%0 Journal Article
%T 带有噪音的稀疏解的稳定性分析的注<br>A note on the analysis of stability of noised sparse solutions
%A 崔安刚
%A 李海洋
%A 任璐&lt
%A br&gt
%A CUI Angang
%A LI Haiyang
%A REN Lu
%J 山东大学学报（工学版）
%D 2015
%R 10.6040/j.issn.1672-3961.0.2015.032
%X 摘要： DONOHO D L, ELAD M等人分别利用矩阵的相干性和sparkη(A)的性质证明了(P0ε)问题的稳定性定理。本研究首先通过反例指出ELAD M的证明过程存在错误,其次利用sparkη(A)和矩阵奇异值的性质重新证明(P0ε)问题的稳定性定理。<br>Abstract: Donoho D L and Elad M proved stability theorem of problem (P0ε) by using the properties of matrix's mutual-coherence and sparkη(A) respectively. Counter-example was used to show that there were some mistakes in Elad M's proof, and then stability theorem of problem (P0ε) was reproved by using the properties of sparkη(A) and the singular value of matrix
%K 噪音
%K 矩阵奇异值
%K 稳定性
%K 欠定线性方程组
%K 稀疏解
%K &lt
%K br&gt
%K the underdetermined linear systems
%K singular value of matrix
%K stability
%K sparse solution
%K noise
%U http://gxbwk.njournal.sdu.edu.cn/CN/10.6040/j.issn.1672-3961.0.2015.032