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托普利兹矩阵

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Chapter 9: We report a large quantity of numerical experiments of 13 different algebraic multigrid algorithms for solving the Poisson equation, anisotropic equation, equation with cross-derivative terms, general matrix problems with large off-diagonal positive entries, biharmonic equation, Toeplity matrix, elasticity systems, finite element discretization of the Laplacian and even 3D problems. Particular attention is focused on asymptotic convergence factors and CPU-time consumed. Numerical results for many different types of practical problems demonstrate the efficiency and robustness of the proposed algebraic multigrid methods.

第九章:在各种代数多重网格算法的基础上,进行了大量的数值试验,具体给出了十三种不同的代数多重网格方法求解泊松方程,各向异性方程,带混合导数项的方程,带有大的非对角正元素的一般矩阵问题,重调和方程,托普利兹矩阵,弹性力学方程组,拉普拉斯算子的有限元离散,甚至三维问题的较为丰富的数值结果,重点关注它们的渐近收敛因子和所需的CPU时间,来源于不同类型问题的计算结果既为代数多重网格理论分析和算法的改进提供了很实用的资料,同时也证实了本文给出的代数多重网格算法的效绩和稳健性。

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This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

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