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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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