JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE) ›› 2015, Vol. 45 ›› Issue (4): 91-94.doi: 10.6040/j.issn.1672-3961.0.2015.032

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A note on the analysis of stability of noised sparse solutions

CUI Angang, LI Haiyang, REN Lu   

  1. School of Science, Xi'an Polytechnic University, Xi'an 710048, Shaanxi, China
  • Received:2015-02-08 Revised:2015-05-26 Online:2015-08-20 Published:2015-02-08

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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.

Key words: the underdetermined linear systems, singular value of matrix, stability, sparse solution, noise

CLC Number: 

  • O242.2
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