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jordan形
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  jordan 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.
     因而,它们能够直接导致著名的Jordan定理及空间的第三分解定理,且能给出对Jordan形精致微妙结构的新的深刻洞察。
短句来源
     Then, the follows are gotten: the existence of Jordan form main matrices which are similar to a square matrix, and a necessary and sufficient condition of a matrix similar to a diagonal matrix, and the real coefficient minimum polynomial of a matrix.
     用之导出四元数方阵所相似的Jordan形主矩阵的唯一性,四元数矩阵相似于对角形矩阵的一个充要条件及四元数方阵的最小实系数零化多项式的形式。
短句来源
  jordan forms
     The embedding problem of finite order stochastic matrices with simple Jordan forms is solved.
     本文对有限阶具有简单Jordan形的随机矩阵的嵌入问题,给出了圆满地解决
短句来源
  “jordan形”译为未确定词的双语例句
     A SIMPLE METHOD OF CALCULATING THE JORDAN FORN FOR A MATRIX
     矩阵化为 Jordan 形的一种简便方法
短句来源
     For solving stability of motion in a nonlinear relative rotation shafting, a sort of periodic variable coefficient linear ordinary differential equations was studied. Movement stabilization criterion of nonlinear relative rotation system was obtained by transferring the fundamental matrix of the solution of the ordinary differential equation to Jordan canonical .
     利用一类周期性变系数线性常微分方程解的基本矩阵的Jordan形,分析一类非线性相对转动系统扭转的运动稳定性,从而得到非线性相对转动周期系统的运动稳定准则.
短句来源
     That anyone octaven character matrix is equivalent with a complex Jordan character matrix is proved.
     文章证明了任何一个八元数方阵的特征方阵等价于复Jordan形方阵的特征方阵。
短句来源
  相似匹配句对
     ON THE JORDAN CANONICAL FORM
     关于Jordan标准
短句来源
     Jordan Canonical Forms of Matrices over Quaternion Field
     四元数矩阵的Jordan标准
短句来源
     Shape * Shadow
     *影
短句来源
     THE CALCULATION OF JORDAN CANONICAL METRIX
     Jordan矩阵的计算
短句来源
     THE EXTENDED JORDAN’S LEMMA
     广义Jordan引理
短句来源
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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 forms
We construct the corresponding spectral problems based on the overdetermined 2d×2d linear systems with a spectral parameter and the universal (i.e., solution-independent) structures of the canonical Jordan forms of their matrix coefficients.
      


An equivalent condition for a finite order stochastic matrix to be a discrete skeleton is found in this paper.The embedding problem of finite order stochastic matrices with simple Jordan forms is solved.

本文找到了有限阶随机矩阵为离散骨架的一个比较初等的等价条件;本文对有限阶具有简单Jordan形的随机矩阵的嵌入问题,给出了圆满地解决

New objects characterizing the structure of complex linear transformations are introduced.Tbese 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.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....

New objects characterizing the structure of complex linear transformations are introduced.Tbese 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.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 latter indicates that the Jordan canonical form of a complex linear transformation is an invariant structure associated with double arbitrary choices.

本文引入表征复线性变换结构的新对象。这些新对象给出复向量空间关于复线性变换分解的新结果且给出构造Jordan标准形的所有Jordan基。因而,它们能够直接导致著名的Jordan定理及空间的第三分解定理,且能给出对Jordan形精致微妙结构的新的深刻洞察。后者表明,复线性变换的Jordan标准形是一种在双重任意选择下具有不变性的结构。

This paper gives further portray of Generalized eigenvector and Generalized characteristic subspace, obtined Transition matrix form a group base of n-dimensional linear Space, make arbitrary n-dimensional complex matrix Similarity its Jordan matrix.

本文对广义特征向量和广义特征子空间进行刻划,得到n维线性空间的一组基构成过渡矩阵,使任一n级复数矩阵相似于它的约旦(Jordan)形矩阵.

 
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