By researching nilpotent matrix rank, a solution is obtained for general matrix power rank.
通过对幂零矩阵的秩的研究，给出了一般方阵幂的秩的求法。
This paper discusses a method of selecting the boundary tree in edge finite element method, proposes the matrix rank method and introduces its applications.
介绍了棱边有限元法中选取边界树的原理和方法，提出了矩阵求秩法计算边界树，并结合实例说明其有效性．。
A modified ULV updating algorithm. is applied to performing noise subspace tracking. The algorithm does not require rank estimation of the correlation matrix, and estimate directly the noise subspace.
使用一种修改的ULV更新算法进行噪声子空间跟踪，该算法不需要相关矩阵的秩估计，直接估计噪声子空间。
In camera calibration with line correspondences, it is important to determine the rank of the coefficient matrix of the equation system in a quick and efficient way.
探讨在利用对应直线进行摄像机外部参数校正的过程中，如何快速简便地确定齐次方程组系数矩阵秩的问题。
A formula based on the interpolation for the rank of the element stiffness matrix is presented, and some reduced integration elements are examined.
得到了根据插值函数来计算刚度矩阵秩的计算公式，并对几种降阶积分单元进行了验算。
The article discusses rank of a matrix by the solution theorem of system of homogeneous linear equations, and proves several famous inequalities and two propositions on rank of a matrix.
利用齐次线性方程组解的理论讨论矩阵的秩，给出几个关于矩阵秩的著名不等式的证明，并证明了两个命题。
We've studied that the wide-sense elementary transformation of a matrix, and illustrated its application in determinant calculation, matrix inversion and the rank of a matrix.
我们试对矩阵的广义初等变换作简要阐述并举例说明其在行列式求值、矩阵求逆及矩阵秩的有关证明等方面的应用。
Calculate rank of matrix: This is a basic requirement for numerical processing is usually used.
计算矩阵的秩：这是数值处理的一个基本要求，经常要用到。
Rank is one of the important numerical value characteristics in matrix.
秩是矩阵的重要数值特征之一。
This paper discusses the way about how to get the reflexive general inverse matrix of a full rank matrix A, and generalize this way, gives the general way for not full rank matrix.
讨论了当矩阵A为满秩矩阵时求其广义逆的一种方法，并将此方法推广，给出当A为非满秩矩阵时求其广义逆的一般方法，同时给出算例。
This algorithm utilizes time-average channel correlation matrix in place of exact channel correlation matrix and approximates the MMSE estimator by a low-rank structure.
该算法利用信道的时间平均相关取代统计相关，结合了基于特征值分解的低秩建模，从而近似地实现MMSE估计。
The accuracy of the product activity cost will certainly decrease in the combination after which the amount of the final cost drivers is smaller than the rank of the coefficient matrix.
导致最终成本动因个数小于系数矩阵秩的合并必然损失产品作业成本的精确性。
This paper describes the relationship between the rank of matrix, the rank of vector group and liner equation group in the linear algebra.
讨论了线性代数中矩阵的秩、向量组的秩与线性方程组的秩之间的关系。
The judging methods of the vectors group related dependence from determinant values, rank of matrix, solution of system of linear equations etc were studied.
将行列式的值、矩阵的秩、齐次线性方程组的解等知识运用于向量组线性相关性判定，归纳出六种判定向量组线性相关性的方法。
By introducing theories of matrix, this paper presents a calculation method for the rank of the quadratic form in quadratic sum resolution.
引用矩阵的有关理论，给出了平方和分解式中二次型秩数的计算方法。
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。
And all of these approaches are derived from the full rank decomposition technique for the incidence matrix.
这些方法都是基于网关联矩阵的满秩分解。
In addition, for the minimal rank solution set, the expression of the optimal approximation solution to a given matrix is derived.
另外，给出了中心对称最小秩解集合中与给定矩阵的最佳逼近解。
Full rank decomposition of matrix and triangular decomposition of strongly full rank can well be realized by elementary transformation method of matrix.
通过矩阵的初等变换可实现矩阵的满秩分解和强满秩矩阵的三角分解。
Then, navigation system observability and observable degree with different quantitative line-of-sight measurements are analyzed in detail by rank analysis of the error variance inverse matrix.
然后，通过对误差方差阵逆矩阵秩的分析，比较详尽地分析了不同数量视线观测条件下导航算法的可观度和可观性。
It is proposed a new blind separation algorithm of ill-condition mixed sources. Observed signals are pre-processed through eliminating redundancy signals so that mixed matrix A is row full rank.
提出了一种新的病态混叠盲源分离算法。算法首先对观察信号进行预处理，把多余的观察信号剔除，使预处理后的混叠矩阵A是行满秩的；
When a new group of elements are added, the theorem of rank preservation is obtained and proved under judgement matrix of old elements being inconsistent.
得出并证明了原有元素的判断矩阵为不一致时，新元素组导入的保序性定理。
In this paper we define a class of biased linear estimators for the parameter matrix in the multivariate linear model with deficient rank and discuss some important properties.
本文对降秩多元线性模型的参数阵提出了一类有偏线性估计，讨论了许多重要的性质，从而把降秩模型中参数阵的估计问题转化为满秩模型中参数阵的估计问题。
The corner detection algorithm, avoidance of the degeneration problem and the fundamental matrix iterative optimization algorithm based on rank-2 constraint were introduced.
给出了角点检测算法、退化问题的避免措施以及基于秩2约束的基础矩阵迭代优化求解的方法。
Damage tends to be concentrated in a few structural members at the early stage, so the stiffness perturbation matrix tend to be in small rank.
在结构损伤的早期阶段，损伤往往集中发生在少数单元，损伤前后总体刚度矩阵差的秩较小。
The relationship between the eigenvalue, eigenvector and the rank of the product of matrices AB and BA is discussed, and the factorization of the singular values of matrix a is obtained.
讨论了矩阵乘积ab与BA的特征值、特征向量及秩等的关系，并得到了矩阵的奇异值分解。
We also derive the sufficient conditions of robust stability by rank-1 decomposition of the matrix under the assumption that uncertainty is matrix polytope structured uncertainty.
假设不确定性为矩阵多胞形结构不确定性，利用矩阵的秩- 1分解，得出系统鲁棒稳定的充分条件。
To determine the rank of regression coefficient matrix in a multivariate linear regression model, a model selection procedure is proposed based on the M-estimation.
为了确定多重线性回归模型中回归系数矩阵的秩，本文提出了一个基于M估计的模型选择程序，且在较弱的条件下建立了回归系数矩阵的秩的估计的强相合性。
It is usually required that the design matrix is column full rank in applying recursive weighted least squares algorithm.
通常在使用递推加权最小二乘算法时，需要设计矩阵列满秩。
It is usually required that the design matrix is column full rank in applying recursive weighted least squares algorithm.
通常在使用递推加权最小二乘算法时，需要设计矩阵列满秩。
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