For a general banded matrix, discuss the sparsity pattern of the Q and R matrices from the QR decomposition of symmetric and non-symmetric tridiagonal matrices. 对于一般的带状矩阵,详述对对称与非对称三对角化矩阵做QR分解后,Q矩阵与R矩阵的稀疏元素分布型态。
The mutual coupling matrix of uniform linear arrays is modeled with a banded symmetric Toeplitz matrix. 用一带状、对称Toeplitz矩阵对均匀线阵的互耦矩阵建模。
The element stiffness matrix was given, and the banded matrix of coefficients in the system of finite element equations begotten. 给出单元刚度矩阵,产生有限元方程组带状系数矩阵。然后用泛函分析理论工具,讨论有限元近似解的收敛性。
It is to be discussed as follows: ( 1) With suitable decomposition of banded coefficient matrix, a parallel iterative algorithm on distributed-memory multi-computer is established in chapter two, which is based row action method. 对带状线性方程组的系数矩阵A作适当的行分配,在行作用方法的基础上给出了行作用方法的并行实现方法。
The four kinds of method for symmetrization of the nonsymmetric and no. banded matrix equations of the mixed element and the associated approximate methods for analysis of some fluid-solid coupled dynamic problems are proposed. 对于非对称、非带状混合元方程,提出了四种对称化方法及相应的分析耦合问题的近似方法。
A banded sparse system matrix is obtained. 所得系统矩阵是一个带状稀疏矩阵。
Parallel Cholesky Decomposition of Symmetric Banded Matrix and Parallel Computation of Symmetric Equations 对称带状矩阵的并行Cholesky分解及相应线性方程组的并行计算
A class of algorithm for determining determinants of sparse banded matrix 稀疏带状矩阵行列式的一类算法
The numerical results show: the computation time reduce greatly based on the good reconstruction accuracy. ( 4) Based on the spare banded matrix and spare rank matrix, a new spare measurement matrix was structured. 数值结果表明:在使重构精度提高的同时,该构造基可以大大的减少计算时间。(4)基于稀疏带状和稀疏列矩阵,构造了一种新的稀疏观测矩阵。