The Quadratic Eigenvalue Problem
SIAM Review
Numerical Solution of Quadratic Eigenvalue Problems with Structure-Preserving Methods
SIAM Journal on Scientific Computing
Solutions of the Partially Described Inverse Quadratic Eigenvalue Problem
SIAM Journal on Matrix Analysis and Applications
| Hi-index | 7.29 |
In this paper, we discuss the quadratic inverse eigenvalue problem for damped gyroscopic systems, that is, we are to construct a damped gyroscopic second order system having given 2n eigenvalues and associated eigenvectors as its full eigenstructure. Under some mild assumptions, the coefficient matrices are constructed in a recursive process. We also discuss how to obtain a damped gyroscopic system with the leading coefficient matrix M being positive definite.