Title
New Nonsmooth Equations-Based Algorithms for ℓ1-Norm Minimization and Applications.
Abstract
Recently, Xiao et al. proposed a nonsmooth equations-based method to solve the l(1)-norm minimization problem (2011). The advantage of this method is its simplicity and lower storage. In this paper, based on new nonsmooth equations reformulation, we investigate new nonsmooth equations-based algorithms for solving l(1)-norm minimization problems. Under mild conditions, we show that the proposed algorithms are globally convergent. The preliminary numerical results demonstrate the effectiveness of the proposed algorithms.
Year
DOI
Venue
2012
10.1155/2012/139609
JOURNAL OF APPLIED MATHEMATICS
Keywords
DocType
Volume
null
Journal
2012
Issue
ISSN
Citations 
null
1110-757X
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Lei Wu102.37
Zhe Sun2153.81