Rounding errors of partial derivatives of simple eigenvalues of the quadratic eigenvalue problem | |
Lu, Xin ; Xu, Shufang | |
2015 | |
关键词 | Rounding error Partial derivative Simple eigenvalue Quadratic eigenvalue problem DAMPED SYSTEMS EIGENVECTORS SENSITIVITY |
英文摘要 | In this paper, we derive rounding errors of partial derivatives of a simple eigenvalue of the quadratic eigenvalue problem dependent on several parameters. We prove a series of lemmas and finally get theorems of rounding errors of both nonsymmetric and symmetric QEPs. Examples are given to show the validity of our theorems, and numerical results show that our rounding error is a very good upper bound estimation of the relative error of the eigenvalue. (C) 2015 Elsevier B.V. All rights reserved.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000350923100021&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Mathematics, Applied; SCI(E); EI; 0; ARTICLE; inbelief@163.com; xsf@pku.edu.cn; 268-277; 282 |
语种 | 英语 |
出处 | EI ; SCI |
出版者 | 计算与应用数学杂志 |
内容类型 | 其他 |
源URL | [http://hdl.handle.net/20.500.11897/157269] |
专题 | 数学科学学院 |
推荐引用方式 GB/T 7714 | Lu, Xin,Xu, Shufang. Rounding errors of partial derivatives of simple eigenvalues of the quadratic eigenvalue problem. 2015-01-01. |
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