In the article , we first change the sylvester equation into ( a in + im bt ) x = c , then we split the coefficient matrix a in + im bt 本文首先将sylvester方程变形成，然后讨论对系数矩阵，进行分裂的迭代解法。第二章，讨论jacobi迭代格式。
A novel reversible coordinate transform method , need not calculating the transform coefficient matrix , based on vector operation is proposed in this paper 摘要提出了一种基于矢量运算的新的坐标变换方法，该方法具有不需要计算转换系数矩阵、可逆的特点。
The compressed coefficient matrix is stored and other memory saving methods are involved . ssor is employed to improve the coefficient matrix , as a result , fem solver - bicg is speeded 讨论了有限元方程组系数矩阵的压缩存储技术和其它一些内存紧缩方法，节省了大量的内存消耗。
In chapter 3 , gauss - seidel iterative method is discussed . if the sylvester equation coefficient matrices a , b are non - singular m - matrix , we use a splitting - up method which has a parameter in chapter 4 在第四章，对于系数矩阵a , b是非奇m阵的情况，本文将一种带参数的分裂算法应用于求解sylvester方程。
When the moving platform is in horizontal posture , the rank primary element crout solution is employed and the analytic solutions of errors dispersion is extracted , the nonsingular coefficient matrix is also proved 当活动平台处于水平姿态时，应用列主元crout分解法解出了误差分布解析解，并证明了系数矩阵是非奇异的。
Furthermore , these ics span the characteristic space of normal operating condition ( noc ) , and the changes of coefficients matrix are monitored which are obtained by projection of process variables onto the space of noc 进一步地，这些独立成分构成了正常工况的特征空间，过程变量在该空间上投影系数矩阵的变化被作为监控指标。
First , we consider a dynamic input - output model with deterministic consumption vector s ( t ) , random consumption coefficient matrix and random investment coefficient matrix which the time lag is one 首先,对时滞为1的动态投入产出模型,将随机因素、消费向量考虑进去,研究时滞为1且带确定性消费的前向延迟型随机动态投入产出模型
The method that how to adjust the consumption coefficients according to the final demand structure is researched ; in order to make the right positive characteristic vector of the new consumption coefficient matrix is just the final demand structure 摘要研究了如何根据最终需求的结构来调整原有的消耗系数，使得调整后的消耗系数矩阵的右正特征矢量是最终需求结构。
From the least complementary principle , the general expressions of deformable consistency equations are derived . for realizing the compute processes of the flexibility method , the matrices of internal forces and the coefficient matrices are presented 有了变形协调方程就可以进行内力计算了，为了用计算机实现力法的计算过程，给出了内力的矩阵表达式及系数矩阵的形成方法。
Secondly , overcoming drawback of single variable fitting ar models lacking of other variables acting on factor variable , a set of the trace formulas are given about the time - change coefficient matrixes of multivariable fitting ar models 2应用逐段线性化的方法推导出了多维ar （ r ）自适应模型时变系数矩阵的递推公式，克服了单变量ar （ r ）自适应模型没有考虑其他变元对因变元的作用的缺陷。
