Subspace methods for large scale nonlinear equations and nonlinear least squares

doi:10.1007/s11081-008-9064-0

	Subspace methods for large scale nonlinear equations and nonlinear least squares
	Yuan, Ya-Xiang
	2009-06-01
发表期刊	OPTIMIZATION AND ENGINEERING
ISSN	1389-4420
卷号	10 期号:2 页码:207-218
摘要	In this paper, we study large scale nonlinear systems of equations and nonlinear least square problems. We present subspace methods for solving these two special optimization problems. The subspace methods have the characteristic to force the next iteration in a low dimensional subspace. The main technique is to construct subproblems in low dimensions so that the computation cost in each iteration can be reduced comparing to standard approaches. The subspace approach offers a possible way to handle large scale optimization problems which are now attracting more and more attention. Actually, quite a few known techniques can be viewed as subspace methods, such as conjugate gradient method, limited memory quasi-Newton method, projected gradient method, and null space method.
关键词	Nonlinear equations Nonlinear least squares Subspace Trust region Line search
DOI	10.1007/s11081-008-9064-0
语种	英语
WOS研究方向	Engineering ; Operations Research & Management Science ; Mathematics
WOS类目	Engineering, Multidisciplinary ; Operations Research & Management Science ; Mathematics, Interdisciplinary Applications
WOS记录号	WOS:000266497700005
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/7371
专题	计算数学与科学工程计算研究所
通讯作者	Yuan, Ya-Xiang
作者单位	Chinese Acad Sci, State Key Lab Sci & Engn Comp, ICMSEC, AMSS, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Yuan, Ya-Xiang. Subspace methods for large scale nonlinear equations and nonlinear least squares[J]. OPTIMIZATION AND ENGINEERING,2009,10(2):207-218.
APA	Yuan, Ya-Xiang.(2009).Subspace methods for large scale nonlinear equations and nonlinear least squares.OPTIMIZATION AND ENGINEERING,10(2),207-218.
MLA	Yuan, Ya-Xiang."Subspace methods for large scale nonlinear equations and nonlinear least squares".OPTIMIZATION AND ENGINEERING 10.2(2009):207-218.