On Relaxed Greedy Randomized Augmented Kaczmarz Methods for Solving Large Sparse Inconsistent Linear Systems
文献类型：期刊论文
| 作者 | Bai, Zhong-Zhi1,2; Wang, Lu1,2; Muratova, Galina, V3 |
| 刊名 | EAST ASIAN JOURNAL ON APPLIED MATHEMATICS
 |
| 出版日期 | 2021-12-27 |
| 页码 | 10 |
| 关键词 | System of linear equations relaxation augmented linear system randomized Kaczmarz method convergence property |
| ISSN号 | 2079-7362 |
| DOI | 10.4208/eajam.100821.251121 |
| 英文摘要 | For solving large-scale sparse inconsistent linear systems by iteration me-thods, we introduce a relaxation parameter in the probability criterion of the greedy randomized augmented Kaczmarz method, obtaining a class of relaxed greedy rando-mized augmented Kaczmarz methods. We prove the convergence of these methods and estimate upper bounds for their convergence rates. Theoretical analysis and numerical experiments show that these methods can perform better than the greedy randomized augmented Kaczmarz method if the relaxation parameter is chosen appropriately. |
| 资助项目 | National Natural Science Foundation, China[12071472] ; Grant of the Government of the Russian Federation, Russia[075-15-2019-1928] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000736922900001 |
| 出版者 | GLOBAL SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/59748]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Wang, Lu |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci Engn Comp, POB 2719, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Southern Fed Univ, II Vorovich Inst Math Mech & Comp Sci, Lab Computat Mech, Rostov Na Donu 344090, Russia |
| 推荐引用方式 GB/T 7714 | Bai, Zhong-Zhi,Wang, Lu,Muratova, Galina, V. On Relaxed Greedy Randomized Augmented Kaczmarz Methods for Solving Large Sparse Inconsistent Linear Systems[J]. EAST ASIAN JOURNAL ON APPLIED MATHEMATICS,2021:10. |
| APA | Bai, Zhong-Zhi,Wang, Lu,&Muratova, Galina, V.(2021).On Relaxed Greedy Randomized Augmented Kaczmarz Methods for Solving Large Sparse Inconsistent Linear Systems.EAST ASIAN JOURNAL ON APPLIED MATHEMATICS,10. |
| MLA | Bai, Zhong-Zhi,et al."On Relaxed Greedy Randomized Augmented Kaczmarz Methods for Solving Large Sparse Inconsistent Linear Systems".EAST ASIAN JOURNAL ON APPLIED MATHEMATICS (2021):10. |
入库方式： OAI收割
来源：数学与系统科学研究院
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