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companion matrix     
相关语句
  友矩阵
     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
短句来源
     The Companion Matrix of Algebraic Polynomial and Its Applications
     代数多项式的友矩阵及其应用
短句来源
     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。
短句来源
     In this paper the author discusses the simple properties of companion matrix of algebraic polynomial "P_n(x)=x~n-a_1x~(n-1)-a_2x~(n-2)-…-a_(n-1)x-a_n",and gives some general formulas of combinatorial identity and recurrent sequence such as "S(n)=a·S(n-1)+b·S(n-2)+c·S(n-3)" by using the eigenvalues of the matrix.
     该文以友矩阵的特征值为基础,讨论了形如“Pn(x)=xn-a1xn-1-a2xn-2-…-an-1x-an”的代数多项式的友矩阵的一些简单性质,并给出了组合恒等式的几个通项公式以及形如“S(n)=a.S(n-1)+b.S(n-2)+c.S(n-3)”的递归数列的通项公式.
短句来源
  友阵
     Some new congruence and twining relations are investigated by using the known one of Bez(a,b) with the first companion matrix of a(λ).
     利用Bez(a,b)矩阵与其中多项式a(λ)的第一友阵适于的缠绕关系,以及a(λ)和b(λ)的变量变换关系给出了Hankel矩阵所满足的几种新型合同关系、缠绕关系;
短句来源
     This paper discusses the inverse eigenvalue problem of companion matrix asfollow:give any sequences λ1,λ2, …, λn, then companion matrix M has λ1,λ2, …,λn, as its eigenvalues. The paper also points out the method to get the solution.
     本文主要讨论友阵的逆特征值问题,对于下文(0)式所示矩阵,任意给定n个数λ1,λ2,…,λn.使M以λi(i=1.2,…,n)为其特征值.
短句来源
     A new method to judge the relatively prime on double polynomials(a(λ)) and b(λ) is given in terms of the Barnett factorition of Bezout matrix and the unanimity of the zero-points with the eigenvalues of the first companion matrix of a(λ).
     利用Bezout矩阵的Barnett分解以及Bez(a,b)中a(λ)的零点与其第一友阵特征值的一致性,给出了利用Hankel矩阵的非奇异性判定多项式对互素的新方法.
短句来源
     RECURRENCE METHOD OF INVERSE EIGENVALUE PROBLEM OF COMPANION MATRIX
     友阵逆特征值问题的递推法
短句来源
     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。
短句来源
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  伴侣矩阵
     Polynomials in the Companion Matrix and Divisiblity of the Polynomials
     伴侣矩阵的多项式与多项式的整除性
短句来源
     Roth Elimination Law of Companion Matrix and Its Application
     伴侣矩阵的Roth消去律及其应用
短句来源
  “companion matrix”译为未确定词的双语例句
     Balancing Transformation on the Companion Matrix of RotorBearings System's Frequencies Equation
     转子支承系统频率方程伴随矩阵的平衡变换
短句来源
     Property of Matrix A's Companion Matrix A~*
     方阵A的伴随矩阵A~*的性质
短句来源
     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。
短句来源
     Balancing transformation on the companion matrix can greatly reduce its numerical illconditioned characteristics including huge Euclid norm and great differences among matrix elements. A numerical example validates the importance of balancing transformation technique.
     应用矩阵相似变换理论,对矩阵进行了一系列相似变换的平衡过程,大大减轻了伴随矩阵Euclid范数大、各元素量级相差巨大的数值病态特征。
短句来源
     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。
短句来源
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  companion matrix
The connection between the two algorithms exhibits a similarity transformation from the classical Frobenius companion matrix to the tridiagonal matrix.
      
The approach is based on a special decomposition of the companion matrix.
      
The property enables the QR-iteration for a companion matrix to be performed in linear time using a linear memory space.
      
Matrix methods based on the QR eigenvalue algorithm applied to a companion matrix are customary for polynomial root-finding.
      
In this note a new companion matrix is presented which can be interpreted as a product of Werner's companion matrices [13].
      
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Through the relationship of the real polynormial of degree n and an n×n companion matrix, this paper turns the question of solving for the roots of a polynormial into the question of finding out the eigenvalues of the matrix. By use of the power method to the companion matrix, this. paper has derived the Bernoulli formula and its procedure of deformation easily, thus the quicker formula of the power method can be used to the Bernoulli procedures to quicken the convergent speed.

本文通过n次实多项式与n阶相伴矩阵的对应关系,把求多项式根的问题转化为求矩阵的特征值问题,特别是应用幂方法于相伴矩阵,简单地导出了贝努利求根公式及其变形程序,从而使幂方法的加快公式得以用到贝努利程序上来,加快了该方法的收敛速度。

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。

An algorithm for power of companion matrix is presented in this paper. The algorithm described will be found to have practical application to computers for finding the region of zero of incomplete polynomials in the complex plane.The representation of the unique solution X of the matrix cquation AX-XB = E is also devoloped.

本文提供友阵幂的一种算法,所叙述的算法将用来建立不完全多项式的零点在复平面上的分布区域,同时导出矩阵方程AX-XB=E的唯一解X的表达式。

 
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