| Riesz界与条件数 |
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| 引用本文： | 庄智涛,王子子. Riesz界与条件数[J]. 数学理论与应用, 2011, 0(4) |
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| 作者姓名： | 庄智涛 王子子 |
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| 作者单位： | 华北水利水电学院数学与信息科学学院;山东英才学院; |
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| 摘 要： | 在多分辨分析与小波分析中,人们经常要估计Riesz基的上下界.在有限维空间中,这等价于计算Riesz基所对应Gramian矩阵的条件数.本文给出Riesz基与条件数的关系并且讨论了Riesz基加入元素后对Riesz界产生的影响.
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| 关 键 词： | Riesz界 条件数 |
Riesz Bounds and Conditon Number |
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| Zhuang Zhitao Wang Zizi. Riesz Bounds and Conditon Number[J]. Mathematical Theory and Applications, 2011, 0(4) |
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| Authors: | Zhuang Zhitao Wang Zizi |
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| Affiliation: | Zhuang Zhitao1 Wang Zizi2(1.College of Mathematics and Information Science,North China University of Water Resources and Electric Power,Zhengzhou,450011,P.R.China)(2.Shandong Yingcai University,Jinan,250104,P.R.China) |
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| Abstract: | People often need to estimate the Riesz bounds in multiresolution analysis and wavelets analysis.In finite condition,this equivalent to compute the condition number of Gramian matrix.This paper gives the relation of Riesz bounds and condition number.Furthermore,we discuss the perturbation of the Riesz bounds when add another elements. |
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| Keywords: | Riesz bounds Condition number |
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