Onthe other hand, with traditional iterations and the conjugate gradient(CG) as smoothers, we can show the optimal convergence rate of the cascadic method in energy norm for 1-D and 2-D cases.
另一方面，采用传统迭代子和共轭梯度法作为光滑子，我们证明了瀑布型多重网格法对一、二维非线性椭圆边值问题，在能量范数下，均可获得最优收敛阶。
The stability and the optimal rate of convergence of the method are proved.
方法的稳定性和最优收敛率也得到证明。
Its rates of convergence in interior points equal the optimal rate convergence for estimating nonparametric function.
它在内点处的收敛速度达到了非参数函数估计的最优收敛速度。
The simulated experiments prove that the algorithm comes to excellent optimal solution with high convergence rate.
实验结果表明，该算法收敛速率快，寻优能力强，为指挥员提供了实时有效若干可行的分配方案。
Analysis show that the convergence rate is improved and more optimal solves are found with both 'switch operator' and 'ants out' strategy.
分析表明，两者结合比改进前具有更快的收敛速度，能得到更多的最优解。
Analysis show that the convergence rate is improved and more optimal solves are found with both 'switch operator' and 'ants out' strategy.
分析表明，两者结合比改进前具有更快的收敛速度，能得到更多的最优解。
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