A class of new parallel hybrid algebraic multilevel iterations
文献类型：期刊论文
| 作者 | Bai, ZZ
|
| 刊名 | JOURNAL OF COMPUTATIONAL MATHEMATICS
 |
| 出版日期 | 2001-11-01 |
| 卷号 | 19期号:6页码:651-672 |
| 关键词 | elliptic boundary value problem system of linear equations symmetric positive definite matrix multilevel iteration parallel method |
| ISSN号 | 0254-9409 |
| 英文摘要 | For the large sparse system of linear equations with symmetric positive definite block coefficient matrix resulted from suitable finite element discretization of the second-order self-adjoint elliptic boundary value problem, by making use of the algebraic multilevel iteration technique and the blocked preconditioning strategy, we construct preconditioning matrices having parallel computing function for the coefficient matrix and set up a class of parallel hybrid algebraic multilevel iteration methods for solving this kind of system of linear equations, Theoretical analyses show that, besides much suitable for implementing on the high-speed parallel multiprocessor systems, these new methods are optimal-order methods. That is to say, their convergence rates are independent of both the sizes and the levels of the constructed matrix sequence, and their computational workloads are bounded by linear functions in the order number of the considered system of linear equations, respectively. |
| 语种 | 英语 |
| WOS记录号 | WOS:000172581100010 |
| 出版者 | VSP BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/16309]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Bai, ZZ. A class of new parallel hybrid algebraic multilevel iterations[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2001,19(6):651-672. |
| APA | Bai, ZZ.(2001).A class of new parallel hybrid algebraic multilevel iterations.JOURNAL OF COMPUTATIONAL MATHEMATICS,19(6),651-672. |
| MLA | Bai, ZZ."A class of new parallel hybrid algebraic multilevel iterations".JOURNAL OF COMPUTATIONAL MATHEMATICS 19.6(2001):651-672. |
入库方式： OAI收割
来源：数学与系统科学研究院
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