系数矩阵

Thirdly,in virtue of Markov theory,we get the herd coefficient matrix from Markov change probability matrix and construct the CA-Markov composite Model and get some characteristics of the CA-Markov composite Model Finally,we do simulations and sort for Xinjian County by using the Markov Model and the CA-Markov composite Model, respectively and analyze and compare the simulation results abortively.

然后，借鉴马尔科夫理论，采用转移概率矩阵估计从众系数矩阵，构建出CA-Markov复合模型，并研究了相关的性质。

Secondly, we discuss the boundary value problem of two dimensional biharmonic equation in a rectangular field and its variational problem,discretize it by using dual tensor product of and the direct product and lining up of matrices, we get some special matrices which are the presupposition in exploring the fast computation, then solve the system of linear equations.

其次本文讨论了矩形域上二维双调和方程边值问题及其相应的变分问题，利用二元张量积小波分析和矩阵的直积、拉直技巧将变分问题离散化，从而使求解偏微分方程问题变为求解线性方程组的问题。一维情况两组基的张量积下得到的系数矩阵分别为块状七对角阵和稀疏矩阵。这些特殊结构为以后快速算法的研究打下一个基础。

These problems include the selfadjointness of the coefficient matrix operator, the functional of the matrix operator equation, the equivalence between variational problem and boundary value problem of eddy-current fields, and the extreme value principle of the functional.

本文首先从求解时谐涡流场的〓-ψ法与〓-Ω法的矩阵算子方程出发，提出了时谐涡流场的统一矩阵算子方程，进而系统地讨论了该方程的系数矩阵算子的自伴性、矩阵算子方程的泛函、涡流场边值问题与对应变分问题的等价性以及泛函的极值原理。

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。

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。

Based on the analysis of this matrix, the constraints for the coefficient matrix were got.

通过对该系数矩阵的分析，得到关於此矩阵的约束条件，并在此基础上，推导了判断此矩阵秩的大小的一个充分条件。

Furthermore, the sufficient conditions for convergence were given when the coefficient matrix A is a Hermite positive definite matrix or Mmatrix respectively.

给出了系数矩阵分别为Hermite正定矩阵和协矩阵时算法收敛的充分条件。

As a kind of high-rise structure , tower building is sensitive to wind load; TMD can increase the security and reliability of structure observably with simple mechanism; in power spectrum analysis matrix formula, coefficient matrix can be extended for MTMD optimize analysis, complementarity with time domain method.

标志塔属典型高耸结构，对风荷载作用敏感；TMD机械构造简单，可以显著提高结构安全性和可靠性；谱分析矩阵表达中，将系数矩阵、增广矩阵进一步扩充，可同时进行多TMD参数优化，效率较高，与时程分析互为补充验证。

The condition for the solvability of the controllers is expressed by using the coefficient matrices of the whole system.

控制器的可解性条件由系统的系数矩阵表达，因此不需要矩阵分解，可避免由矩阵分解产生的数值问题。

When the coefficient matrice is index p cycle matrice (p = 3,4,5),we educe the relation between preconditionging Jacobi 、 GS iterative matrices" and classical Jacobi iterative matrices" eigenvalue; As an application, make some preconditioning iterative factors, when classical Jacobi iterative converge, the preconditioning iterative methods may converge faster.

2系数矩阵是指数p=3，4，5循环矩阵时，分别给出了预条件Jacobi、Gauss-Seidel迭代矩阵与传统块Jacobi迭代矩阵二者特征值之间的关系，作为一个应用，通过预条件因子的特殊取值，使传统Jacobi迭代收敛时，预条件块迭代法的收敛速度成倍提高。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。