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超加权平均及其在数值计算中的应用
引用本文:毕小山 郭晓丽. 超加权平均及其在数值计算中的应用[J]. 焦作工学院学报, 2001, 20(4): 299-301
作者姓名:毕小山 郭晓丽
作者单位:[1]焦作工学院基础部,河南焦作454000 [2]郑州轻工学院基础部,河南郑州450002
摘    要:平均问题是数学问题中一个既经典又现代的问题 ,平均问题中有几个迄今仍未得到解决 .迭代是数值计算中最基本的方法 ,迭代的加速一直是人们追求的目标 .本文给出了超加权平均的定义 ,利用超加权平均可以从数学本质上探讨迭代的加速问题 ,同时 ,给出了它在数值计算中几个重要应用

关 键 词:超加权平均  迭代  迭代的加速数值计算

Super weighted average and its application of numerical calcuation
BI Xiao.shan ,GUO Xiao.li. Super weighted average and its application of numerical calcuation[J]. Journal of Jiaozuo Institute of Technology(Natural Science), 2001, 20(4): 299-301
Authors:BI Xiao.shan   GUO Xiao.li
Affiliation:BI Xiao*.shan 1,GUO Xiao*.li 2
Abstract:Average is a classical as well as morden problem in mathematics up to now,there are still several unsolved problems of average.Iterative method is a basic method of numerical calculation,acceleration for iterate is a target.It has definited super weighted average.The accelerated iterative method has been studied in mathematics by using it.Meanwhile,it has given more examples about its application in numerical calculation.
Keywords:super weighted average  iterative method  accelerated iterative method  numerical calcuation  
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