A class of modified block SSOR preconditioners for symmetric positive definite systems of linear equations
文献类型：期刊论文
| 作者 | Bai, ZZ |
| 刊名 | ADVANCES IN COMPUTATIONAL MATHEMATICS
 |
| 出版日期 | 1999 |
| 卷号 | 10期号:2页码:169-186 |
| 关键词 | symmetric positive definite linear system block SSOR iteration preconditioner hierarchical basis discretization |
| ISSN号 | 1019-7168 |
| 英文摘要 | A class of modified block SSOR preconditioners is presented for solving symmetric positive definite systems of linear equations, which arise in the hierarchical basis finite element discretizations of the second order self-adjoint elliptic boundary value problems. This class of methods is strongly related to two level methods, standard multigrid methods, and Jacobi-like hierarchical basis methods. The optimal relaxation factors and optimal condition numbers are estimated in detail. Theoretical analyses show that these methods are very robust, and especially well suited to difficult problems with rough solutions, discretized using highly nonuniform, adaptively refined meshes. |
| 语种 | 英语 |
| WOS记录号 | WOS:000078800500003 |
| 出版者 | BALTZER SCI PUBL BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/14840]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 作者单位 | Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci Engn Comp, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Bai, ZZ. A class of modified block SSOR preconditioners for symmetric positive definite systems of linear equations[J]. ADVANCES IN COMPUTATIONAL MATHEMATICS,1999,10(2):169-186. |
| APA | Bai, ZZ.(1999).A class of modified block SSOR preconditioners for symmetric positive definite systems of linear equations.ADVANCES IN COMPUTATIONAL MATHEMATICS,10(2),169-186. |
| MLA | Bai, ZZ."A class of modified block SSOR preconditioners for symmetric positive definite systems of linear equations".ADVANCES IN COMPUTATIONAL MATHEMATICS 10.2(1999):169-186. |
入库方式： OAI收割
来源：数学与系统科学研究院
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