New Nonsmooth Equations-Based Algorithms for ℓ1-Norm Minimization and Applications
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-12-26
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
Recently, Xiao et al.
proposed a nonsmooth equations-based method to solve the ℓ1-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 ℓ1-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.
American Psychological Association (APA)
Wu, Lei& Sun, Zhe. 2012. New Nonsmooth Equations-Based Algorithms for ℓ1-Norm Minimization and Applications. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-992972
Modern Language Association (MLA)
Wu, Lei& Sun, Zhe. New Nonsmooth Equations-Based Algorithms for ℓ1-Norm Minimization and Applications. Journal of Applied Mathematics No. 2012 (2012), pp.1-14.
https://search.emarefa.net/detail/BIM-992972
American Medical Association (AMA)
Wu, Lei& Sun, Zhe. New Nonsmooth Equations-Based Algorithms for ℓ1-Norm Minimization and Applications. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-14.
https://search.emarefa.net/detail/BIM-992972
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-992972