Tridiagonal normal forms for orthogonal similarity classes of symmetric matrices
文献类型：期刊论文
| 作者 | Dokovic, DZ; Zhao, KM |
| 刊名 | LINEAR ALGEBRA AND ITS APPLICATIONS
 |
| 出版日期 | 2004-06-01 |
| 卷号 | 384页码:77-84 |
| 关键词 | orthogonal group symmetric matrices tridiagonal matrices symmetrized Jordan blocks |
| ISSN号 | 0024-3795 |
| DOI | 10.1016/j.laa.2003.12.038 |
| 英文摘要 | Let F be an algebraically closed field of characteristic different from 2. Define the orthogonal group, O-n (F), as the group of n by n matrices X over F such that XX' = I-n, where X' is the transpose of X and In the identity matrix. We show that every n by n symmetric matrix over F is orthogonally similar to a tridiagonal symmetric matrix. If further the characteristic is 0, we construct the tridiagonal normal form for the O-n (F)- similarity classes of symmetric matrices. We point out that, in this case, the known normal forms (as presented in the well known book by Gantmacher) are not tridiagonal. (C) 2004 Elsevier Inc. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000221592100006 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/19142]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Dokovic, DZ |
| 作者单位 | 1.Univ Waterloo, Dept Pure Math, Waterloo, ON N2L 3G1, Canada 2.Wilfrid Laurier Univ, Dept Math, Waterloo, ON N2L 3C5, Canada 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Dokovic, DZ,Zhao, KM. Tridiagonal normal forms for orthogonal similarity classes of symmetric matrices[J]. LINEAR ALGEBRA AND ITS APPLICATIONS,2004,384:77-84. |
| APA | Dokovic, DZ,&Zhao, KM.(2004).Tridiagonal normal forms for orthogonal similarity classes of symmetric matrices.LINEAR ALGEBRA AND ITS APPLICATIONS,384,77-84. |
| MLA | Dokovic, DZ,et al."Tridiagonal normal forms for orthogonal similarity classes of symmetric matrices".LINEAR ALGEBRA AND ITS APPLICATIONS 384(2004):77-84. |
入库方式： OAI收割
来源：数学与系统科学研究院
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