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.
本文给出了用低阶矩阵来判定高阶矩阵的广义对称正定的判定定理。
A theorem to determine the generalized positive definiteness of high-order matrices by low-order matrices is given.
最后给出了用标准测试程序及高阶矩阵运算程序对该系统进行的性能评价。
The system evaluation is given by a standard test routine and a high-order matrix computation program.
方法简单，运算过程规律，和其它求逆方法比较还具有精度高的特点，适合于高阶矩阵之逆，更便于上机计算。
This method is easy to be completed on computer, and applicable to solve the inverse of high-order matrices.
高阶矩阵运算和存储量都特别大，为了减少运算和存储量，本文讨论了稀疏矩阵、单位矩阵、对称矩阵的存储方法。
Calculation and storage are trouble for high level matrix. For the sake of these problems, the storage method of the sparse matrix, unit matrix, symmetry matrix are discussed in this paper.
在许多实际计算机科学、数学、工程等问题的计算中，经常遇到一些大型的高阶矩阵的有关计算，尤其是两矩阵相乘最为常见。
In many of domain, such as computer science, mathematics, the project, often meet some large-scale high-order matrix calculations, especially two matrix multiple.
利用传输矩阵法推导了环与环间通过串联耦合和并联耦合两种方式形成的多环高阶谐振滤波器的传输函数公式。
Both the transfer functions of "series-coupled" and "parallel-coupled" multi-ring high order filters are derived using the transfer matrix method.
采用AD I与高阶紧致差分相结合的方法计算大型非对称稀疏矩阵，并实现了该算法在半导体器件模拟中的应用。
In this paper, we apply ADI and high-order compact finite difference method for large-scale asymmetric sparse matrix in semiconductor device simulation.
数值实验结果表明：高阶质量矩阵对横向振动基频及低频的影响可忽略不计，但它们对高阶横向振动频率有很大的影响。
The numerical results indicate that the higher-order mass matrices have a negligible influence on the fundamental frequency, but they affect the frequencies of higher mode vibrations considerably.
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.
本文还提出了一种附加质量法来修正高阶模态的截尾误差而不采用剩余柔度矩阵，从而使本法能简易地获得高精度。
In this paper, the additive mass technique is also proposed for correcting the truncation error of higher order modes without using the residual compliance matrix.
然后引入作用较大的高阶广义节点形函数，扩充广义刚度矩阵，并求解新的整体平衡方程，得到更高精度的数值解。
Then, those useful generalized nodes are selected, and the generalized stiffness matrix is enlarged. A more accurate numerical solution can be obtained after the new equilibrium equations are solved.
本文用低阶模态和系统矩阵表达高阶模态对非比例阻尼结构频响函数的贡献。
In this paper, the contribution of high order mode shape to the frequency response function of disproportional damping structure is expressed by using low order mode shape and system matrix.
为了达到高分辨率而采用高阶相关矩阵，谱估计的运算量十分大。
In order to yield high resolution, the high-order autocorrelation matrix is used, the number of the operations for the estimation of frequency and power is tremendous.
进一步推导了应变和应力以及单元的刚度矩阵等，最后通过具体实例验证了高阶四边形流形单元的计算应力和应变的准确性。
The calculation results, with an example shown, demonstrate that high order rectangular element of manifold method can get more accurate strain and stress.
进一步推导了应变和应力以及单元的刚度矩阵等，最后通过具体实例验证了高阶四边形流形单元的计算应力和应变的准确性。
The calculation results, with an example shown, demonstrate that high order rectangular element of manifold method can get more accurate strain and stress.
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