A dual optimization approach to inverse quadratic eigenvalue problems with partial eigenstructure

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	A dual optimization approach to inverse quadratic eigenvalue problems with partial eigenstructure
	Bai, Z. J. ; Chu, D. L. ; Sun, D. F. ; Bai ZJ(白正简)
刊名	http://dx.doi.org/10.1137/060656346
	2007
关键词	SEMIDEFINITE COMPLEMENTARITY-PROBLEMS OPTIMAL WEIGHTED ORTHOGONALIZATION NEAREST CORRELATION MATRIX VALUED FUNCTIONS MEASURED MODES NEWTON METHOD NONDEGENERACY STIFFNESS EQUATIONS IMPROVEMENT
英文摘要	The inverse quadratic eigenvalue problem (IQEP) arises in the field of structural dynamics. It aims to find three symmetric matrices, known as the mass, the damping, and the stiffness matrices, such that they are closest to the given analytical matrices and satisfy the measured data. The difficulty of this problem lies in the fact that in applications the mass matrix should be positive definite and the stiffness matrix positive semidefinite. Based on an equivalent dual optimization version of the IQEP, we present a quadratically convergent Newton-type method. Our numerical experiments confirm the high efficiency of the proposed method.
语种	英语
出版者	Society for Industrial and Applied Mathematics
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/66496]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Bai, Z. J.,Chu, D. L.,Sun, D. F.,et al. A dual optimization approach to inverse quadratic eigenvalue problems with partial eigenstructure[J]. http://dx.doi.org/10.1137/060656346,2007.
APA	Bai, Z. J.,Chu, D. L.,Sun, D. F.,&白正简.(2007).A dual optimization approach to inverse quadratic eigenvalue problems with partial eigenstructure.http://dx.doi.org/10.1137/060656346.
MLA	Bai, Z. J.,et al."A dual optimization approach to inverse quadratic eigenvalue problems with partial eigenstructure".http://dx.doi.org/10.1137/060656346 (2007).