中文摘要：

DONOHO D L，ELADM等人分别利用矩阵的相干性和sparkη（A）的性质证明了（p0^Ъ）问题的稳定性定理。本研究首先通过反例指出ELADM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（P0^Ъ）问题的稳定性定理。

英文摘要：

Donoho D L and Elad M proved stability theorem of problem （ P0^Ъ ） by using the properties of matrix＇s mutualcoherence 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 （ Po ） was reproved by using the properties of sparkη （A） and the singular value of matrix.