对角占优矩阵

Some necesarry and sufficient coditions for generalized diagonal dominance for matrices are discussed by using the determinant and the closed convex cone generated by matrices column vectors. This paper, thus provides some new methoods for determining the generalized diagonal dominance in matrices.

利用矩阵的列向量所生成的闭凸锥及矩阵的行列式来讨论其行广义对角占优的若干充要条件，为判别矩阵是否为广义对角占优提供若干新方法。

Based on hexahedra vector finite element in ANSYS,a new orthogonal-reinforced hexahedra vector element is created by modifying vector basis functions.Due to orthogonality of sampling nodes and orthogonality of integral simultaneously,the new vector element can strengthen diagonal elements' predominance and quicken speed of solving system question group.

在ANSYS采用的六面体矢量单元的基础上，对矢量基函数作了一些增强正交性的修改，使其同时具备采样点正交性和积分正交性，得到了一种新的正交增强六面体矢量单元；这种新单元能增强系统矩阵的对角占优特性，加快系统方程组的求解速度。

A design method for pre-compensator in frequency domain of aeroengine multivariable control system based on diagonal dominance and the method of linear matrix inequalities is presented.

摘要提出了以对角占优为基础，结合线性矩阵不等式进行航空发动机多变量控制系统频域预补偿器的设计。

The research for diagonally dominant matrix is the important task of matrix theory.

矩阵的对角占优性质的研究是矩阵理论中的重要课题之一。

The first part is basic concept and axioms: Gives the definition and the basic theorem of diagonally dominant matrix, M-matrix, H-matrix which involve in this paper.

第一部分为基本概念和定理：给出本文所涉及的对角占优矩、M-矩阵、H-矩阵的基本概念和定理。

Moreover, when the normalized damping matrix is diagonally dominant, it is strictly shown that decoupling the modal equations by neglecting the off-diagonal elements indeed minimizes the error upper bound.

同时，还严格地证明了，当正则化的模态阻尼矩阵是对角占优时，由忽略其非对角线元素使模态方程解耦的方法所引起的误差的上限的确能达到最小。

In this paper, we give the upper bounds for inverse elements of strictly diagonally dominant periodic tridiagonal matrices.

本文给出了严格对角占优的周期三角矩阵逆元素的上界估计。

In chapter one, firstly, we introduced several kinds of diagonally dominant matrices definition and their connection. Secondly, the relationship between those kinds of matrices and the convergence of some basic iteration methods (such as Jacobi, Seidel and SOR iteration methods) are also mentioned.

第一章，我们先简介了几类对角占优阵的定义及它们之间的关系，并介绍了一些基本迭代法(指Jacobi，Seidel及SOR迭代法等)的收敛性与这些矩阵类的关系。

In chapter 1, based on the technology of block matrices and the properties of block diagonal dominances, new results are obtained for the lower bounds of the smallest singular value.

第一章主要通过矩阵的分块和块对角占优性来讨论了最小奇异值的下界。

It has been put forward that there exists single Ball point and double Ball points on the symmetrical connecting-rod curves of equilateral mechanisms.

从鲍尔点的形成原理出发，分析对称连杆曲线上鲍尔点的产生条件，提出等边机构的对称连杆曲线上有单鲍尔点和双鲍尔点。

The factory affiliated to the Group primarily manufactures multiple-purpose pincers, baking kits, knives, scissors, kitchenware, gardening tools and beauty care kits as well as other hardware tools, the annual production value of which reaches US$ 30 million dollars.

集团所属工厂主要生产多用钳、烤具、刀具、剪刀、厨具、花园工具、美容套等五金产品，年生产总值3000万美元，产品价廉物美、选料上乘、质量保证，深受国内外客户的青睐