Followings are the main study in this paper . 1 ) based on building the condition function of orbit determination of satellite - to - satellite tracking , the coefficient matrix of its normal function was studied . and the relativity of satellite ’ s corresponding orbit elements was analyzed in different cases 本文的主要研究工作如下: 1 )在建立星-星跟踪定轨条件方程的基础上,对其法方程的系数矩阵进行研究,分析了在不同情况下,卫星对应的轨道根数的相关性。
General pkm has no analytic positive solutions , which mirrors in the analysis of kinematic and dynamic . jacobian matrix can not be gained ; when solving the problem with the digital algorithm of gauss - elimination , the coefficient matrix of linear equations group is high degree illness 一般并联机构没有解析正解，反映在运动和动力学分析过程中为无法求得雅可比矩阵；当采用高斯消去法的数值解法解雅可比矩阵的方程组或求逆时会发现系数矩阵是高度病态的。
And the average illumination intensity can be figured out through statistic method . here , some kinds of traditional led ' s optical encapsulated structure were simulated using monte carlo method . and experiments were performed using the correspondent led ' s optical encapsulated structure with the same conditions just like what were used in simulation 采用二次曲面系数矩阵a统一描述任意二次曲面，给定系数矩阵a1 , a2 … , an ， （ n为小于10的正整数） ，和描述曲面范围的条件，就描述了一个完整的led光学结构模型供模拟。
L ) the existence of local solutions in the part of the existence of local solutions , we investigate the intial boundary value problems for the more general quasilinear system : we consider the existence of local solutions of the system ( 2 ) when it may be a cross - diffusion system and u g ( g is a open subset of rn ) . in order to use the results of h . amann [ 1 ] on local existence for quasilinear systems ( 2 ) , we find that the results of h . amann on the corresponding linear system were not proved completely . especially for the case of cross - diffusion systems ( 2 ) 1 )局部解存在性在局部解存在性部分，我们研究的为更一般的拟线性耦合方程组的初边值问题：我们研究了在u g ( g是使散度型方程组( 2 )中的系数矩阵a ( x , u )的特征值实部大于零的区域)时散度型方程组( 2 )解的局部解存在性。在我们应用h . amann的局部解存在性理论时，我们发现h . amann的关于散度型方程组( 2 )局部解存在性理论的证明并不完整。
If the proper parameter is chosen , the linear pek method is superior to the linear pe method . ( 2 ) in order to improve the linear pe method and the linear pek method , the quadratic pe method and the quadratic pek method are put forward . then the solvability and the convergence of the two methods are discussed about the hermite positive definite matrix and m - matrix , and the interrelated conclusions are obtained ( 2 )将一次pe方法和一次pe _ k方法改进为二次pe方法和二次pe _ k方法，讨论了当系数矩阵a为hermite正定矩阵和m -矩阵时，二次pe方法和二次pe _ k方法的可解性和收敛性等问题，得到了相关的结论。
First , according to the orthonormal quality and the rational choice of working point of the sonar array three shafts frame , the structure of the models is predigested preliminarily ; secondly , according to the quality indexes and the coupling quality between frames , relatively small quantum is neglected . so the complex non - linear coupling models of the sonar array are predigested farther ; lastly , considering the characteristic of the model coefficient matrix , the methods of the low rank polynomial approach and the error simulation are introduced . so the models are predigested again 首先从声纳基阵框架结构的正交性和工作点的合理选择出发，使模型的结构得以简化；其次根据系统性能指标及框架间耦合性强弱，忽略相对小量，对声纳基阵复杂的非线性耦合模型进一步简化；最后考虑模型系数矩阵的特点，运用低阶多项式逼近和误差仿真的方法，实现了对模型的再次降阶简化处理。
Regard appropriate development of the coal industry as the starting point in the thesis , , in analysis at the f our country coal characteristic and coal industry with the other economic foundation that technology get in touch of industry of industry in an all - round way , set up optimize models of industry of coal based on dynamic input - output analysis , and use the econometrics method to confirm the systematic parameter of this model , had asked the model of solving and analysis , applying theory and method of markov probability model modify and forecasting direct consume coefficient matrix in coal industry , and has probed into in the course of revising the parameter changes the influence caused toward other input - output index 论文中以煤炭产业的适度发展为出发点，在全面分析了我国煤炭产业的特点以及煤炭产业与其他产业的经济技术联系的基础上，建立了煤炭产业多目标动态投入产出优化模型，应用计量经济学方法确定了该模型的系统参数，求解模型并对最优解进行了分析，应用马尔科夫概型修订直接消耗系数矩阵以反映煤炭消耗的变化，并探讨了在修订过程中参数变化对其他投入产出指标所造成的影响。
The characteristics of different parallel algorithms are compared in accordance with the specialty of coefficient matrix of vibration equations of wheel / rail system . then , four parallel algorithms are used to solve the linear equations , such as gaussian elimination , lu decomposition , ldr decomposition and wz decomposition . with the method of cyclic distribution , all rows of the coefficient matrix is allotted into different processes , then eliminated and decomposed by relevant processors 针对轮轨系统振动方程组系数矩阵的特点，分析了现有各种求解线性方程组并行算法的优缺点，选择高斯消去法、 lu分解、 ldr分解和wz分解法作比较，采用循环带状划分的方法将系数矩阵的各行分配到各进程，由各个处理器完成所分配矩阵行的消元和分解。
