查询词典 triangular matrix

You should know what the inverse of a matrix is and how to compute it for any matrix. You should know how to transpose a matrix.

你应该知道一个矩阵的逆以及如何计算，你应该知道如何转置一个矩阵。

By using the matrix positive definite decomposition, matrix singular value decomposition generalized inverse theorem, and solving the linear matrix inequality, an explicit expression of the desired observer is derived in the light of some free parameters.

通过利用矩阵正定分解，矩阵的奇异值分解，解线性矩阵不等式和广义逆定理，根据一些自由参数所希望设计的观测器然后被导出。

A structure of space-time diversity virtual double-route weighting interference mitigating is proposed, and the corresponding practical algorithm is derived in detail using block matrix inversion formula and matrix inversion theory for mitigating interference signals from both other cells and other users of local cell in the DS-CDMA up-link communication case. Performances of such algorithm are thoroughly analyzed through simulation and analytical results. The up-link and down-link channel characters and their relationship of DS-CDMA communication system are thoroughly analyzed, and the relationship of space-time diversity weighting matrix between time division duplexing and frequency division duplexing these two different transmission ways is derived.

本论文深入地比较了DS-CDMA通信系统的上传情形与下传情形的信道特性及其它们相互之间的关系；深入地分析并得到了时分双工和频分双工两种不同的传输模式下的上传情形与下传情形的空时分集权系数矩阵之间的数量关系，从而使得能够利用在基站端所拥有的上传情形的空时分集接收权系数矩阵信息以及其他信息在基站端直接形成空时分集发射权系数矩阵；推导了下传情形移动用户接收机端的最优组合接收策略及其算法；进一步地，对时分双工传输模式下的下传情形的通信系统性能和频分双工传输模式下的下传情形的通信系统性能进行了深入的比较仿真研究。

The authors study the property of the active power/angle sub-matrix in power flow Jacobian matrix and the sufficient condition for the invertibility of the sub-matrix as well as the necessary condition for singularity are given.

探讨了潮流雅可比矩阵中有功/相角子矩阵的性质，给出了该矩阵可逆的充分条件及其奇异的必要条件。

In this document we mainly research special matrix's decomposition, and also through the study of the theory of real reversible matrix decomposition, analysis and summarize one kind of analysis method's compact computation form of the solid invertible matrix.

本文主要研究了特殊矩阵正定矩阵的分解理论，通过对实可逆矩阵的分解理论的研究，分析总结出实可逆矩阵的一种分解方法的紧凑计算格式。

Through matrix transformation of similitude,the characteristic values and vectors of coefficient matrix M,and invertible matrix P could be cacutated.

经矩阵相似变换，求得系数矩阵M的特征值、特征向量和可逆矩阵P。

This paper discusses and researches some special matrix, and mainly does following several aspects.First, The special products of some matrices, as Fan product, Kronecker product and Hadamard product, are discussed. Some little results such as the Kronecker product of normal matrix is still normal matrix are obtained.

本文对若干特殊矩阵进行了探讨和研究，主要作了以下几方面的工作：第一，本文对一些特殊矩阵的特殊积，如Fan积，Kronecker积，Hadamard积等进行了讨论，得出诸如正规矩阵的Kronecker积仍是正规矩阵等一些结果。

Extreme vertices method was employed to design diamond bit matrix formulation experiments in order to systematically study the effect law of matrix composition on matrix mechanical performances.

为了系统研究铁基金刚石钻头胎体配方组成对胎体机械性能的影响规律，本文采用极端顶点法设计胎体配方试验。

At first, we list some preparation knowledge which is a necessary tool, such as matrix analysis, the theory of orthogonal matrix and project matrix, the least squares estimator.

文章首先列举了一些需要用到的相关预备知识，主要有矩阵分析，正交阵和投影阵，参数估计的最小二乘法等，这些研究线性模型的参数估计问题中必不可少的工具。

In order to reduce calculation error, the frequency distribution of average values is used to compute the mixed distribution's digital features of each component distribution, thereinto, the number of the component distribution is determined by AIC, choose the number that meets the minimum value of AIC as the component number of mixed distribution, and the other parameters are estimated by EM algorithm; Secondly, because each component distribution is corresponding to a kind of major gene genotype, according to the values of the average and variance of the each component distribution, we can use the limit error of the normal distribution to plot each individual into the correspondent component distribution, namely into correspondent major gene genotype. Then we regard each major gene genotype as a treatment level of one-way analysis of variances, and the one-way multivariate analysis of variance is carried out to calculate the covariance matrix of major gene effect, covariance matrix of polygene effect, covariance matrix of environment effect and so on; At last, combining the weights of the each component distribution of mixed distribution, we can calculate the variance of major gene effect, the variance of polygene effect, environmental variance and the genetic gain of the quantitative trait.

为减小计算误差，本研究采用均值的频数分布来计算各成分分布的数字特征，其中成分分布个数根据AIC准则，选择使AIC值达到最小的成分分布个数作为混合分布的成分分布数，分布中其它参数的确定利用EM算法来估计；其次，每个成分分布对应一种主基因基因型，根据各个成分分布的均值和方差，利用正态分布的极限误差将每个个体划分到相应的成分分布中，即相应的主基因基因型中，将每种主基因型作为单因素方差分析的一个处理水平，对其进行单因素的多元方差分析，分别计算主基因效应协方差阵、多基因效应协方差阵、环境协方差阵等参数；最后结合混合分布中各成分分布的权重即各主基因基因型的分离比例，计算主基因效应方差，多基因效应方差和环境方差，以及遗传力等参数，进而计算该数量性状的遗传进展。

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。