推导出加权矩阵与开环、最优闭环特征多项式系数之间的解析关系式。
The analytical relation among the weighting matrices and open loop and optimal closed-loop characteristic polynomials is derived.
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。
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.
最后，在分块反对称反循环矩阵性质的基础上，给出了其特征值和特征多项式以及相似对角阵。
Finally, based on these characteristics, the eigenvalues and eigenvalues polynomials and its diagonal matrix were given.
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。
There are two kinds of method to calculate the eigenvalues of a matrix: characteristic polynomial method and QR method.
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。
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.
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。
Based on the pseudo-division algorithm for multivariate matrix polynomials, a new solving process of characteristic series for algebraic polynomial systems is given.
本文在复数域上证明了哈密尔顿-凯莱定理，并给出方阵A的特征多项式的全部矩阵根。
The paper proved the Hamilton-Cayley theorem in complex number space, and indicated the all matrix root of the sign multinomial of matrix A.
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。
The property of companion matrix is studied, and the method of calculating the characteristic polynomial of matrix with similar transformation is explained.
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。
This paper introduces the reduced order theory of characteristic polynomial and its application in the higher order matrix aspects are presented.
从相似矩阵具有相同的特征多项式出发，逐步改变和减弱命题中相关条件，得到了几个关于矩阵特征多项式的结论。
Based on from the fact that similar matrices have the same polynomial, we change and weaken concerned conditions in the propersition then get conclusions about charactersitc polynomials of matrices.
从相似矩阵具有相同的特征多项式出发，逐步改变和减弱命题中相关条件，得到了几个关于矩阵特征多项式的结论。
Based on from the fact that similar matrices have the same polynomial, we change and weaken concerned conditions in the propersition then get conclusions about charactersitc polynomials of matrices.
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