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| Generalized rayleigh principle and its applications | |
Li JC(李家春) ; LI, JH (reprint author), ACAD SINICA,INST MECH,BEIJING,PEOPLES R CHINA.
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| 发表期刊 | Scientia Sinica Series A-Mathematical Physical Astronomical & Technical Sciences
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| 1983 | |
| 卷号 | 26期号:11页码:1178-1188 |
| ISSN | 0253-5831 |
| 摘要 | In this paper, we mainly deal with cigenvalue problems of non-self-adjoint operator. To begin with, the generalized Rayleigh variational principle, the idea of which was due to Morse and Feshbach, is examined in detail and proved more strictly in mathematics. Then, other three equivalent formulations of it are presented. While applying them to approximate calculation we find the condition under which the above variational method can be identified as the same with Galerkin's one. After that we illustrate the generalized variational principle by considering the hydrodynamic stability of plane Poiseuille flow and Bénard convection. Finally, the Rayleigh quotient method is extended to the cases of non-self-adjoint matrix in order to determine its strong eigenvalne in linear algebra. |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:A1983RV07100005 |
| WOS研究方向 | Science & Technology - Other Topics |
| WOS类目 | Multidisciplinary Sciences |
| 引用统计 | |
| 文献类型 | 期刊论文 |
| 条目标识符 | http://dspace.imech.ac.cn/handle/311007/39890 |
| 专题 | 力学所知识产出(1956-2008) |
| 通讯作者 | LI, JH (reprint author), ACAD SINICA,INST MECH,BEIJING,PEOPLES R CHINA. |
| 推荐引用方式 GB/T 7714 | Li JC,LI, JH . Generalized rayleigh principle and its applications[J]. Scientia Sinica Series A-Mathematical Physical Astronomical & Technical Sciences,1983,26,11,:1178-1188. |
| APA | 李家春,&LI, JH .(1983).Generalized rayleigh principle and its applications.Scientia Sinica Series A-Mathematical Physical Astronomical & Technical Sciences,26(11),1178-1188. |
| MLA | 李家春,et al."Generalized rayleigh principle and its applications".Scientia Sinica Series A-Mathematical Physical Astronomical & Technical Sciences 26.11(1983):1178-1188. |
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