Note to the mixed-type splitting iterative method for the positive real linear system
文献类型：期刊论文
| 作者 | Li ZJ(李长军); Evans, DJ |
| 刊名 | INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
 |
| 出版日期 | 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 |
| 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. |
入库方式： OAI收割
来源：沈阳自动化研究所
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