Characteristic polynomials of some perturbed matrices
文献类型：期刊论文
| 作者 | Ding, Jiu1; Zhou, Aihui2
|
| 刊名 | APPLIED MATHEMATICS AND COMPUTATION
 |
| 出版日期 | 2008-06-01 |
| 卷号 | 199期号:2页码:631-636 |
| 关键词 | eigenvalue characteristic polynomial perturbation |
| ISSN号 | 0096-3003 |
| DOI | 10.1016/j.amc.2007.10.024 |
| 英文摘要 | Using a determinant identity, we establish an algebraic relation between the characteristic polynomial of a matrix and its perturbation of special structure. When the perturbation satisfies some linear independence condition, the factored expression of the characteristic polynomial of the perturbed matrix is obtained. Some known eigenvalue theorems in the literature can be derived directly as corollaries of the new result. (c) 2007 Elsevier Inc. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000255320900023 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/6871]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Ding, Jiu |
| 作者单位 | 1.Univ So Mississippi, Dept Math, Hattiesburg, MS 39406 USA 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci & Engn Comp, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Ding, Jiu,Zhou, Aihui. Characteristic polynomials of some perturbed matrices[J]. APPLIED MATHEMATICS AND COMPUTATION,2008,199(2):631-636. |
| APA | Ding, Jiu,&Zhou, Aihui.(2008).Characteristic polynomials of some perturbed matrices.APPLIED MATHEMATICS AND COMPUTATION,199(2),631-636. |
| MLA | Ding, Jiu,et al."Characteristic polynomials of some perturbed matrices".APPLIED MATHEMATICS AND COMPUTATION 199.2(2008):631-636. |
入库方式： OAI收割
来源：数学与系统科学研究院
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