Solutions of a Quadratic Inverse Eigenvalue Problem for Damped Gyroscopic Second-Order Systems

Autor: Hong-Xiu Zhong, Guo-Liang Chen, Xiang-Yun Zhang
Jazyk: angličtina
Rok vydání: 2014
Předmět:
Zdroj: Journal of Applied Mathematics, Vol 2014 (2014)
Druh dokumentu: article
ISSN: 1110-757X
1687-0042
DOI: 10.1155/2014/703178
Popis: Given k pairs of complex numbers and vectors (closed under conjugation), we consider the inverse quadratic eigenvalue problem of constructing n×n real matrices M, D, G, and K, where M>0, K and D are symmetric, and G is skew-symmetric, so that the quadratic pencil Q(λ)=λ2M+λ(D+G)+K has the given k pairs as eigenpairs. First, we construct a general solution to this problem with k≤n. Then, with the special properties D=0 and K
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