Note to the mixed-type splitting iterative method for the positive real linear system

CORC > 沈阳自动化研究所 > 中国科学院沈阳自动化研究所 > 工业信息学研究室 > 先进制造技术研究室

	Note to the mixed-type splitting iterative method for the positive real linear system
	Li ZJ(李长军); Evans, DJ
刊名	INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
	2002
卷号	79 期号:11 页码:1201-1209
关键词	linear system of equations iterative method SOR method AOR method symmetric and positive definite (SPD) matrix skew symmetric (SS) matrix positive real matrix
ISSN号	0020-7160
产权排序	1
中文摘要	In [5] a new iterative method is given for the linear system of equations Au=b , where A is large, sparse and nonsymmetrical and A(T)+A is symmetric and positive definite (SPD) or equivalently A is positive real. The new iterative method is based on a mixed-type splitting of the matrix A and is called the mixed-type splitting iterative method. The iterative method contains an auxiliary matrix D-1 that is restricted to be symmetric. In this note, the auxiliary matrix is allowed to be more general and it is shown that by proper choice of D-1 , the new iterative method is still convergent. It is also shown that by special choice of D-1, the new iterative method becomes the well-known (point) accelerated overrelaxation (AOR) [1] method. Hence, it is shown that the (point) AOR method applied to the positive real system is convergent under the proper choice of the overrelaxation parameters omega and tau.
WOS标题词	Science & Technology ; Physical Sciences
类目[WOS]	Mathematics, Applied
研究领域[WOS]	Mathematics
收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:000178078400006
公开日期	2012-05-29
内容类型	期刊论文
源URL	[http://ir.sia.cn/handle/173321/6941]
专题	沈阳自动化研究所_工业信息学研究室_先进制造技术研究室
推荐引用方式 GB/T 7714	Li ZJ,Evans, DJ. Note to the mixed-type splitting iterative method for the positive real linear system[J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS,2002,79(11):1201-1209.
APA	Li ZJ,&Evans, DJ.(2002).Note to the mixed-type splitting iterative method for the positive real linear system.INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS,79(11),1201-1209.
MLA	Li ZJ,et al."Note to the mixed-type splitting iterative method for the positive real linear system".INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 79.11(2002):1201-1209.