查询词典 coefficient matrix

A parallel algorithm for certain real symmetric block-tridiagonal linear systems on distributed-memory multicomputers is proposed. This algorithm is based on the block factorization of the coefficient matrix. This algorithm is used to solving the block-tridiagonal linear systems resulted from the finite difference approximation to Poisson's equation with Dirichlet boundary conditions. Then we get a parallel algorithm which speedup tends to linear speedup.

7研究了一类实对称块三对角线性方程组的分布式并行求解，提出了一种基于块矩阵分解的高效分布式并行算法，将其应用于求解带Dirichlet边界条件的Poisson方程导出的块三对角线性方程组，得到加速比趋于线性加速比的分布式并行算法，理论上说，这也是并行算法的理想情况。

The method can re duce computational cost because its coefficient matrix is smaller than that of conventional methods.

将该方法应用在离心风机的噪声预测中并考虑了蜗壳对声波反射和散射的影响。

Eigenfunction of the coefficient matrix is used to analyze the stability of ordinary differential equations, so that the developing ...

还讨论了控制方程的稳定性对数值方法的重要影响，并得到步长的取值范围。

Because the coupling condition of NNGFM arises from the net current continuity imposed at the volume element interfaces, the relatively complex conversion formulation for partial current continuity condition of NGFM is unnecessary when applying G. E. T., and computation time is saved. The coefficient matrix of the coupled equations is tridiagonal, so it can be solved by forward elimination and backward substitution method.

NNGFM的基准校验及在大庆200MW核供热堆(NHR-200)上的应用表明，NNGFM计算精度和速度与第三类边界条件格林函数节块法NGFM〓相当，在相同精度下速度比CITATION能快1000倍；NNGFM给出的本征值、功率分布较NNGFM误差能减少一半以上，为更精确计算工作期、卡棒当量提供了条件。

The systematic error can be corrected through the integral light energy coefficient matrix.

本文提出通过焦斑积分式光能分布系数矩阵进行校正，并进行了数值模拟研究。

By For the Jacobi iterative method of Gauss - Seidel iterative method and the comparison Initial research iterative equation and the nature of the coefficient matrix iteration convergence speed impact.

本文通过了举例对Jacobi迭代法和Gauss-Seidel迭代法进行了比较，研究迭代初值和方程组系数矩阵性质对迭代法收敛速度的影响。

Considering this and comparative analysis, orthogonal list is used to storage coefficient matrix, and Improving Gaussian Elimination Method is used to numerically calculate dynamical equation. Therefore, nodes positions and the real-time moving states of model can be obtained in this way.

此外，本文分析了用于柔性体建模的几何方法、物理方法后，将较为可行的基于弹性理论的弹簧-质点模型引用到充气膜结构的充气过程模拟中，从而可以有效的模拟三维充气膜结构。

Based on the adequate study of general method to solve linear equation group, this thesis employs incomplete Cholesky conjugate gradient method for the numerical stability and efficiency of solution process. In order to eliminate morbidity of FEM coefficient matrix and speed up its convergency, this thesis proposes a newly effective incomplete Cholesky decomposition preconditioned method and suggests some improved preconditioned schemes to the current popular ICCG methods.

为了克服系数矩阵病态特性和加快收敛速度，本文从完全的Cholesky分解出发，构造出了一种新的不完全分解预处理方法，效果显著；另外，在已有的不完全Cholesky分解预处理方法的基础上，提出了十分有效的改进方案。

In SLDMINV the invariance of the Krylov subspace is invoked, making the main computation reduced into almost real arithmetic, and thus lowering the computation amount markedly. In the meantime, the iteration is performed in the Krylov subspace generated from the inverse of the coefficient matrix and so the convergent speed is enhanced greatly, leading to two orders of the magnitude improvement over standard SLDM.

SLDMINV中运用了Krylov子空间不变性技巧，这使得计算基本化为实运算，显著降低了计算量；同时在由系数矩阵的逆构成的子空间上进行迭代，收敛速度大大加快，较之SLDM提高两个量级。

On the other hand, we introduce the convergence theories for generalized alternating method, parallel synchronous iterative methods and parallel alternating synchronous iterative methods when the coefficient matrix are Hermitian positive definite matrices.

接着，讨论了当系数矩阵是Hermitian正定矩阵时广义交替迭代法，并行同步迭代法，并行交替同步迭代法的收敛理论。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新