Uniform bounds on the 1-norm of the inverse of lower triangular Toeplitz matrices

doi:10.1016/j.laa.2011.02.044

	Uniform bounds on the 1-norm of the inverse of lower triangular Toeplitz matrices
	Liu, X.2 ; McKee, S.3; Yuan, J. Y.1; Yuan, Y. X.2
	2011-09-01
发表期刊	LINEAR ALGEBRA AND ITS APPLICATIONS
ISSN	0024-3795
卷号	435 期号:5 页码:1157-1170
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.
关键词	1-Norm uniform upper bound Inverse of lower triangular Toeplitz matrix Brunner's conjecture Abel equation
DOI	10.1016/j.laa.2011.02.044
语种	英语
资助项目	CAPES ; CNPq ; Fundacao Araucaria, Brazil ; NSFC ; CAS, China
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000292438800020
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/12089
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.