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1)  asymptotic error constant
渐近误差常数
1.
Through choosing the optimal weighted factor to make the scheme with smaller asymptotic error constant and at least having the convergent order of the former iterative schemes.
通过选取最优加权因子使得该迭代格式具有较小的渐近误差常数,且至少具有原有迭代格式的收敛阶,数值例子表明该方法具有较快的收敛速度。
2.
Through Choosing the optimal weighted factor to make the scheme with higher-order convergence and smaller asymptotic error constant.
提出了加速牛顿迭代收敛的新思想,构造出一类加权牛顿迭代格式,通过选取最优加权因子,使得该格 式具有高阶收敛性和较小的渐近误差常数
2)  Asymptotic error relation
渐近误差系数
3)  asymptotic error
渐近误差
1.
(x) there is a convergence velocity with both uniform asymptotic error and mean square meaning on condition that P (x) is smooth at every interval within a finite section and that the operational calculus function G (y) is at a relatively rapid speed when approximating zero (when
只要P(x)在每一有限区间内逐段光滑,且P(x)的运算微积函数G(y)趋于零的速度较快(时),则Pn(x)便有一致渐近误差和一致均方意义下的收敛速度。
4)  multi-parameter asymptotic error expansion
多参数渐近误差展开
1.
A multi-parameter asymptotic error expansion and extrapolation of the Hood-Taylor elements for the Stokes problem is considered on the piecewise uniform rectangular meshes.
考虑拟一致矩形网格上Stokes方程组Hood-Taylor元的多参数渐近误差展开和分裂外推。
5)  asymptotically constant solutions
渐近常数解
1.
A set of sufficient conditions of existence of asymptotically constant solutions of a class of high order nonlinear difference systems with a delay are given by Schauder-Tychonofffixed point theorem.
利用Schauder-Tychonoff不动点定理,研究了一类高阶时滞差分系统,获得了一组渐近常数解存在的充分性条件。
6)  distortion asymptotic theory
误差渐近理论
1.
The distortion competitive learning algorithm is presen ted using Gersho′s distortion asymptotic theory of vector quantization, that is , the subdistortion of each region equals to each other when the num ber of the codebook approaches infinity.
该算法基于 Gersho的矢量量化误差渐近理论的等误差原则 ,即当码本数趋于无穷大时 ,各区域子误差相等 ,使用这个原则作为最优码书设计的一个必要条件 ,并结合传统最优码书设计的两个必要条件 ,然后根据这 3个必要条件 :( 1)最近邻规则 ;( 2 )中心准则 ;( 3)各区域子误差近似相等设计最优码书 ,而在算法的实现中引入广义误差测度 ,以确保该测度与各个区域的子误差相关。
补充资料:渐近公式


渐近公式
asymptotic formula

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