A new estimate for a quantity involving the Chebyshev polynomials of the first kind

doi:10.1016/j.jmaa.2019.03.025

	A new estimate for a quantity involving the Chebyshev polynomials of the first kind
	Xu, Xuefeng 1,2; Zhang, Chen-Song3,4
	2019-08-15
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	476 期号:2 页码:302-308
摘要	In this paper, we establish a new estimate (including lower and upper bounds) for an important quantity involved in the convergence analysis of smoothed aggregation algebraic multigrid methods. The new upper bound improves the existing ones. And our upper bound is optimal. (C) 2019 Elsevier Inc. All rights reserved.
关键词	Chebyshev polynomials Recurrence relation Smoothed aggregation
DOI	10.1016/j.jmaa.2019.03.025
语种	英语
资助项目	National Key Research and Development Program of China[2016YFB0201304] ; Key Research Program of Frontier Sciences of CAS
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000466259600003
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/34577
专题	计算数学与科学工程计算研究所
通讯作者	Xu, Xuefeng
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, NCMIS, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Xu, Xuefeng,Zhang, Chen-Song. A new estimate for a quantity involving the Chebyshev polynomials of the first kind[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2019,476(2):302-308.
APA	Xu, Xuefeng,&Zhang, Chen-Song.(2019).A new estimate for a quantity involving the Chebyshev polynomials of the first kind.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,476(2),302-308.
MLA	Xu, Xuefeng,et al."A new estimate for a quantity involving the Chebyshev polynomials of the first kind".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 476.2(2019):302-308.