AN ANALYSIS OF THE ADI METHOD FOR A CLASS OF MATRICES WITH COMPLEX SPECTRA

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	AN ANALYSIS OF THE ADI METHOD FOR A CLASS OF MATRICES WITH COMPLEX SPECTRA
	EVANS, DJ; LI, CJ
通讯作者	EVANS, DJ()
	1992
发表期刊	INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
ISSN	0020-7160
卷号	46 期号:3-4 页码:219-228
摘要	The ADI method is considered here for a class of unsymmetric linear systems Ax = b arising from the non-self-adjoint elliptic partial differential Eq. [1]. If the matrix A is split into parts H and V, i.e., A = H + V then we consider the case where H and V have complex spectra. The convergence and optimum parameter determination of the ADI method with one and two parameters are studied. First it is shown that the ADI method with one parameter r converges for any positive r and the optimum parameter r can be given analytically. Then it is shown that the optimum ADI method with two parameters is better than the one parameter ADI method in most cases. A procedure for determining the two optimum parameters is given. The numerical comparisons between the ADI method with one and two parameters are included.
关键词	ADI METHOD COMPLEX MATRICES OPTIMAL PARAMETERS
收录类别	SCI
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:A1992MX32700008
出版者	GORDON BREACH SCI PUBL LTD
引用统计	被引频次：1[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.imr.ac.cn/handle/321006/126307
专题	中国科学院金属研究所
通讯作者	EVANS, DJ
作者单位	CHINESE ACAD SCI,SHENYANG INST COMP TECHNOL,SHENYANG,PEOPLES R CHINA
推荐引用方式 GB/T 7714	EVANS, DJ,LI, CJ. AN ANALYSIS OF THE ADI METHOD FOR A CLASS OF MATRICES WITH COMPLEX SPECTRA[J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS,1992,46(3-4):219-228.
APA	EVANS, DJ,&LI, CJ.(1992).AN ANALYSIS OF THE ADI METHOD FOR A CLASS OF MATRICES WITH COMPLEX SPECTRA.INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS,46(3-4),219-228.
MLA	EVANS, DJ,et al."AN ANALYSIS OF THE ADI METHOD FOR A CLASS OF MATRICES WITH COMPLEX SPECTRA".INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 46.3-4(1992):219-228.