New Nonsmooth Equations-Based Algorithms for -Norm Minimization and Applications
Recently, Xiao et al. proposed a nonsmooth equations-based method to solve the -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 f...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/139609 |
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| _version_ | 1832568258708897792 |
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| author | Lei Wu Zhe Sun |
| author_facet | Lei Wu Zhe Sun |
| author_sort | Lei Wu |
| collection | DOAJ |
| description | Recently, Xiao et al. proposed a nonsmooth equations-based method to solve the -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 -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. |
| format | Article |
| id | doaj-art-f903181cadd6466d838eb8e37e890838 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-f903181cadd6466d838eb8e37e8908382025-02-03T00:59:32ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/139609139609New Nonsmooth Equations-Based Algorithms for -Norm Minimization and ApplicationsLei Wu0Zhe Sun1College of Mathematics and Econometrics, Hunan University, Changsha 410082, ChinaCollege of Mathematics and Information Science, Jiangxi Normal University, Nanchang 330022, ChinaRecently, Xiao et al. proposed a nonsmooth equations-based method to solve the -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 -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.http://dx.doi.org/10.1155/2012/139609 |
| spellingShingle | Lei Wu Zhe Sun New Nonsmooth Equations-Based Algorithms for -Norm Minimization and Applications Journal of Applied Mathematics |
| title | New Nonsmooth Equations-Based Algorithms for -Norm Minimization and Applications |
| title_full | New Nonsmooth Equations-Based Algorithms for -Norm Minimization and Applications |
| title_fullStr | New Nonsmooth Equations-Based Algorithms for -Norm Minimization and Applications |
| title_full_unstemmed | New Nonsmooth Equations-Based Algorithms for -Norm Minimization and Applications |
| title_short | New Nonsmooth Equations-Based Algorithms for -Norm Minimization and Applications |
| title_sort | new nonsmooth equations based algorithms for norm minimization and applications |
| url | http://dx.doi.org/10.1155/2012/139609 |
| work_keys_str_mv | AT leiwu newnonsmoothequationsbasedalgorithmsfornormminimizationandapplications AT zhesun newnonsmoothequationsbasedalgorithmsfornormminimizationandapplications |