A hybrid preconditioner of banded matrix approximation and alternating direction implicit iteration for symmetric Sinc-Galerkin linear systems
文献类型：期刊论文
| 作者 | Ng, MK; Bai, ZZ |
| 刊名 | LINEAR ALGEBRA AND ITS APPLICATIONS
 |
| 出版日期 | 2003-06-01 |
| 卷号 | 366页码:317-335 |
| 关键词 | Toeplitz-plus-diagonal ADI banded preconditioner |
| ISSN号 | 0024-3795 |
| DOI | 10.1016/S0024-3795(02)00502-5 |
| 英文摘要 | The symmetric Sinc-Galerkin method applied to a sparable second-order self-adjoint elliptic boundary value problem gives rise to a system of linear equations (Psi(x) circle times D-y + D-x circle times Psi(y))u = g, where circle times is the Kronecker product symbol, Psi(x) and Psi(y) are Toeplitz-plus-diagonal matrices, and D-x and D-y are diagonal matrices. The main contribution of this paper is to present and analyze a two-step preconditioning strategy based on the banded matrix approximation (BMA) and the alternating direction implicit (ADI) iteration for these Sinc-Galerkin systems. In particular, we show that the two-step preconditioner is symmetric positive definite, and the condition number of the preconditioned matrix is bounded by the convergence factor of the involved ADI iteration. Numerical examples show that the new preconditioner is practical and efficient to precondition the conjugate gradient method for solving the above symmetric Sinc-Galerkin linear system. (C) 2003 Elsevier Science Inc. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000182667200018 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/18109]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Ng, MK |
| 作者单位 | 1.Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Sate Key Lab Sci Engn Comp, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Ng, MK,Bai, ZZ. A hybrid preconditioner of banded matrix approximation and alternating direction implicit iteration for symmetric Sinc-Galerkin linear systems[J]. LINEAR ALGEBRA AND ITS APPLICATIONS,2003,366:317-335. |
| APA | Ng, MK,&Bai, ZZ.(2003).A hybrid preconditioner of banded matrix approximation and alternating direction implicit iteration for symmetric Sinc-Galerkin linear systems.LINEAR ALGEBRA AND ITS APPLICATIONS,366,317-335. |
| MLA | Ng, MK,et al."A hybrid preconditioner of banded matrix approximation and alternating direction implicit iteration for symmetric Sinc-Galerkin linear systems".LINEAR ALGEBRA AND ITS APPLICATIONS 366(2003):317-335. |
入库方式： OAI收割
来源：数学与系统科学研究院
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