Sufficient conditions on stable reconstruction of weighted problem. Issue 16 (2nd November 2022)

• Record Type: Journal Article
• Authors: Bu, Jing; Xie, Liejun; Wang, Jinping
• Is Part Of: Applicable analysis. Volume 101:Issue 16(2022)
• Page Start: 5674
• Page End: 5683
• Publication Date: 2022-11-02
• Subjects: Weighted robust null space -- weighted restricted isometry property -- stable recovery -- weighted minimization; 68W25 -- 49N45; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2021.1903443
• Languages: English
• ISSNs: 0003-6811

Abstract

Abstract : In this paper, two new sufficient conditions on stable recovery of the weighted signals via the weighted minimization are proposed based upon the weighted robust null space property (NSP) and the weighted restricted isometry property (RIP), respectively. Moreover, it is shown that the weighted RIP, as a stronger condition to estimate reconstruction errors, implies the weighted robust NSP.