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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。

Okay. I'll cross it at all risks.

我今天豁出去了。

The two roads cross at an angle of about 45 degrees.

这两条路以约45度角交叉。

For once you will have Saturn helping you, not working at cross purposes to you.

十分难得的机会土星将带给予你帮助，而不是成为你的对头。

They seem to be at cross purposes ; they should forget the whole thing.

他们似乎彼此误会；他们应该忘掉整件事。

They have always been rivals, often acting at cross purposes and usually at sword's point.

他们一直是对手，经常为了不同的目的剑拔弩张。

The problem puts us at cross purposes with them.

这个问题使我们与他们之间产生了矛盾。

It seems we've been at cross purposes, doesn't it? But it's no use now.

看来似乎我们都走在叉路上了，但是现在没有用了。

Otherwise we shall be talking at cross purposes.

不然，我们就会抱着截然不同的目的在交谈。

Weakness in yuan the is working at cross purposes to these tightening policies.

人民币的疲软起到了与这些紧缩政策不同的作用。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。