Triangular decomposition of affine composition algebras 仿射合成代数的三角分解
Evaluation modules of lie algebras with a triangular decomposition 代数的表示及生成关系
For this large - scale non - linear equation , a blocked parallel algorithm for the power flow jacobi matrix equation is designed based on the parallel triangular decomposition 对于这一大规模的非线性方程,文中设计了求解潮流计算的雅可比矩阵方程的并行算法,即结合并行化三角分解法的分块法。
It is to be discussed as follows : ( 1 ) the new quadratic pek method is derived on the base of incompletely lu triangular decomposition . based on the results , the convergence of the new quadratic pek method is proved about the hermite positive definite matrix , m - matrix and h - matrix . in the end , some examples are given to illustrate that the convergence of the new quadratic pek method is better than pe method and quadratic pe method to proper parameter k 本文对这种类型系数矩阵的方程组给出了一种迭代解法,主要讨论了如下几个问题: ( 1 )在对系数矩阵进行不完全lu分解的基础上,导出了新型二次pe _ k方法,对系数矩阵a为hermite正定矩阵, m -矩阵及h -矩阵,证明了新型二次pe _ k方法的收敛性,并且在最后通过实例计算说明了对适当的参数k ,新型二次pe _ k方法比pe方法及二次pe方法的收敛性都好。
百科解释
In computer algebra, a triangular decomposition of a polynomial system S is a set of simpler polynomial systems S_1,ldots, S_e such that a point is a solution of S if and only if it is a solution of one of the systems S_1,ldots, S_e.