素,其余各行元素均为0。
During the feature dimension reduction, a companion state tree ( CST) algorithm is proposed to eliminate the linear correlation of node energy and avoid the singular problem of the within-class scatter matrix. 在采用结点能量作为特征进行特征降维时,提出了一种伴随状态树的方法来消除结点能量的线性相关性以避免类内离散度矩阵奇异问题。