Numerical bounds on the Crouzeix ratio for a class of matrices

doi:10.1007/s10092-024-00580-6

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	Numerical bounds on the Crouzeix ratio for a class of matrices
	Crouzeix, Michel 3; Greenbaum, Anne 2; Li, Kenan 1
刊名	CALCOLO
	2024-06-01
卷号	61 期号:2 页码:18
关键词	Numerical range Spectral set
ISSN号	0008-0624
DOI	10.1007/s10092-024-00580-6
通讯作者	Crouzeix, Michel(michel.crouzeix@univ-rennes.fr)
英文摘要	We provide numerical bounds on the Crouzeix ratio for KMS matrices A which have a line segment on the boundary of the numerical range. The Crouzeix ratio is the supremum over all polynomials p of the spectral norm of p(A) divided by the maximum absolute value of p on the numerical range of A. Our bounds satisfy the conjecture that this ratio is less than or equal to 2. We also give a precise description of these numerical ranges.
资助项目	France ; Centre Henri Lebesgue[ANR-11-LABX-0020-01]
WOS关键词	CONJECTURE
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER-VERLAG ITALIA SRL
WOS记录号	WOS:001243615100001
资助机构	France ; Centre Henri Lebesgue
内容类型	期刊论文
源URL	[http://ir.ia.ac.cn/handle/173211/58673]
专题	数字内容技术与服务研究中心_听觉模型与认知计算
通讯作者	Crouzeix, Michel
作者单位	1.Chinese Acad Sci, Inst Automat, Beijing, Peoples R China 2.Univ Washington, Appl Math Dept, Box 353925, Seattle, WA 98195 USA 3.Univ Rennes, CNRS, IRMAR, UMR 6625, F-35000 Rennes, France
推荐引用方式 GB/T 7714	Crouzeix, Michel,Greenbaum, Anne,Li, Kenan. Numerical bounds on the Crouzeix ratio for a class of matrices[J]. CALCOLO,2024,61(2):18.
APA	Crouzeix, Michel,Greenbaum, Anne,&Li, Kenan.(2024).Numerical bounds on the Crouzeix ratio for a class of matrices.CALCOLO,61(2),18.
MLA	Crouzeix, Michel,et al."Numerical bounds on the Crouzeix ratio for a class of matrices".CALCOLO 61.2(2024):18.