查询词典 matrix

The program is the main description of the matrix operations, including the basic matrix operations, matrix inverse, matrix singular value decomposition, and the characteristic value and characteristic vector solution and so on.

详细说明：该程序是主要描述的是矩阵运算，包括矩阵的基本运算，矩阵的求逆，矩阵的奇异值分解，以及特征值以及特征向量的求解等等。

When scaled factor circulant matrices are nonsingular, we can find the single solution of the scaled factor circulant matrix equation; When scaled factor circulant matrices are singular, we can find the special as well as the general solution of the scaled factor circulant matrix equation; There is only an error of approximation when the fast algorithm is implemented on computers, and only the elements in the first row of the scaled factor circulant matrix and the constants in the diagonal matrix are needed by the fast algorithm.

当鳞状因子循环矩阵非奇异时，该快速算法求出线性方程组的唯一解；当鳞状因子循环矩阵奇异时，该快速算法求出线性方程组的特解与通解。该快速算法仅用到鳞状因子循环矩阵的第一行元素及对角矩阵中的对角上的常数进行计算。在计算机上实现时只有舍入误差。

Finite element method is used to build up element stiffness matrix and element mass matrix. After the combined total stiffness matrix and the total mass matrix are obtained.

采用有限元法建立不同管道元件的单元刚度矩阵和单元质量矩阵，最终形成管道结构的总刚度矩阵和总质量矩阵。

This dissertation puts forward a structuring method of some complicated problems as well as methods of combination of the judgment matrix on group decision basis demonstrates that these two ways strengthen the consistency of the judgment matrix. Besides, it makes some researches into theory of combination of judgment matrix on the group decision basis, suggests two methods of calculating the coefficient of the convex combination and puts forward a method to construct individual and comprehensive judgment matrix based on rough-set by cooperating with others accordingly.

5给出了群决策条件下复杂问题结构化方法；提出了群决策条件下群体AHP判断矩阵集结的两种方法，证明了这两种集结方法保持或改善了判断矩阵的一致性；研究了群决策条件下判断矩阵优化集结原理，给出了判断矩阵两种凸组合系数优化计算方法；合作提出了一个基于Rough Set的个体判断矩阵和综合判断矩阵构造方法。

A way of TOPSIS for multiple target decision is applied to space with matrix elements,and we can make comprehensive evaluation of information system according to the relative distance between evaluation index matrix and best solution matrix and worst solution matrix.

再将多目标决策中的逼近理想解法应用到以矩阵为元素的空间中，按照与理想解和负理想解的相对接近度去对信息系统作出综合评价。

TOPSIS for multiple target decision is applied to space with matrix elements, and we can make comprehensive evaluation of enterprise economic benefit according to the relative distance between evaluation index matrix,best solution matrix and worst solution matrix.

将多目标决策中的逼近理想解法应用到以矩阵为元素的空间中，按照评价点与理想解和负理想解的相对接近度对企业经济效益作出综合评价。

For example: Causes the diagonal matrix aspect using the matrix similarity the operation simplification, as well as using the matrix similarity determined transports in the mathematics problem in the matrix unknown element and so on.

利用矩阵的相似性使得对角矩阵方面的运算更简单化，以及利用矩阵的相似性来确定运算题中的矩阵中的未知元素等。

The second part is the judge method and its improvement method of a matrix is a diagonally dominant matrix: Introduces some basic methods to judge a matrix be a diagonally dominant matrix .Gives some improvement methods, and some number examples.

第二部分为广义严格对角占优矩阵的判定方法及其改进：介绍判定广义严格对角占优矩阵的一些基本方法，给出一些广义严格对角占优矩阵判定方法的改进，并给出数值例子。

The third part is the judge method and its improvement method of a piece matrix is a diagonally dominant matrix: By using the Schur repair property of matrices, gives the sufficient and necessary conditions to judge a piece matrix be a diagonally dominant matrix.

第三部分为分块广义严格对角占优矩阵的判定方法及其改进：利用矩阵Schur补的性质，给出判定分块广义严格对角占优矩阵的充要条件，并利用逐次降阶的方法，使一个任意阶矩阵A逐次降为只需要利用定义判定一个矩阵是否满足要求，从而判定A是否是广义严格对角占优矩阵。

By using the tensor product of matrix, stride permutation matrix and matrix power series under the meaning of matrix direct sum, the parallel algorithm, including the scrambling algorithm, can be expressed integrally. This description provides a convenient tool for the study and application of parallel FFT algorithm.

本文提出了矩阵直和意义下幂级数的矩阵运算，同时利用迭代形式的矩阵方程将混合基FFT的并行算法及其数码倒置算法完整地表示出来，为并行FFT算法的研究和应用提供了方便的表示手段。

The circulation, consumption and reproduction of the trilogy have not only testified to its historical significance and literariness, but also invested it with new meanings.

该三部曲的流通、消费与再生产不仅验证了其历史意义及文学性，而切还赋予它以新的意义。

If he thought that he could buy me off, he would be wrong.

如果他认为他可以收买我，那他就大错特错了。