BANDED TOEPLITZ PRECONDITIONERS FOR TOEPLITZ MATRICES FROM SINC METHODS
文献类型：期刊论文
| 作者 | Ren ZhiRu |
| 刊名 | JOURNAL OF COMPUTATIONAL MATHEMATICS
 |
| 出版日期 | 2012 |
| 卷号 | 30期号:5页码:533-543 |
| 关键词 | FAST ITERATIVE METHODS DIFFERENTIAL-EQUATIONS SYSTEMS Toeplitz matrix Banded Toeplitz preconditioner Generating function Sinc method Eigenvalue bounds |
| ISSN号 | 0254-9409 |
| 其他题名 | BANDED TOEPLITZ PRECONDITIONERS FOR TOEPLITZMATRICES FROM SINC METHODS |
| 英文摘要 | We give general expressions, analyze algebraic properties and derive eigenvalue bounds for a sequence of Toeplitz matrices associated with the sinc discretizations of various orders of differential operators. We demonstrate that these Toeplitz matrices can be satisfactorily preconditioned by certain banded Toeplitz matrices through showing that the spectra of the preconditioned matrices are uniformly bounded. In particular, we also derive eigenvalue bounds for the banded Toeplitz preconditioners. These results are elementary in constructing high-quality structured preconditioners for the systems of linear equations arising from the sinc discretizations of ordinary and partial differential equations, and are useful in analyzing algebraic properties and deriving eigenvalue bounds for the corresponding preconditioned matrices. Numerical examples are given to show effectiveness of the banded Toeplitz preconditioners. |
| 资助项目 | [State Key Laboratory of Scientific/Engineering Computing, Chinese Academy of Sciences] |
| 语种 | 英语 |
| CSCD记录号 | CSCD:4665770 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/56775]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 作者单位 | 中国科学院数学与系统科学研究院 |
| 推荐引用方式 GB/T 7714 | Ren ZhiRu. BANDED TOEPLITZ PRECONDITIONERS FOR TOEPLITZ MATRICES FROM SINC METHODS[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2012,30(5):533-543. |
| APA | Ren ZhiRu.(2012).BANDED TOEPLITZ PRECONDITIONERS FOR TOEPLITZ MATRICES FROM SINC METHODS.JOURNAL OF COMPUTATIONAL MATHEMATICS,30(5),533-543. |
| MLA | Ren ZhiRu."BANDED TOEPLITZ PRECONDITIONERS FOR TOEPLITZ MATRICES FROM SINC METHODS".JOURNAL OF COMPUTATIONAL MATHEMATICS 30.5(2012):533-543. |
入库方式： OAI收割
来源：数学与系统科学研究院
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