Numerical bounds on the Crouzeix ratio for a class of matrices
文献类型：期刊论文
| 作者 | Crouzeix, Michel1; Greenbaum, Anne2; Li, Kenan3 |
| 刊名 | CALCOLO
 |
| 出版日期 | 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. |
| WOS关键词 | CONJECTURE |
| 资助项目 | France ; Centre Henri Lebesgue[ANR-11-LABX-0020-01] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:001243615100001 |
| 出版者 | SPRINGER-VERLAG ITALIA SRL |
| 资助机构 | France ; Centre Henri Lebesgue |
| 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.Univ Rennes, CNRS, IRMAR, UMR 6625, F-35000 Rennes, France 2.Univ Washington, Appl Math Dept, Box 353925, Seattle, WA 98195 USA 3.Chinese Acad Sci, Inst Automat, Beijing, Peoples R China |
| 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. |
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