AN ANALYSIS OF THE ADI METHOD FOR A CLASS OF MATRICES WITH COMPLEX SPECTRA
文献类型：期刊论文
| 作者 | EVANS, DJ; LI, CJ |
| 刊名 | INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
 |
| 出版日期 | 1992 |
| 卷号 | 46期号:3-4页码:219-228 |
| 关键词 | ADI METHOD COMPLEX MATRICES OPTIMAL PARAMETERS |
| ISSN号 | 0020-7160 |
| 通讯作者 | EVANS, DJ() |
| 英文摘要 | 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. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:A1992MX32700008 |
| 出版者 | GORDON BREACH SCI PUBL LTD |
| 源URL | [http://ir.imr.ac.cn/handle/321006/126303]  |
| 专题 | 金属研究所_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. |
入库方式： OAI收割
来源：金属研究所
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