The formulation and numerical method for partial quadratic eigenvalue assignment problems | |
Cai, Yun-Feng ; Qian, Jiang ; Xu, Shu-Fang | |
2011 | |
关键词 | eigenvalue assignment second-order system quadratic eigenvalue POLE ASSIGNMENT |
英文摘要 | In this paper, we consider the minimum norm and robust partial quadratic eigenvalue assignment problems (PQEVAP). A complete theory on the existence of solutions for the PQEVAP is established. It is shown that solving the PQEVAP is essentially solving an eigenvalue assignment for a linear system of a much lower order, and the minimum norm and robust PQEVAPs are then concerning the minimum norm and robust eigenvalue assignment problems associated with this linear system. Based on this theory, an algorithm for solving the minimum norm and robust PQEVAPs is proposed, and its efficient behaviors are illustrated by some numerical examples. Copyright (C) 2010 John Wiley & Sons, Ltd.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000292548100002&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Mathematics, Applied; Mathematics; SCI(E); 5; ARTICLE; 4; 637-652; 18 |
语种 | 英语 |
出处 | SCI |
出版者 | numerical linear algebra with applications |
内容类型 | 其他 |
源URL | [http://hdl.handle.net/20.500.11897/157585] |
专题 | 数学科学学院 |
推荐引用方式 GB/T 7714 | Cai, Yun-Feng,Qian, Jiang,Xu, Shu-Fang. The formulation and numerical method for partial quadratic eigenvalue assignment problems. 2011-01-01. |
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