KMS Of Academy of mathematics and systems sciences, CAS
| An active set Newton-CG method for l(1) optimization | |
| Cheng, Wanyou1; Dai, Yu-Hong2,3 | |
| 2021 | |
| Source Publication | APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS
 |
| ISSN | 1063-5203 |
| Volume | 50Pages:303-325 |
| Abstract | In this paper, we investigate the active set identification technique of ISTA and provide some good properties. An active set Newton-CG method is then proposed for l(1 )optimization. Under appropriate conditions, we show that the proposed method is globally convergent with some nonmonotone line search. The numerical comparisons with several state-of-art methods demonstrate the efficiency of the proposed method. (C) 2019 Elsevier Inc. All rights reserved. |
| Keyword | l(1) optimization Shrinkage operator Barzilai-Borwein method Newton-CG method |
| DOI | 10.1016/j.acha.2019.08.005 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | Chinese NSF[11971106] ; Chinese NSF[11371154] ; Chinese NSF[11331012] ; Chinese NSF[81173633] ; Chinese National Programs for Fundamental Research and Development[2015CB856002] ; China National Funds for Distinguished Young Scientists[11125107] ; Ministry of Education, Humanities and Social Sciences project[17JYJAZH011] ; Natural Science Foundation of Guangdong Province[2018A030313229] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000579922900010 |
| Publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/52338 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Cheng, Wanyou |
| Affiliation | 1.Dongguan Univ Technol, Coll Comp, Dongguan 523000, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| Recommended Citation GB/T 7714 | Cheng, Wanyou,Dai, Yu-Hong. An active set Newton-CG method for l(1) optimization[J]. APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS,2021,50:303-325. |
| APA | Cheng, Wanyou,&Dai, Yu-Hong.(2021).An active set Newton-CG method for l(1) optimization.APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS,50,303-325. |
| MLA | Cheng, Wanyou,et al."An active set Newton-CG method for l(1) optimization".APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS 50(2021):303-325. |
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