我们讨论了次正定矩阵的判别法，给出了次正定矩阵的行列式的一个不等式。
The necessary and sufficient conditions of metapositive definite matrices are discussed and an inequality for the determinants of metapositive definiter matrices is given.
假设信号是近似正态分布的，就可以从相关矩阵的行列式计算出每个波段的条件信息量。
If signals are supposed to be normally distributed, then by computing determinants of correlation matrices, conditional information of each channel signal can be obtained.
作者将矩阵分块法应用到高阶行列式的计算中，并给出了几个计算公式、算条件及方法和技巧。
We put block matrix method in the calculation of Higher-order determinant in this article and give some calculating formulas, methods of calculation, condition of calculation and skills.
针对这一问题，比较了几种常见的反馈环计算方法，得出在时间复杂度上矩阵算法优于行列式算法。
Compared with some normal methods of searching feedback loops, the author obtained that the matrix algorithm was superior to the determinant algorithm in terms of time complexity.
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。
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.
由结构刚度矩阵行列式值为零的失稳条件导出结构失稳特征方程，从而精确地确定系统临界力值。
The precise critical force of a system can be deduced from the fact that the determinant of stiffness matrix of the system is equal to zero in the critical condition.
基于矩阵体积的概念，引入矩阵向量正交度，对病态问题的行列式诊断方法进行了推广和扩展。
Based on the conception of the matrix volume, we presented the definition of the orthogonal degree of the matrices, generalized and extended the determinant method mentioned above.
这种分析方法在数值求解时只需计算低价次的传递矩阵和行列式值，因而可在PC机上进行。
This analysis method with numerical calculating only requires calculation of lower-order transfer matrix, so that, it can be made with microcomputer such as IBM-PC.
通过该方法，只需要进行阶次很低的矩阵和行列式计算即可完成平面连杆机构的振动分析。
Applying this method, we can only require the lower order's calculation of matrix and determinant to make the analysis of vibration for the plane link mechanism.
研究对角占优矩阵原位替换解算方法，包括矩阵行列式、矩阵方程未知数和矩阵逆阵的解算。
The calculation methods of diagonally dominant matrix in-situ replacement are researched, including the matrix determinant, the matrix equation unknown and the matrix inversion computation.
研究机器人处于非奇异位姿即逆雅可比矩阵行列式不接近零时，位姿变化对机器人精度的影响。
The effects of posture changes on the accuracy of robot have been studied when the robot is in non-singular posture, namely the determinant of inverse Jacobi matrix is not close to zero.
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。
The judging methods of the vectors group related dependence from determinant values, rank of matrix, solution of system of linear equations etc were studied.
然后讨论了推广的循环矩阵，即准循环矩阵和广义循环矩阵，利用类似方法，也给出了它们的求逆阵和求行列式的方法。
The generalization of a theorem for circular matrix is given by using generalized Vandermonde matrix, and several properties of generalized circular matrix are obtained.
本文讨论了一般正定复矩阵的两个性质，给出了正定复矩阵特征值的界，并给出了正定复矩阵行列式的模满足的一个不等式。
In this paper, some inequalities about singular values of normal matrices are established by the properties of compound matrix and the relation between eigenvalue and singular value of matrix.
本文讨论了一般正定复矩阵的两个性质，给出了正定复矩阵特征值的界，并给出了正定复矩阵行列式的模满足的一个不等式。
In this paper, some inequalities about singular values of normal matrices are established by the properties of compound matrix and the relation between eigenvalue and singular value of matrix.
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