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jordan标准型     
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  jordan canonical form
     AN ALGORITHM FOR DETERMINING JORDAN CANONICAL FORM OF A REAL UNSYMMETRIC MATRIX
     确定实非对称矩阵Jordan标准型的一种算法
短句来源
     THE JORDAN CANONICAL FORM OF A REAL RANDOM MATRIX
     实随机矩阵的Jordan标准型
短句来源
     Application of Jordan Canonical Form to Nonhomogeneous Linear Ordinary Differential Equations
     Jordan标准型在非齐线性常微分方程中的应用
短句来源
     For the linear system x' - A(t)x, necessary and sufficient conditions for stability are derived, and for the case that A is constant or periodic matrix, these results are equivalent to the classical results from the Jordan canonical form and the Floquet Theory.
     导出了关于线性系统χ'=A(t)χ稳定性的充要条件. 对于A是常数或周期矩阵的情形,我们的结果与从Jordan标准型和Floquet理论得到的经典结论相同.
短句来源
  the jordan canonical form
     THE JORDAN CANONICAL FORM OF A REAL RANDOM MATRIX
     实随机矩阵的Jordan标准型
短句来源
     For the linear system x' - A(t)x, necessary and sufficient conditions for stability are derived, and for the case that A is constant or periodic matrix, these results are equivalent to the classical results from the Jordan canonical form and the Floquet Theory.
     导出了关于线性系统χ'=A(t)χ稳定性的充要条件. 对于A是常数或周期矩阵的情形,我们的结果与从Jordan标准型和Floquet理论得到的经典结论相同.
短句来源
     AN ALGORITHM FOR COMPUTING TRANSFORMATION MATRIX OF THE JORDAN CANONICAL FORM OF ANY MATRIX
     矩阵的Jordan标准型的变换矩阵的计算方法
短句来源
     AN ALGORITHM OF OBTAINING THE JORDAN CANONICAL FORM OF MATRICFS BY MATRICES POWEVING
     用乘幂法计算矩阵Jordan标准型的一种方法
短句来源
  jordan ' s normal form
     Jordan's Normal Form of 2-nilpotent Matrix
     2-幂零矩阵的Jordan标准型
短句来源
     In this paper, we prove that an arbitrary 2 nilpotent matrix over general fields exists in Jordan's normal form that is given clearly , and we also prove that two 2 nilpotent matrixes are similar only if their ran ks are equal.
     证明了一般域上的 2 -幂零矩阵存在 Jordan标准型 ,并给出其明确表示 . 同时也证明了两个 2 -幂零矩阵相似的充要条件是它们的秩相等
短句来源
     We give the structure of the stable group of the Jordan's normal form of 2-nilpotent matrices under the similarity transformation. One construction of Cartesian authentication codes from 2-nilpotent matrices over a finite fields is presented and its size parameters are computed.
     给出 2 -幂零矩阵的Jordan标准型在相似变换下的稳定群的结构 ,利用有限域上 2 -幂零矩阵构作了一个Cartesian认证码 ,计算出了该认证码的参数 .
短句来源
     Because M_i is difficult to solve,this paper utilizes the characteristic of similar matrices and the Jordan's normal form,an upper bound of the degree of polynomial P~((i))_j(t) between M_i-1 and n_i-1 is found,making calculating more convenient and efficient.
     由于Mi计算起来非常困难,本文利用相似矩阵的特点和Jordan标准型在Mi-1与ni-1之间找到了一个便于应用的多项式P(j i)(t)次数的上界,使计算起来更加方便和有效。
短句来源
  “jordan标准型”译为未确定词的双语例句
     Construction of Cartesian Authentication Codes from 2-Jordan Normal Form of Matrices
     由矩阵的2-Jordan标准型构造Cartesian认证码
短句来源
     Let A be a n×n(0-1)matrix,J be a n×n matrix,and eachelement of J is 1.In this paper,we discuss the class of solution to mat-rix equation A~2=J. by Jordan canonical forms.
     设A 是一个n×n(0—1)阵,J 是n×n 阶矩阵,J 的每个元素都为1。 本文利用Jordan 标准型讨论矩阵方程A~2=J 的解的分类问题。
短句来源
     And the methods which are based on the state transformation from systems ( A,B,C ),particularly all kinds of systems (Λ, B,C ) and systems (J,B,C) into the systems ( M,, ) are also proposed indirectly.
     且暗示出一种把系统(A,B,C),特别是无论特征值相同或相重与否,也无论同一个特征值组成多个Jordan块与否的对角型或Jordan标准型状态变换为模式系统(M,B~,C~的方法
短句来源
     This paper is devoted to the study of a nonhomogeneours nth order linear ordinary differential equations with constant coefficients P(D)x=acose t+bsine t Where P(D)=D n+a 1D n-1+. . .
     本文利用等价方程组 ,友矩阵与 Jordan标准型 ,研究了 n阶常系数线性非齐次常微分方程P(D) x=acoset+ bsinet其中 P(D) =Dn + a1Dn-1+… + an,D=ddt,a1,a2 ,… ,an,a,b为任意实常数 .
短句来源
     When H is a finite-dimensional Hilbert space, we know from the theorem on Jordan forms that the eigenvalues and the generalized eigenspaces of an operator form a complete set of similarity invariants.
     当(?) 是有限维空间时,由著名的Jordan标准型定理知道,算子的特征值及其广义特征子空间是算子的完全相似不变量。
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  jordan form
Design of nonlinear systems based on the controllable jordan form
      
The controllable Jordan form of the control-affine system equations was shown to exist besides the controllable Frobenius form.
      
Accordingly, they can result in the celebrated Jordan theorem and the third decomposition theorem of space directly and, moreover, they can give a new deep insight into the exquisite and subtle structure of the Jordan form.
      
The result shows again that the solutions of the special paradox on elastic wedge in the classical theory of elasticity are just Jordan form solutions in symplectic space under Hamiltonian system.
      
Then all the eigen-solutions and the eigen-solutions in Jordan form on eigenvalue zero can be given, and their specific physical significations were shown clearly.
      
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  jordan canonical form
These new objects yield a new result for the decomposition of complex vector spaces relative to complex linear transformations and provide all Jordan bases by which the Jordan canonical form is constructed.
      
The latter indicates that the Jordan canonical form of a complex linear transformation is an invariant structure associated with double arbitrary choices.
      
Using quaternion multiplication and the double determinant theory over quaternion field, we proved that an arbitrary quaternion square matrix is similar to a unique Jordan canonical form indicated by its principal characteristic values.
      
Mehrmann are studied and the following results are obtained: 1) It can be transformed to Jordan canonical form by orthogonal similar transformation; 2) Its condition number is a constant; 3) The condition number of it is about 2.618.
      
All the eigensolutions and Jordan canonical form eigensolutions for zero eigenvalue of the Hamiltonian operator matrix are solved in detail, and their physical meanings are showed clearly.
      
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  the jordan canonical form
These new objects yield a new result for the decomposition of complex vector spaces relative to complex linear transformations and provide all Jordan bases by which the Jordan canonical form is constructed.
      
The latter indicates that the Jordan canonical form of a complex linear transformation is an invariant structure associated with double arbitrary choices.
      
The stability of the non-trivial steady-state solution is studied for cases in which the corresponding linear autonomous system of equations, obtained by setting ? = o, is in the Jordan canonical form with two equal non-zero characteristic values.
      
The Moore-Penrose and group inverse of square matrices and the Jordan canonical form
      
This paper is a continuation of the paper [3], where the first two Penrose's equations are solved for a square matrix, which is transformed into the Jordan canonical form.
      
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