Abstract
In this paper, we consider to solve a general form of real n _ n matricesM, D, G, K where M, G are symmetric and D is skew-symmetric for anquadratic inverse eigenvalue problem (QIEP) from gyroscopic systems:Q(λ) ≡ [λ^2 M + λ (D + G) + K]x = 0.For simplicity, we only need to solve the QIEP:Q(λ) ≡ (λ^2 M + λC + K)x = 0,where C is an arbitrary n_n real matrix, so that Q(_) has a fully prescribed2n eigenvalues and eigenvectors. In addition, we give some numerical resultsto show the solvability of the above described QIEPs.