KMS Of Academy of mathematics and systems sciences, CAS
COMBINATIVE PRECONDITIONERS OF MODIFIED INCOMPLETE CHOLESKY FACTORIZATION AND SHERMAN-MORRISON-WOODBURY UPDATE FOR SELF-ADJOINT ELLIPTIC DIRICHLET-PERIODIC BOUNDARY VALUE PROBLEMS | |
Bai Zhongzhi1; Li Guiqing2 | |
2004-01-01 | |
发表期刊 | Journal of Computational Mathematics |
ISSN | 0254-9409 |
卷号 | 22期号:6页码:833 |
摘要 | For the system of linear equations arising from discretization of the second-order self-adjoint elliptic Dirichlet-periodic boundary value problems, by making use of the special structure of the coefficient matrix we present a class of combinative preconditioners which are technical combinations of modified incomplete Cholesky factorizations and Sherman-Morrison- Woodbury update. Theoretical analyses show that the condition numbers of the preconditioned matrices can be reduced to O(h-1), one order smaller than the condition number 0(h-2) of the original matrix. Numerical implementations show that the resulting preconditioned conjugate gradient methods are feasible, robust and efficient for solving this class of linear systems. |
语种 | 英语 |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/19640 |
专题 | 中国科学院数学与系统科学研究院 |
作者单位 | 1.中国科学院数学与系统科学研究院 2.厦门大学 |
推荐引用方式 GB/T 7714 | Bai Zhongzhi,Li Guiqing. COMBINATIVE PRECONDITIONERS OF MODIFIED INCOMPLETE CHOLESKY FACTORIZATION AND SHERMAN-MORRISON-WOODBURY UPDATE FOR SELF-ADJOINT ELLIPTIC DIRICHLET-PERIODIC BOUNDARY VALUE PROBLEMS[J]. Journal of Computational Mathematics,2004,22(6):833. |
APA | Bai Zhongzhi,&Li Guiqing.(2004).COMBINATIVE PRECONDITIONERS OF MODIFIED INCOMPLETE CHOLESKY FACTORIZATION AND SHERMAN-MORRISON-WOODBURY UPDATE FOR SELF-ADJOINT ELLIPTIC DIRICHLET-PERIODIC BOUNDARY VALUE PROBLEMS.Journal of Computational Mathematics,22(6),833. |
MLA | Bai Zhongzhi,et al."COMBINATIVE PRECONDITIONERS OF MODIFIED INCOMPLETE CHOLESKY FACTORIZATION AND SHERMAN-MORRISON-WOODBURY UPDATE FOR SELF-ADJOINT ELLIPTIC DIRICHLET-PERIODIC BOUNDARY VALUE PROBLEMS".Journal of Computational Mathematics 22.6(2004):833. |
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