QQ客服 官方微博 反馈留言

	Solutions to a quadratic inverse eigenvalue problem
	Cai, Yun-Feng ; Kuo, Yuen-Cheng ; Lin, Wen-Wei ; Xu, Shu-Fang
	2009
关键词	Quadratic eigenvalue problem Inverse eigenvalue problem Eigenstructure assignment Vibrating system ISOSPECTRAL VIBRATING SYSTEMS MATRICES PENCIL
英文摘要	In this paper, we consider the quadratic inverse eigenvalue problem (QIEP) of constructing real symmetric matrices M, C, and K of size n x it, with (M, C, K) 0 0, so that the quadratic matrix polynomial Q(lambda) = lambda(2)M + lambda X + K has in (n < m <= 2n) prescribed eigenpairs. It is shown that, for almost all prescribed eigenpairs, the QIEP has a solution with M nonsingular if m < m(*), and has only solutions with (Q(lambda)) equivalent to 0 otherwise, where m(*) = n + (1 + root 1 +8 n)/2. We also derive the expression of the general solution of the QIEP for both cases. Further-more, we develop an algorithm for finding a particular solution to the QIEP with M positive definite if it exists. (c) 2008 Elsevier Inc. All rights reserved.; Mathematics, Applied; Mathematics; SCI(E); EI; CPCI-S(ISTP); 14
语种	英语
出处	EI ; SCI
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/157733]
专题	数学科学学院
推荐引用方式 GB/T 7714	Cai, Yun-Feng,Kuo, Yuen-Cheng,Lin, Wen-Wei,et al. Solutions to a quadratic inverse eigenvalue problem. 2009-01-01.

个性服务

查看访问统计

相关权益政策

暂无数据

收藏/分享

除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。