On the regularity of trust region-cg algorithm: With application to deconvolution problem

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	On the regularity of trust region-cg algorithm: With application to deconvolution problem
	Wang, YF
	2003-05-01
发表期刊	SCIENCE IN CHINA SERIES A-MATHEMATICS
ISSN	1006-9283
卷号	46 期号:3 页码:312-325
摘要	Deconvolution problem is a main topic in signal processing. Many practical applications are required to solve deconvolution problems. An important example is image reconstruction. Usually, researchers like to use regularization method to deal with this problem. But the cost of computation is high due to the fact that direct methods are used. This paper develops a trust region-cg method, a kind of iterative methods to solve this kind of problem. The regularity of the method is proved. Based on the special structure of the discrete matrix, FFT can be used for calculation. Hence combining trust region-cg method with FFT is suitable for solving large scale problems in signal processing.
关键词	ill-posed problems efficient implementation trust region-cg method regularity
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000183986300003
出版者	SCIENCE CHINA PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/18113
专题	中国科学院数学与系统科学研究院
通讯作者	Wang, YF
作者单位	1.Chinese Acad Sci, Inst Remote Sensing Applicat, Lab Remote Sensing Informat Sci, Beijing 100101, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci & Engn Comp, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Wang, YF. On the regularity of trust region-cg algorithm: With application to deconvolution problem[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS,2003,46(3):312-325.
APA	Wang, YF.(2003).On the regularity of trust region-cg algorithm: With application to deconvolution problem.SCIENCE IN CHINA SERIES A-MATHEMATICS,46(3),312-325.
MLA	Wang, YF."On the regularity of trust region-cg algorithm: With application to deconvolution problem".SCIENCE IN CHINA SERIES A-MATHEMATICS 46.3(2003):312-325.