CSpace
ageneraltwolevelsubspacemethodfornonlinearoptimization
Chen Cheng1; Wen Zaiwen2; Yuan Yaxiang3
2018
Source Publicationjournalofcomputationalmathematics
ISSN0254-9409
Volume36Issue:6Pages:881
AbstractA new two-level subspace method is proposed for solving the general unconstrained minimization formulations discretized from infinite-dimensional optimization problems. At each iteration, the algorithm executes either a direct step on the current level or a coarse subspace correction step. In the coarse subspace correction step, we augment the traditional coarse grid space by a two-dimensional subspace spanned by the coordinate direction and the gradient direction at the current point. Global convergence is proved and convergence rate is studied under some mild conditions on the discretized functions. Preliminary numerical experiments on a few variational problems show that our two-level subspace method is promising.
Language英语
Funding Project[NSFC]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/36890
Collection中国科学院数学与系统科学研究院
Affiliation1.中国科学院大学
2.北京大学
3.中国科学院数学与系统科学研究院
Recommended Citation
GB/T 7714
Chen Cheng,Wen Zaiwen,Yuan Yaxiang. ageneraltwolevelsubspacemethodfornonlinearoptimization[J]. journalofcomputationalmathematics,2018,36(6):881.
APA Chen Cheng,Wen Zaiwen,&Yuan Yaxiang.(2018).ageneraltwolevelsubspacemethodfornonlinearoptimization.journalofcomputationalmathematics,36(6),881.
MLA Chen Cheng,et al."ageneraltwolevelsubspacemethodfornonlinearoptimization".journalofcomputationalmathematics 36.6(2018):881.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Chen Cheng]'s Articles
[Wen Zaiwen]'s Articles
[Yuan Yaxiang]'s Articles
Baidu academic
Similar articles in Baidu academic
[Chen Cheng]'s Articles
[Wen Zaiwen]'s Articles
[Yuan Yaxiang]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Chen Cheng]'s Articles
[Wen Zaiwen]'s Articles
[Yuan Yaxiang]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.