minimal polynomial
英 [ˈmɪnɪməl ˌpɒli'nəʊmiəl]
美 [ˈmɪnɪməl ˌpɑli'noʊmiəl]
最小多项式
双语例句
- On the Approaches to Minimal Polynomial of a Matrix
矩阵最小多项式求法探讨 - The Minimal Polynomial of Matrix over the Generalized Quaternion Field
广义四元数体上矩阵的最小多项式 - The Characteristic Polynomial and the Minimal Polynomial of Circulant Matrix on F-q
有限域Fq上轮换矩阵的特征多项式与极小多项式 - A Method of Finding the Minimal Polynomial of Matrix
求矩阵最小多项式的一种方法及其应用 - 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。 - And the vector sequence's linear complexity, minimal polynomial, period and self-correlation function are derived.
求出了向量序列的线性复杂度、极小多项式、周期和自相关函数。 - In this paper, the theories of rational subspace and minimal polynomial basis ( MPB) are introduced. These theories can not only explain subspace method of SIMO systems but also offer an important support to the blind identification and blind equalization of MIMO systems.
本文中引入了有理子空间的理论尤其是最小多项式基的概念和性质，不仅能很好地解释SIMO系统的子空间算法，而且为MIMO系统盲辨识和盲均衡提供重要的理论依据。 - Hence an algorithm for the minimal polynomial of a block circulant matrix over the field is presented.
bner基，从而给出了求块循环矩阵的极小多项式的算法。 - The concept is introduced of the annihilating polynomial and minimal polynomial of vector with linear transform, their property discussed.
介绍了线性变换作用向量的化零多项式与最小多项式的概念，并讨论了它们的性质。 - Constructive algebraic geometry methods were used to discuss multivariate interpolation problems for which the interpolation nodes are taken from one algebraic manifold and the related theories and algorithms for constructing minimal degree interpolation basis were presented. An estimation for the degree of interpolation polynomial was also presented.
运用构造性代数几何方法，研究插值节点取在一个代数流形上时的多元多项式插值问题，提出构造极小次数插值基的相关理论和算法，并给出了极小次数插值多项式的次数估计。 - The Minimal Polynomial and Matrix Opposite Angle
最小多项式与矩阵的对角化 - This paper presents a solution to the problem of the shortest linear recurrence of two sequences over an integral domain and describes the recurrence of the minimal polynomial.
本文解决了整环上两条序列的最短线性递归问题，并给出了递归极小多项式的方法。 - Algorithms for the minimal polynomial and the inverse of a given block circulant matrix over a group algebra of a finite group over a field are presented, and a method of determining singularity of this block circulant matrix is given.
·给出了求域上有限群的群代数上的块循环矩阵的极小多项式的算法，西安电子科技大学博士学位论文：多项式代数及其应用奇异性判别法及其逆矩阵的求法。 - The Minimal Polynomial of Vector with Linear Transform
线性变换作用向量与子空间的最小多项式 - It simply introduces the minimal residual polynomial method for symmetric problem and comes up with the basic algorithm.
先简单介绍用极小残量法解决对称问题的基本算法。 - Solving process of minimal polynomial of the matrix equation
矩阵方程的最小多项式解法 - Jordan Canonical Form and the Minimal polynomial of Matrix
Jordan标准形与矩阵最小多项式 - A Method for Calculating Basic Solution Matrix of Linear Simultaneous Equations by Using Minimal Polynomial
用最小多项式求线性微分方程组的基解矩阵 - The decimation attack is also studied if the minimal polynomial of original sequence is a reducible polynomial. The selecting method and condition of the decimation distance d which can reduce the linear complexity is given.
研究了被采序列的极小多项式是可约多项式的采样攻击问题，给出了能使其采出序列的线性复杂性减少的采样距的选择方法和选取条件。 - By utilizing the theory about the rational subspaces and the minimal polynomial basis and then estimating the instantaneous correlation matrix, this technique can identify the channel coefficients and accomplish the blind equalization. Computer simulations can prove its effectiveness.
利用有理子空间及最小多项式基理论，通过估计瞬时相关矩阵，辨识出信道因数，完成系统盲均衡。 - These new minimal surfaces not only enrich the category of minimal surfaces, but also can be integrated into the current CAD systems directly. Finally, we propose three conjectures about the existence and properties of parametric polynomial minimal surfaces of arbitrary degree.
这些新的极小曲面不仅丰富了极小曲面的种类，而且可直接为当前的CAD系统所采用；最后，提出了关于任意次参数多项式极小曲面的存在性及其性质的三个猜想。 - Computing the characteristic polynomial or the minimal polynomial of a polyno-mial matrix is a basic problem in computer algebra, but it lacks of effective algorithms.
计算多项式矩阵的特征多项式或最小多项式是计算机数学领域中一个基本问题，尚缺乏有效的算法。