The polynomial matrix criteria of controllability and observability related to such systems are presented.
它是用微分算子矩阵方法研究广义动态系统的开端。
Both the state space method and the polynomial matrix interpolation method are introduced to solve the problem.
分别引入了解决这一问题的状态空间方法和多项式矩阵插值方法。
Notice that constructing the ARMA innovation model, a left co-prime factorization to a polynomial matrix must be performed, so that the ARMA innovation model can correctly be obtained.
应注意在构造ARMA新息模型时，必须进行多项式矩阵的左素分解，才能得到正确的ARMA新息模型。
Finally, we present an efficient algorithm for computing the minimal polynomial of a polynomial matrix. It determines the coefficient polynomials term by term from lower to higher degree.
最后，我们给出了一种计算多项式矩阵最小多项式或特征多项式的有效算法，它从低次项到高次项逐项确定最小多项式的系数多项式。
In this paper we get a seeking unified method of the least common multiple the greatest common factor and coefficients polynomial by implementing elementary row transformation in a polynomial matrix.
利用矩阵的初等变换，给出了两个多项式的最小公倍式、最大公因式及其系数多项式的统一求法。
It runs on a variety of computer systems and is especially good at arithmetic involving arbitrary-length integers and fractions, graphics, and matrix and polynomial algebra.
它在各种各样的计算机系统上运行，尤其擅长于涉及任意长度整数和小数、图、矩阵和多项式代数的算术。
This paper obtained the following results: a simple solution for the similarity matrix under a similarity transformation is obtained by using a matrix polynomial.
本文得到下列结果：通过应用矩阵多项式，得到一个相似变换下变换矩阵的简便解法。
It shows that the presented method can be used to identify modal parameters effectively under ambient excitation and that the polynomial eigenvalue method is superior to the augmented matrix method.
结果表明，多参考点互相关差分模型能够有效地进行环境激励下的模态识别，并且多项式特征值法比增广矩阵法所得结果更好。
At the same time, some basic formulas of RS(255,247)code are also concluded, such as generated polynomial, syndromes matrix, key equation and so on.
并针对该系统所用的RS（255，247）码推导出了一些基本公式，包括生成多项式，伴随式矩阵，关键方程等。
Another expression of the radial matrix elements for isotropic harmonic oscillator is obtained by using progressional expression of the generalized Laguerre polynomial and the partial integration.
利用广义拉盖尔多项式的级数表达式和分步积分法，给出了各向同性谐振子径向矩阵元的另一种表达式。
There are two kinds of method to calculate the eigenvalues of a matrix: characteristic polynomial method and QR method.
结合多项式方法和QR方法各自的特点，提出了一种计算矩阵重特征值的方法。
New method of parameter estimation for time varying non linear distributed systems is proposed in term of orthogonality of orthogonal polynomial and differential operation matrix.
利用正交多项式序列的正交性及微分算子矩阵，论述了时变非线性分布参数系统参数估计的正交多项式法。
A polynomial algorithm about minimal marking of structural live Petri nets is presented, it is based on incidence matrix and the constructive of transitions sequence.
从网的关联矩阵以及所定义变迁发生序列的结构，求解结构活网的极小标识，得到了一个多项式时间算法。
An expression for the mean and covariance matrix of normal random matrix polynomial is derived by applying the method of matrix differentiation to generating function.
本文应用对母函数微分的方法得到正态随机矩阵多项式的均值与协差阵的表达式。
This paper introduces the reduced order theory of characteristic polynomial and its application in the higher order matrix aspects are presented.
研究特征多项式的降阶定理以及它在高阶矩阵方面的应用。
Based on the pseudo-division algorithm for multivariate matrix polynomials, a new solving process of characteristic series for algebraic polynomial systems is given.
基于矩阵多元多项式的带余除法，给出了代数情形多项式组特征列的一种新求法，并举例验证了这种方法的有效性。
The property of polynomial of one indeterminate matrix has been summed up a lot, but polynomial in two elements and multivariate polynomial of the matrix are discussed a little.
其中一元多项式矩阵的性质已经归纳出很多，但是对二元乃至多元多项式矩阵性质的探讨仍旧很少。
This paper studies some properties of the trace of the polynomial of a matrix.
研究矩阵多项式的迹的若干性质。
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。
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。
To overcome dimension curse of conditional probability matrix, casual rules in databases is converted to linear polynomial, which makes calculation simple.
为克服数据库因果关系条件概率矩阵维数灾，将因果关系转化为线性多项式，可使计算简便。
After that we study on the ordered decision table and propose a new heuristic attribute reduction algorithm based on dominance matrix, whose time complexity is polynomial.
再次，对有序决策表进行了研究，提出了一种基于优势矩阵的启发式属性约简算法。
The direct sum decomposition of the addition of a linear transformation under the coprime polynomial was given, and it was used in the proof of some equality about the rank of idempotent matrix.
给出了两两互素多项式下线性变换的核的直和分解，并应用于幂等矩阵（对合矩阵）的秩的等式证明中。
The approaches are presented for constructing orthogonal polynomial filter and matrix CQFs.
主要讨论了多项式正交滤波器和共轭正交滤波器组的构造方法。
We also give necessary and sufficient conditions that any solution can be explicitly expressed by matrix polynomial of a.
此外还给出可以用a的多项式来表示方程的解的充要条件。
The nodal equations and response matrix equations are derived using higher order polynomial approximations to the spatial dependence of the flux within the hexagonal-z node.
六角形节块内的中子通量密度分布采用高次多项式近似表示，最后导出通量矩方程及偏流的响应矩阵方程。应用粗网再平衡和渐近源外推方法加速收敛。
Taking cubic polynomial for instance, it built state transition matrix and other parameters;
以三次多项式为例，构建了状态转移矩阵和其它参数；
Taking cubic polynomial for instance, it built state transition matrix and other parameters;
以三次多项式为例，构建了状态转移矩阵和其它参数；
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