而特征多项式的系数与有向图的圆族有着密切的关系。
And the coefficients of eigen-polynomial expressions were closely related to the circular sets of a directional graph.
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.
本文提出一种确定特征多项式的全部根是否位于左半平面的迭代法。
In this paper, we present an iterative method for determining whether all roots of characteristic polynomial are on the left half-plane.
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.
当a的行和相等时，A和A的特征多项式之间有一个简单的关系式。
If the row sums of a are all equal, there is a simple relation between the characteristic polynomials of a and a.
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.
该算法不需要计算控制系统的特征多项式，因此给实际计算带来方便。
Since this simplified algorithm requires no computation of the characteristic polynomial of the controlled system, it makes the practical calculation convenient.
对计算有限域上切比雪夫多项式的特征多项式算法进行改进以提高算法的执行速度。
A Characteristic polynomial algorithm for computation of Chebyshev polynomial over finite field is modified to achieve faster execution speed.
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.
这些代数条件表示为由椭圆与抛物线，椭圆与双曲线确定的广义特征多项式的根的分布。
The algebraic condition can be represented by the distribution of the roots of the generalized characteristic equation of the ellipse and parabola (hyperbola).
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.
图的匹配多项式与图的特征多项式一样包含了许多图的组合性质，并且在化学中得到了广泛的应用。
Use the information of the matching roots, and the character of the degree sequence and matching polynomials to compute.
本文利用特征多项式方程使得二次曲面交线的平面曲线分支的求解简化成平面与二次曲面求交问题。
The planar components and straight line components of the quadric surfaces intersections are studied precisely by means of matrix algebra in this paper.
本文引入有向图的特征多项式、反图、对称闭包等概念。初步探讨它们与图的某些整体性质的关系。
In this paper, the concept of the characteristic polynomial, the converse graph, the symmetrical closure and others are defined.
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.
本文证明了球面有限点集的伪对称性可以完全由其特征多项式的根来刻画，并得到了在度量加运算下伪对称性具有封闭性。
In this paper, we show that the Pseudo-Symmetric property of spherical point set can be characterized by the eigen values of eigenpolynomial and it has the closeness under the metric sum operation.
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.
推导出由特征多项式的系数表示的线图（无重边图）中圈的个数，双向结点对个数，单向结点对个数及简单图中有向三角形个数的计算公式，等等。
The formulae for the number of loops, edges, triangles, pairs of two-way nodes and pairs of one-way nodes are deduced by the coefficients of a characteristic polynomial, so on.
为了清楚地观察奇异形位的特征，本文还得到了奇异表达式的多项式形式。
To observe the character of singularity loci clearly, a polynomial form of the singularity loci are also derived.
本文讨论了具有一个零特征根的非线性齐次系统的局部拓扑结构，并给出利用系统右端多项式系数的判断准则。
In this paper, we discuss the locally topological structures of nonlinear homogeneous systems with one zero characteristic root, and give a criteria by the right-hand polynomial coefficients.
针对具有复杂运动特征的高速凸轮机构从动件运动规律，提出用分段多项式进行综合和优化的新方法。
The paper presents a new method for synthesizing and optimizing the follower motion with complex characteristics for high-speed CAM mechanism based on the piecewise polynomials.
针对沉降数据序列的特征，研究了多项式回归方法、小波降噪方法、频谱分析法在沉降数据处理中的应用。
Probing to characters of subsidence series, we study on application of polynomial regression, wavelet denoising and frequency analysis on subsidence series processing.
本文介绍一种利用离散正交多项式进行物体表面局部曲面拟合以检测物体的特征的方法。
In this paper a method of using discrete orthogonal polynomials to fitting local surface of object in order to detect characteristics of range images is presented.
内点法是一种求解线性规划问题的多项式时间算法，其显著特征是其迭代次数与系统规模关系不大。
The interior point method is a polynomial time algorithm for solving linear programming problem, and its number of iterations is independent on the size of system.
在深入分析参数多项式方法数学原理的基础上，提出了参数分布形状特征式法。
Based on the deep analysis of the principle of parametric polynomial method, shape eigenfunction method is presented in this paper.
本文采用三次多项式插值和曲线拟合相结合的方法可简单有效地提取出在线掌纹的线特征。
In this dissertation, a line extraction method based on cubic polynomial interpolation and minimum mean square error fitting are proposed, which can effectively extract lines out.
利用正交特征分布多项式，逼近梁的位移函数。
Thus the authors use distributed polynomial with orthogonal characteristic for approximating displacement function of the beam;
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.
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.
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.
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