Uniform bounds on the 1-norm of the inverse of lower triangular Toeplitz matrices
文献类型：期刊论文
| 作者 | Liu, X.2 ; McKee, S.3; Yuan, J. Y.1; Yuan, Y. X.2
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| 刊名 | LINEAR ALGEBRA AND ITS APPLICATIONS
 |
| 出版日期 | 2011-09-01 |
| 卷号 | 435期号:5页码:1157-1170 |
| 关键词 | 1-Norm uniform upper bound Inverse of lower triangular Toeplitz matrix Brunner's conjecture Abel equation |
| ISSN号 | 0024-3795 |
| DOI | 10.1016/j.laa.2011.02.044 |
| 英文摘要 | A uniform bound on the 1-norm is given for the inverse of a lower triangular Toeplitz matrix with non-negative monotonically decreasing entries whose limit is zero. The new bound is sharp under certain specified constraints. This result is then employed to throw light upon a long standing open problem posed by Brunner concerning the convergence of the one-point collocation method for the Abel equation. In addition, the recent conjecture of Gauthier et al. is proved. (C) 2011 Elsevier Inc. All rights reserved. |
| 资助项目 | CAPES ; CNPq ; Fundacao Araucaria, Brazil ; NSFC ; CAS, China |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000292438800020 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/12088]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Yuan, J. Y. |
| 作者单位 | 1.UFPR, Ctr Politen, Dept Matemat, BR-81531980 Curitiba, Parana, Brazil 2.Chinese Acad Sci, AMSS, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China 3.Univ Strathclyde, Dept Math, Glasgow G1 1XH, Lanark, Scotland |
| 推荐引用方式 GB/T 7714 | Liu, X.,McKee, S.,Yuan, J. Y.,et al. Uniform bounds on the 1-norm of the inverse of lower triangular Toeplitz matrices[J]. LINEAR ALGEBRA AND ITS APPLICATIONS,2011,435(5):1157-1170. |
| APA | Liu, X.,McKee, S.,Yuan, J. Y.,&Yuan, Y. X..(2011).Uniform bounds on the 1-norm of the inverse of lower triangular Toeplitz matrices.LINEAR ALGEBRA AND ITS APPLICATIONS,435(5),1157-1170. |
| MLA | Liu, X.,et al."Uniform bounds on the 1-norm of the inverse of lower triangular Toeplitz matrices".LINEAR ALGEBRA AND ITS APPLICATIONS 435.5(2011):1157-1170. |
入库方式： OAI收割
来源：数学与系统科学研究院
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