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

Hong-Xiu Zhong, Guo-Liang Chen and Xiang-Yun Zhang

Journal of Applied Mathematics, 2014, vol. 2014, 1-9

Abstract:

Given pairs of complex numbers and vectors (closed under conjugation), we consider the inverse quadratic eigenvalue problem of constructing real matrices , , , and , where , and are symmetric, and is skew-symmetric, so that the quadratic pencil has the given pairs as eigenpairs. First, we construct a general solution to this problem with . Then, with the special properties and , we construct a particular solution. Numerical results illustrate these solutions.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:703178

DOI: 10.1155/2014/703178

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