查询词典 triangular matrix

A parallel split iteration algorithm for MIMD distributivity memory cluster on solving linear coefficient matrices is established in chapter three. Convergence is proved when the coefficient matrix is Hermite positive definite matrix or M-matrix. Discussing convergence range of parameter T . In the end, examples have been implemented on HPrx2600 cluster, and the data verify that the algorithm has favorable astringency and parallelism.

研究了一种适合于MIMD分布式存储并行机的交替方向法，理论上证明了在系数矩阵为Hermite正定矩阵和M-矩阵时算法的收敛性，讨论了参数τ的收敛范围，最后在HPrx2600集群上进行数值试验，结果表明此算法有良好的收敛性与并行性。

Basing on the famous Schur theorem on real quaternion division algebra and the operation of matrix, some properties and judging criterions of skew self-conjugate matrix are obtained. Several theorems about characteristic value, similar decomposition and real expression of skew self- conjugate matrix are gained.

借助四元数体上的Schur三角分解定理和体上矩阵的运算，得到了斜自共轭矩阵的一些性质及判定准则，获得了斜自共轭矩阵的实表示、相似分解以及特征值的几个定理。

In this paper, started with the most elementary probability formula of Fisher matrix for time delay estimation, some properties of the Fisher matrix for time delay, Doppler shift and its hither derivatives joint estimation are exploited by use of Toeplitz matrix chracteristics in passive location systems.

本文从时延估计的Fisher矩阵的最基本概率表达式入手，利用Toerlitz矩阵性质，对无源定位中时延、多普勒及其更高阶导数联合估计的Fisher矩阵的性质进行分析。

In this paper,a definition of basic elementary matrix is given and the conclusion is drawn that any matrix can be resolved into limited basic primary matrix product.

给出基本初等矩阵的定义，得出任何方阵都可分解为有限个基本初等矩阵的乘积的结论。

In this paper, a practical solving method and an expression of general solution of a matrix equation AXB=CYD are given by using matrix techniques and elementary operation s on matrix.

应用矩阵的初等变换技巧，给出了任意域上矩阵方程AXB =CYD的通用表达式及解法。

The brief proof is given for " row elementary operation s keep the linear relationship of column vectors of matrix",by using multiplication of partitioned matrix and the relation between elementary matrix and elementary operation.

利用初等矩阵与初等变换的对应关系及分块矩阵的乘法，给出矩阵的行初等变换不改变其列向量组的线性关系的一个简易证明。

How to judge whether judgement matrix has weak consistency or not is proposed, and the theory and algorithm to find equivalent consistency matrix of weak consistency judgement matrix is designed.

从寻求灰色判断矩阵的所有一致性白化阵、灰元的最小灰域的角度出发，去给出灰色判断矩阵的弱一致性和一致性定义，证明了一致性灰阵中所含信息均为一致性信息，并给出了判定矩阵是否具有弱一致性和寻求弱一致性判断矩阵的等价一致性矩阵的定理和算法。

Strong matrix organization strong matrix organization is the other extreme form of matrix organization .

强矩阵组织强矩阵组织形式是矩阵组织形式的另一个极端。

By combining the interval mathematics and the finite element analysis, the mass matrix, damping matrix, stiffness matrix and the external loads are represented as interval matrices and vector.

通过结合区间数学和有限元分析，结构质量矩阵、阻尼矩阵、刚度矩阵和外载荷列向量采用区间矩阵和区间向量来描述。

For some shortcomings of unknown quantity numbers in finite element method, QR-method establishes a transformed relationship between a unit node displacement vector and the entire framework of spline node displacement vector,making the structure of the total stiffness matrix, damping matrix, mass matrix directly superimposed in no need of finite element method in the first expansion after the superposition process. So the method greatly simplifies the calculation process and improves computing speed.

针对有限单元法中未知量数目很多的缺点，QR法建立起单元结点位移向量与整个框架样条结点位移向量的转化关系，使得结构总刚度矩阵、阻尼矩阵、质量矩阵可以直接叠加，不需要有限单元法中先扩张后叠加的手续，大大简化了计算过程，提高计算速度。

Pachomius manual labour was organized as an essential part of the monastic life; and since it is a principle of the monks as distinguished from the mendicants, that the body shall be self-supporting, external work of one sort or another has been an inevitable part of the life ever since.

根据圣pachomius体力劳动组织作为一个重要组成部分寺院生活；以来，这是一个原则的和尚，作为有别于乞丐，该机构应自支撑，对外工作的这种或那种已一个必然的一部分，生活至今。

In order to study the effects of parametrical rolling on the ship movement and tilts, in allusion to ship's navigating in regular following waves, the equation of ship rolling motion is transformed into normal Mathieu equation by proper variable replacement when strong parametrical excitation in restoring moment varied according to sine or cosine wave.

为研究参数横摇对船舶运动和倾覆的影响，通过对船在规则波上随浪航行时，恢复力矩中出现的1个以正余弦规律变化的强参数激励项进行适当的变量置换，将船舶的横摇运动方程转换成标准形式的Mathieu方程。