Based on the relation between elementary transformation and elementary matrix,andtheory of matrix coefficient polynomial,this paper expounds the structure of the set of similarity transformation matrixes and gives the solving process of simislarity transformation matrix.
本文运用初等变换与初等矩阵的关系和矩阵系数多项式的理论阐明了相似变换矩阵集合的结构和由两个相似的矩阵求出其相似变换矩阵的方法。
In this paper, the concepts of the least common multiple of polynomial matrices and the prime polynomial matrix are introduced, and some algebraic properties of the greatest common divisor and of the least common multiple of polynomial matrices are given.
讨论了多项式矩阵最大公因子与最小公倍的有关性质,同时给出了多项式矩阵的分解定理。
Based on the theory of polynomial matrix,it is implied that the right coprime of polynomialmatrices of the autoregressive part and moving-average part is only the necessary condition,not the suf-ficient condition to ensure that the model is the normalized form.
本文从多项式矩阵理论入手，指出多维时序模型的自回归部分多项式矩阵与滑动平均部分的多项式矩阵右互质，只是保证模型为典则型的必要条件，而不是充分条件，因此，为了获得多变量时序模型的典则型，必须限制模型的部分参数表达形式，因此提出了一种形式简单的多变量时序模型的典则型，并给出了实现的具体算法，还证明了该典则型自回归与滑动平均部分的多项式矩阵是右互质的。
On square-rooting matrices of a kind of matrix polynomial
一类矩阵多项式的平方根矩阵问题
The frequency criteria for Schur stability of matrix polynomials without expanding the determinants of the matrix polynomials has been proposed.
提出矩阵多项式Schur稳定的频域判据 ,可避免矩阵多项式的行列式展开 ,使多输入多输出离散时滞系统稳定性检验得以简
Based on this,some identities of the rank of a class of matrix polynomials were obtained.
给出了矩阵秩的Frobenius不等式取等号的一个充分条件,在此基础上获得了一类矩阵多项式秩的恒等式。
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。
An Efficient Algorithm for Computing Minimal Polynomials of Polynomial Matrices;
多项式矩阵最小多项式的一种有效算法
RESULTS AND PROBLEMS FOR PRIME FACTORIZATIONS MULTIVARIATE POLYNOMIAL MATRICES
多变量多项式矩阵素分解的结果和问题
The Dynamic Compensator Design for Linear Systems Based on Polynomial Matrix Description;
多项式矩阵描述线性系统动态补偿器设计
A Conclusion and Application of the Ranks of Coprime Polynomial Matrices;
互素多项式矩阵的秩的一个简单结论及其应用
The Reduction about Polynomial Bezout Matrix and the Inverse of Vandermonde Matrix;
多项式Bezout矩阵的约化与Vandermonde矩阵的逆
Elementary Divisor of Characteristic Matrix of Matrix polynomial;
矩阵多项式的特征矩阵的初等因子组
Research on Properties of Polynomial Bezoutian Matrix and Toeplitz-Bezout Matrix
多项式Bezout矩阵和Toeplitz-Bezout矩阵性质的研究
Partial Ordering of Generalized Inverse and the Solution of the Equation of Matrix Polynomial Function;
矩阵广义逆偏序与矩阵多项式函数方程解
THE MULTINOMIAL EXPRESSION OF A CLASS OF SYMMETRICAL MATRIX CHARACTERISTIC EQUATION
一类对称矩阵特征方程的多项式表示
Hoehere Algebra: die Matrixtheorie und die Polynomtheorie.
高等代数：矩阵理论和多项式理论。
On the Polynomial Representation of (0,l)-Matrix Class
论(0,1)-矩阵类的多项式表示
BTTB Preconditioner for Block Toeplitz Systems Based on Trigonometric Polynomial Approximation;
基于三角多项式近似的BTTB预处理矩阵
The Matrix Description of Polynomial Sturm Theorem;
关于多项式Sturm定理的矩阵描述
Polynomial Maps with Additive-nilpotent Jacobian Matrix
带有可加幂零Jacobi矩阵的多项式映射
DIFFERENCE SUBSTITUTION MATRICES AND DECISION ON NONNEGATIVITY OF POLYNOMIALS
差分代换矩阵与多项式的非负性判定
About Multinomial Companion Matrix and Diaqonalization Question
关于多项式的友矩阵及其对角化问题
Applying Matrix Elementary Transformation for Inverse of Matrix Polynomial
初等变换在矩阵多项式求逆中的应用
Die Polynommatrix: die Division und die faktorenanalyse des Polynom mit einem Unbekannt, Polynommatrix.
多项式理论：一元多项式的除法及因式分解、项式矩阵。
