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	Solutions of the partially described inverse quadratic eigenvalue problem
	Kuo, Yuen-Cheng ; Lin, Wen-Wei ; Xu, Shu-Fang
	2007
关键词	quadratic eigenvalue problem inverse eigenvalue problem partially prescribed spectrum partial eigenstructure assignment EIGENSTRUCTURE ASSIGNMENT VIBRATING SYSTEMS PENCIL
英文摘要	Given k pairs of complex numbers and vectors (closed under conjugation), we consider the inverse quadratic eigenvalue problem of constructing n x n real symmetric matrices M, C, and K (with M positive definite) so that the quadratic pencil Q(lambda) = lambda(2) M + lambda C + K has the given k pairs as eigenpairs. Using various matrix decompositions, we first construct a general solution to this problem with k <= n. Then, with appropriate choices of degrees of freedom in the general solution, we construct several particular solutions with additional eigeninformation or special properties. Numerical results illustrating these solutions are also presented.; Mathematics, Applied; SCI(E); EI; 28; ARTICLE; 1; 33-53; 29
语种	英语
出处	SCI ; EI
出版者	siam journal on matrix analysis and applications
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/398126]
专题	数学科学学院
推荐引用方式 GB/T 7714	Kuo, Yuen-Cheng,Lin, Wen-Wei,Xu, Shu-Fang. Solutions of the partially described inverse quadratic eigenvalue problem. 2007-01-01.

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