snigpropertyofmatrixlowrankfactorizationmodel
文献类型：期刊论文
| 作者 | Wang Hong1; Liu Xin2 ; Chen Xiaojun1; Yuan Yaxiang2
|
| 刊名 | journalofcomputationalmathematics
 |
| 出版日期 | 2018 |
| 卷号 | 36期号:3页码:374 |
| ISSN号 | 0254-9409 |
| 英文摘要 | Recently, the matrix factorization model attracts increasing attentions in handling large-scale rank minimization problems, which is essentially a nonconvex minimization problem. Specifically, it is a quadratic least squares problem and consequently a quartic polynomial optimization problem. In this paper, we introduce a concept of the SNIG ("Second-order Necessary optimality Implies Global optimality") condition which stands for the property that any second-order stationary point of the matrix factorization model must be a global minimizer. Some scenarios under which the SNIG condition holds are presented. Furthermore, we illustrate by an example when the SNIG condition may fail. |
| 资助项目 | [NSFC] ; [China 863 Program] ; [National Center for Mathematics and Interdisciplinary Sciences, CAS] ; [NSFC/Hong Kong Research Grant Council] |
| 语种 | 英语 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/46794]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 作者单位 | 1.香港理工大学 2.中国科学院数学与系统科学研究院 |
| 推荐引用方式 GB/T 7714 | Wang Hong,Liu Xin,Chen Xiaojun,et al. snigpropertyofmatrixlowrankfactorizationmodel[J]. journalofcomputationalmathematics,2018,36(3):374. |
| APA | Wang Hong,Liu Xin,Chen Xiaojun,&Yuan Yaxiang.(2018).snigpropertyofmatrixlowrankfactorizationmodel.journalofcomputationalmathematics,36(3),374. |
| MLA | Wang Hong,et al."snigpropertyofmatrixlowrankfactorizationmodel".journalofcomputationalmathematics 36.3(2018):374. |
入库方式： OAI收割
来源：数学与系统科学研究院
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